[1] Bowman, K. O. and David, H. A. (1962), *Estimation of the Strength of a
Radioactive Source*, Virginia Polytechnic Institute, Technical Report No. 54.

[2] Bowman, K. O. and Shenton, L. R. (1965), *Asymptotic
Covariances for the Maximum Likelihood Estimators of the
Parameters of a Negative Binomial Distribution*, K-1643.

[3] Bowman, K. O. and Shenton, L. R. (1965), *Biases and
Covariances of Maximum Likelihood Estimators*, K-1633.

[4] Bowman, K. O. and Shenton, L. R. (1966), *Biases of Estimator
for the Negative Binomial Distribution*, ORNL-4005.

[5] Kastenbaum, M. A. and Bowman, K. O. (1966), *The Minimum
Significant Number of Successes in a Binomial Sample*, ORNL-
3909.

[6] Uppuluri, V. R. R. and Bowman, K. O. (1966), *Likelihood Ratio
Test Criterion for Small Samples from Multinomial
Distribution*, ORNL-3991.

[7] Uppuluri, V. R. R. and Bowman, K. O. (1966), *Data on Set of
Trinomial Distribution*, ORNL-4004.

[8] Bowman, K. O. and Shenton, L. R. (1967), *Remarks on Estimation
Problems for the Parameters of the Neyman Type A Distribution*,
ORNL-4102.

[9] Shenton, L. R. and Bowman, K. O. (1967), "Sampling Moments of Moment and
Maximum Likelihood Estimators for Discrete Distribution,"
*Computer Center, University of Georgia*, Technical Reprint Series 1.

[10] Bowman, K. O. and Shenton, L. R. (1968), *Properties of
Estimators for the Gamma Distribution*, CTC-1.

[11] Gosslee, D. G. and Bowman, K. O. (1968), *Evaluation of Maximum
Likelihood Estimates of Parameters in Mixture of Normal
Distribution*, ORNL-TM-2110.

[12] Bowman, K. O. and Shenton, L. R. (1969), *Factorable
Determinants*, CTC-10.

[13] Bowman, K. O. and Shenton, L. R. (1969), *Moments of Moments
and Frequencies*, CTC-13.

[14] Kastenbaum, M. A., Hoel, D. G. and Bowman, K. O. (1969),
*Sample Size Requirements: Tests of Equality of Several
Gaussian Means*, ORNL-4468.

[15] Shenton, L. R., Bowman, K. O. and Hutcheson, K. (1969),
*Comments on the Distribution of Indices of Diversity*,
CTC-14.

[16] Bowman, K. O. and Shenton, L. R. (1970), *Small Sample
Properties of Estimator for the Gamma Distribution*, CTC-28.

[17] Kastenbaum, M. A., Hoel, D. G. and Bowman, K. O. (1970),
*Adequate Sample Size for Randomized Block Designs*,
ORNL-4527.

[18] Bowman, K. O. (1971), *Sample Size Requirement:
Continuation*, ORNL-4712.

[19] Bowman, K. O. and Shenton, L. R. (1971), *Note on Fisher's
Linkage Estimation Problem*, ORNL-4701.

[20] Bowman, K. O. and Shenton, L. R. (1971), *Tables of Moments of
the Maximum Likelihood Estimators of the Parameter p for Zero
Truncated Binomial Distribution*, ORNL-4747.

[21] Dusenberry, W. E. and Bowman, K. O. (1973), *Percentage Points of Moment
Estimators which are Ratio with an Application to the Shape Parameter of
the Gamma Distribution*, ORNL-4876.

[22] Handley, B. J. and Bowman, K. O. (1973), *An Examination of Several Methods
of Estimation for ABO Blood Groups*, CTC-58.

[23] Bowman, K. O., Beauchamp, J. J. and Miller, F. L. (1975), *Statistical
Analysis of Environmental Data*, CSD-INF-64.

[24] Bowman, K. O. and Shenton, L. R. (1975), *Tables of Moments of the
Skewness and Kurtosis Statistics in Nonnormal Sampling*, CSD-8.

[25] Shenton, L. R. and Bowman, K. O. (1976), *Summable Asymptotic Series*,
ORNL/CSD 6.

[26] Bowman, K. O. (1980), *One Aspect of the Statistical Evaluation of a
Computer Model*, ORNL/CSD-52.

[27] Bowman, K. O. and Shenton, L. R. (1981), *Estimation Problems Associated
with the Weibull Distribution*, ORNL/CSD-79.

[28] Bowman, K. O. and Shenton, L. R. (1981), "*Moment (sqrt( b_{1}),
b_{2}) Techniques*," ORNL/CSD-83.

[29] Bowman, K. O. and Leach, E. L. (1983), "Confidence limits for the expectation of a Poisson variable," ORNL/CSD-115.

[30] Bowman, K. O. and Shenton L. R. (1983), "The Distribution of the Standard Deviation and Skewness in Gamma Sampling - A New Look at a Craig-Pearson Study," ORNL/CSD-109.

[31] Bowman, K. 0., Shenton, L. R. and Kastenbaum, M. A. (1991), "Discrete Pearson Distribution," ORNL/TM-11899.

[32] Nanstad, R. K., Haggag, F. M., McCabe, D. E., Iskandeer, S. K., Bowman, K. O. and Menke, B. H. (1992), "Irradiation Effects on Fracture Toughness of Two High-Copper Submerged-Arc Welds, HSSI Series 5", ORNL/TM-12156/V1.

[33] Bowman, K. O., Shenton, L. R., Kastenbaum, M. A. and Broman, Karl (1992). "Overdispersion: Notes on Discrete Distributions", ORNL/TM-12167.

[34] Nanstad, R. K., Haggag, F. M., McCabe, D. E. Downing, D. J. and
Bowman, K. O. (1993). "*K _{ic}* Curve in High-Copper Welds",
NUREG/CR-5591, ORNL/TM-11568/V1&N2, Vol.1, No.2.

[35] Bowman, K. O., Kastenbaum, M. A., and Shenton, L. R. (1996), Fitting Multi-Parameter Distributions to Human Chromosome Data, Technical Report Number 96-3, Department of Statistics, University of Georgia.

[36] Bowman, K. O. and Shenton, L. R. (1996), The Beta Distribution and Its Four Parameters: A Karl Pearson Centenary Paper, Technical Report Number 96-14, Department of Statistics, University of Georgia.

[37] Bowman, K. O., Shenton, L. R. and Gailey, P. C. (1996), Distribution of the Ratio of Gamma Variate, Technical Report Number 96-18, Department of Statistics, University of Georgia.

[38] Bowman, K. O. and Williams, P. T. (2000). Technical Basis for Statistical Models of Extended K(Ic) and K(Ia) Fracture Toughness Databases for RPV Steels, ORNL/NRC/LTR-99/27.

[39] Bowman, K. O. and Shenton, L. R. (2000), Weibull Distributions When the Shape Parameter is Defined, Technical Report Number 2000-21, Department of Statistics University of Georgia.

[40] Bowman, K. O. and Shenton, L. R. (2001), Mixture of Distributions with Invariant Shape Components, Technical Report, Department of Statistics, University of Georgia.

[41] Bowman, K. O. and Shenton, L. R. (2003), Sample size assessment and the two component Poisson mixture, proportion known, Technical Report Number 2003-7, Department of Statistics, University of Georgia.

[42] Bowman, K. O. and Shenton, L. R. (2003), Canonical dichotomized alternant determinants and Poisson mixtures, Technical Report Number 2003-8, Department of Statistics, University of Georgia.

[43] Bowman, K. O. and Shenton, L. R. (2004), The Asymptotic variance and Skewness of Maximum Likelihood Estimators Using Maple, Technical Report Number 2004-1, Department of statostocs. University of Georgia.

[44] Bowman, K. O. and Shenton, L. R. (2007), The Difference Calculas and the Negative Binomial Distribution, Technical Report Number 2007-1, Department of statostocs. University of Georgia.

[1] Shenton, L. R. and Bowman, K. O. (1963), "Higher Moments of a Maximum-Likelihood Estimator", *J. Roy. Statist. Soc., Ser. B.*, 25, 305-317.

[2] Shenton, L. R. and Bowman, K. O. (1967), "Remarks on Large Sample Estimators
for Some Discrete Distributions," *Technometrics*, 9, 587-598.

[3] Newell, Guy R., Harris, W. W., Bowman, K. O., Boone, C. W. and
Anderson, N. G. (1968), "Evaluation of 'Virus-Like' particles in
the Plasmas of 255 Patients with Leukemia and Related Diseases,"
*New Eng. J. of Med.*, 278, 1185-1191.

[4] Shenton, L. R. and Bowman, K. O. (1969), "Maximum Likelihood
Estimator Moments for the Two-Parameter Gamma Distribution,"
*Sankhya Ser. B*, 31, Pts. 3 and 4, 379-396.

[5] Bowman, K. O. and Shenton, L. R. (1970), "Properties of the
Maximum Likelihood Estimator for the Parameter of the Logarithmic
Series Distribution," *Random Counts in Scientific Work*, 1, ed.,
G. P. Patil, Pennsylvania State University Press, 127-150.

[6] Kastenbaum, M. A. and Bowman, K. O. (1970), "Tables for
Determining the Statistical Significance of Mutation
Frequencies," *Mut. Res.*, 9, 527-549.

[7] Kastenbaum, M. A., Hoel, D. G. and Bowman, K. O. (1970), "Sample
Size Requirement: One Way Analysis of Variance,"
*Biometrika*, 57, 421-430.

[8] Kastenbaum, M. A., Hoel, D. G. and Bowman, K. O. (1970), "Sample
Size Requirement: Randomized Block Design," *Biometrika*,
57(3), 573-577.

[9] Shenton, L. R. and Bowman, K. O. (1970), "Remarks on Thom's
Estimators for the Gamma Distribution," *Monthly Weather
Rev.*, 98(2), 154-160.

[10] Shenton, L. R. and Bowman, K. O. (1970), "Tables of the Moments
of the Maximum Likelihood Estimators of the Two Parameter Gamma
Distribution," *Rep. Statist. Appl. Res., JUSE*, 17(3), 25-44.

[11] Bowman, K. O. and Shenton, L. R. (1971), "Small Sample Properties
of the Maximum Likelihood Estimator Associated with Fisher's
Linkage Problem," *Jour. Stat. Comput. and Simulation*, 1,
71-85.

[12] Shenton, L. R. and Bowman, K. O. (1971), "Continued Fractions for
the PSI Function and Its Derivatives," *SIAM Jour. Appl.
Math.*, 20(4), 547-554.

[13] Shenton, L. R. and Bowman, K. O., and Sheehan, D. (1971),
"Sampling Moments of Moments Associated with Univariate
Distribution," *JRSS Ser. B*, 33, 444-457.

[14] Bowman K. O. (1972), "Tables of the Sample Size Requirement,"
*Biometrika*, 59, 234.

[15] Bowman, K. O. and Shenton, L. R. (1972), "Factorable Determinant,"
*The Math Mag.*, 45(3), 144-147.

[16] Shenton, L. R. and Bowman, K. O. (1972), "Further Remarks on
Maximum Likelihood Estimators for the Gamma Distribution,"
*Technometrics*, 14, 725-733.

[17] Bowman, K. O. (1973), "Power of the Kurtosis Statistic (*b*_{2}) in Tests
of Departures from Normality," *Biometrika*, 60, 623-628.

[18] Bowman, K. O. and Shenton, L. R. (1973), "Notes on the Distribution of
sqrt(*b*_{1}) in Sampling from Pearson Distributions," *Biometrika*,
60, 155-167.

[19] Bowman, K. O. and Shenton, L. R. (1973), "Remarks on the Distribution of Karl
Pearson's k-Statistic, *k* = 2*b*_{2} -
3*b*_{1} - 6," *Bull. Internat.
Statist. Inst. Proc. of the 39th Session, Vol. XLV, Book 1*, 210-218.

[20] Bowman, K. O. and Shenton. L. R. (1973), "Space of Solutions for a Normal
Mixture," *Biometrika*, 60, 629-636.

[21] Shenton, L. R. and Bowman, K. O. (1973), "Notes on the Sample Size to Achieve
Normality for Maximum Likelihood Estimators for the Gamma Distribution,"
*Monthly Weather Rev.*, 101(12), 891-892.

[22] Bowman, K. O. and Shenton, L. R. (1973), "Remarks on the Distribution of
sqrt(b_{1}) in Sampling from a Normal Mixture and Normal Type A
Distribution," *J. Amer. Statist. Assoc.*, 68, 998-1003.

[23] Bowman, K. O. and Kastenbaum, M. A. (1974), "Potential Pitfalls of Portable
Power," *Technometrics*, 16(3), 349-353.

[24] Patel, Y. C., Shenton, L. R. and Bowman, K. O. (1974), "Maximum Likelihood
Estimation for the Parameters of the Hermite Distribution," *Sankhya*,
36, 154-162.

[25] Bowman, K. O. and Beauchamp, J. J. (1975), "Pitfalls with Some Gamma Variate
Simulation Routines," *J. Statist. Comput. Simulation*, 4, 141-154.

[26] Shenton, L. R. and Bowman, K. O. (1975), "Johnson's *S _{U}* and the
Skewness and Kurtosis Statistic,"

[27] Bowman, K. O. and Shenton, L. R. (1975), "Omnibus" Test Contours for
Departures from Normality Based on sqrt(*b*_{1}) and *b*_{2},
*Biometrika*, 62, 243-250.

[28] Shenton, L. R. and Bowman, K. O. (1975), "The Development of Techniques
for the Evaluation of Sampling Moments," *Internat. Statist. Rev.*,
43(3), 317-334.

[29] Shenton, L. R. and Bowman, K. O. (1976), "A New Algorithm for Summing
Divergent Series Part I. Basic Theory and Illustrations," *Journal of
Computational and Applied Mathematics*, 2, 151-167.

[30] Bowman, K. O. and Shenton, L. R. (1976), "A New Algorithm for Summing
Divergent Series Part II. A Two-Component Borel Summability Model,"
*Journal of Computational and Applied Mathematics*, 2, 259-266.

[31] Bowman, K. O., Beauchamp, J. J. and Shenton, L. R. (1977), "The
Distribution of the t-Statistic Under Non-Normality ," *International
Statistical Review*, 45, 233-242.

[31] Dusenberry, W. E. and Bowman, K. O. (1977), "The Moment Estimator for the
Shape Parameter of the Gamma Distribution," *Comm. Stat. Part B.,
Simulation and Computation*, 6, 1-19.

[32] Pearson, E. S., D'Agostino, R. B. and Bowman, K. O. (1977), "Test for
Departure from Normality: Comparison of Powers," *Biometrika*, 64,
231-246.

[33] Shenton, L. R. and Bowman, K. O. (1977), "A Bivariate Model for the
Distribution of sqrt(*b*_{1}) and *b*_{2}," *Journal of the
American Statistical Association*, 72, 206-211.

[34] Shenton, L. R. and Bowman, K. O. (1977), "A New Algorithm for Summing
Divergent Series Part III: Application," *Journal of Computation and
Applied Mathematics*, 3, 35-51.

[35] Bowman, K. O. and Shenton, L. R. (1978), "Asymptotic Series and Stiltjies
Continued Fractions for a Gamma Function Ratio, *Journal of Computation
and Applied Mathematics*, 4, 105-111.

[36] Shenton, L. R. and Bowman, K. O. (1978), "Generalized Continued Fractions
and Whittaker's Approach," *Journal of Computation and Applied
Mathematics*, 4, 3-5.

[37] Bowman, K. O. and Shenton, L. R. (1979), "Approximate Percentage Points for
Pearson Distribution," *Biometrika*, 66, 147-151.

[38] Bowman, K. O. and Shenton, L. R. (1979), "Further Approximate Pearson
Percentage Points and Cornish-Fisher," *Comm. Stat. Part B, Simulation
and Computation*, B(8), 231-244.

[39] Shenton, L. R., Bowman, K. O. and Lam, H. K. (1979), "Comments on a paper by
Geary," *Biometrika*, 66, 400-401.

[40] Bowman, K. O. and Shenton, L. R. (1980), "Evaluation of the Parameter of
*S _{U}*
by Rational Fractions,"

[41] Bowman, K. O., Shenton, L. R. and Lam, H. K (1980), "Moments of the Ratio
Mean Deviation/Standard Deviation under Normality--A New Look," *Rep.
Stat. Appl. Res., Union of Japanese Scientists and Engineers*, 27, 1-15.

[42] Patrinos, A. A. N. and Bowman, K. O. (1980), "Weather Modification from
Cooling Tower: A Test Based on the Distributional Properties of Rainfall,"
*Journal of Applied Meterology*, 19(3), 290-297.

[43] Bowman, K. O., Serbin, C. A. and Shenton, L. R. (1981), "Explicit
Approximate Solutions for *S _{B}*,"

[44] Bowman, K. O. and Shenton, L. R. (1981), "Explicit Accurate Approximations
for the Parameter of *L _{U}*,"

[45] Bowman, K. O. and Shenton, L. R. (1982), "Approximations to
Distributions," *Encyclopedia of Statistical Sciences*, Vol. 1, ed.,
Samuel Kotz and N. L. Johnson, John Wiley and Sons, Inc., 107-118.

[46] Bowman, K. O. and Shenton, L. R. (1982), "Properties of Estimators for the
Gamma Distribution," *Communications in Statistics B - Simulation and
Computation*, B11, 377-519.

[47] O'Neill, J. P. and Bowman, K. O. (1982), "Effect of Selection Cell Density
on the Recovery of Mutagen-Induced 6-Thioguanine-Resistant Cells,"
*Environ. Mutagenesis*, Vol. 4, 627-637.

[48] Shenton, L. R. and Bowman, K. O. (1982), "A Lagrange Expansion for the
Parameters of Johnson's *S _{U}*,"

[49] Bowman, K. O. and Shenton, L. R. (1983), "Johnson's Translation System,"
*Encyclopedia of Statistical Sciences*, Vol. 4, ed., Samuel Kotz and
N. L. Johnson, John Wiley and Sons, Inc., 303-314.

[50] Bowman, K. O. and Shenton, L. R. (1983), "Levin's Summation Algorithm,"
*Encyclopedia of Statistical Sciences*, Vol. 4, ed., Samuel Kotz and
N. L. Johnson, John Wiley and Sons, Inc., 611-617.

[51] Bowman, K. O. and Shenton, L. R. (1983),"Continued Fractions and the
Polygamma Functions," *Journal of Computational and Applied
Mathematics*, Vol. 9, 29-39.

[52] Bowman, K. O. and Shenton, L. R. (1983), "Maximum Likelihood
Estimators for the Gamma Distribution Revisited," *Communications in
Statistics, B*, 12(6), 697-710.

[53] Bowman, K. O. (1984), "Extended Moment Series and the Parameters of the
Negative Binomial Distribution," *Biometrics*, Vol. 40, 249-252.

[54] Bowman, K. O. (1984), "Computation of the Polygamma Functions,"
*Communications in Statistics, B*, 13(3), 409-415.

[55] Bowman, K. O., Lam, H. K. and Shenton, L. R. (1984), "Bounds for the
Expectation of the *k*th Trot of a Random Variable," *Journal of
Computational and Applied Mathematics*, Vol. 10, 229-244.

[56] Bowman, K.O., Lam, H. K. and Shenton, L. R. (1984), "Bounds for Certain
Integrals," *Journal of Computational and Applied Mathematics*, Vol.
10, 245-254.

[57] Bowman, K. O. Lam, H. K. and Shenton, L. R. (1984), "Bounds for Integrals
Using Segments," *Journal of Computational and Applied Mathematics*,
Vol. 11, 57-67.

[58] Bowman, K. O., Shenton, L. R. and Szekeres, G. (1984), "A Poisson Sum
up to the Mean and a Ramanujan Problem," *Journal of Statistical Computation
and Simulation*, 20, 167-172.

[59] Bowman, K. O. and Shenton, L. R. (1985), "Methods of Moments,"
*Encyclopedia of Statistical Sciences*, Vol. 5, ed., Samuel Kotz and
N. L. Johnson, John Wiley and Sons, Inc., 467-473.

[60] Bowman, K. O. and Shenton, L. R. (1985), "The Padé and sStiltjies
Transformation," *Encyclopedia of Statistical Sciences*, Vol. 6, eds.,
Samuel Kotz and N. L. Johnson, 550-553.

[61] Kastenbaum, M. A. and Bowman, K. O. (1985), "Optimal Sample Size
Requirement" *Encyclopedia of Statistical Sciences*, Vol. 6, ed.,
Samuel Kotz and N. L. Johnson, John Wiley and Sons, Inc., 445-449.

[62] Bowman, K. O., Shenton, L. R., and Bernard, C. R. (1985),
"Study of Age Dependent
Half-Life of Iodine in Man: A Reinforcement-Depletion Urn Model," *Bull.
Math. Biol.*, 47, 205-214.

[63] Bowman, K. O. and Shenton, L. R. (1985), "The Distribution of a Moment
Estimator for a Parameter of the Generalized Poisson Distribution,"
*Communications in Statistics*, 14(4), 867-893.

[64] Shenton, L. R. and Bowman, K. O. (1985), "Factorial Series Distribution and Urn Model: Pseudo Convolution Property," *Scandinavian Journal of
Statistics Theory and Applications*, 12(4), 293-299.

[65] Shenton, L. R. and Bowman, K. O. (1985), "The Continued Fraction for
ln GAMMA(*z*): A Stiltjies Conjecture," *Journal of Statistical
Computation and Simulation,* 23(1&2), 133-135.

[66] Bowman, K. O. and Shenton, L. R. (1986), "A Reinforcement-Depletion Urn
Model: A Contiguity Case," *Annals of the Institute of Statistical
Mathematics,* 38(2), 233-243.

[67] Bowman, K. O. and Shenton, L. R. (1986), "The Two-Color Urn Model:
Recursions for the Moments," *Commun. Statist. Computa.,* 15(3),
787-799.

[68] Bowman, K. O. and Shenton, L. R. (1986), "The Dark Side of
Asymptotics and Moment Series," *Sankhya A*, 48(2).
219-231.

[69] Bowman, K. O., Lam, H. K. and Shenton, L. R. (1986),
"Series for Student's Non-Central *t* under Exponential Sampling
with Comments due to H.\0P.\0Mulholland," *Commun. Statist.
Simula. Computa.*, 15(3), 697-708.

[70] Bowman, K. O. and Shenton, L. R. (1987), "Sums of Powers of Binomial
Coefficients," *Commun. Statist. Simula. Computa.*, 16, 1189-1207.

[71] Bowman, K. O., Shenton, L. R. and H. K. Lam (1987), "Simulation and
Estimation Problems Associated with the 3-Parameter Gamma Density",
*Commun. Statist. -Simula. Computa.*, 16, 1147-1188.

[72] Bowman, K. O. and Shenton, L. R. (1988), "Solutions to Johnson's *S _{B}* and

[73] Bowman, K. O. and Shenton, L. R. (1989), "*S _{B}* and

[74] Bowman, K. O. and Wallace, S. A. (1990), "Evaluation of
Special Nuclear Material Monitoring Instruments", *JNMM*,
XVIII, Number 2, 30-35.

[75] Bowman, K. O. and Shenton, L. R. (1990), "The Approximate Distribution of Four Moment Statistics from Type III Distribution", *Commun. Statist. Theory
& Methods*, 19(4), 1511-1579.

[76] Bowman, K. O. and Shenton, L. R. (1992), "Parameter Estimation for the Beta Distribution", *Journal of Statistical Computation and Simulation*,
43, 217-228.

[77] Bowman, K. O. and Shenton, L. R. (1992), "Some Exact Expressions for
Functions of Sample Moments", *The Annals of the ISM,*, 44(4), 781-798.

[78] Bowman, K. O, Hopp, T. H., Kacker, R. N. and Lundegard, R. J. (1991),
"Statistical Quality Control Technology in Japan", *Chance*, 4(3), 15-21.

[79] Bowman, K. O., Kastenbaum, M. A. and Shenton, L. R. (1992),
"The Negative Hypergeometric Distribution and Estimation by Moments",
*Commun. Statist. Simula-Computa.*. 21(2), 301-332.

[80] Bowman, K. O. and Kastenbaum, M. A. (1992),
"Overdispersion of Aggregated Genetics Data", *Mutation Research*,
272, 133-137.

[81] Nanstad, R.K., McCabe, D. E., Haggag, F. M., Bowman, K. O. and Downing,
D. J. (1992), "Statistical Analyses of Fracture Toughness Results for Two
Irradiated High-Copper Welds", *Standard Technical Publication 1125*,
American Society for Testing and Materials.

[82] Bowman, K. O., Miller, M. K. and Shenton, L. R. (1993),
"The use of moment estimators to determine the parameters of concentration
fluctuations in random area atom probe analyses",
*Applied Surface Science*, \f367, 424-428.

[83] Miller, M. K., Bowman, K. O., Cerezo, A. and Hyde, J. K. (1993),
"Comparison of models for deconvoluting the compositions of
coexisting phases", *Applied Surface Science*, \f367, 429-435.

[84] Bowman, K. O., Miller, M. K. and Shenton, L. R. (1994),
"The evaluation of moments methods for fitting multiparameter sinusoidal models", *Applied Surface Science*, 76/77, 403-408.

[85] Bowman, K. O. and Shenton, L. R. (1994),
Additional Bowman-Shenton Approximate Percentage Points for Pearson
Distributions Based on Pearson Type VI, *Commun. Statist. Simula-Computa.*,
23(3), 583-590.

[86] Bowman, K. O. and Shenton, L. R. (1995),
Contribution to the discussion on the paper by R. C. H. Cheng and L. Taylor
on "Non-regular Maximum Likelihood Problems" on 19 January, 1995,
*JRSS*, 57(1), 34-35.

[87] Bowman, K. O., Shenton, L. R. and Karlof, C. (1995),
Estimation Problems Associated with the Three Parameter Gamma Distribution,
*Commun. Statist. Theory Meth.*, 24(5), 1355-1376.

[88] Shenton, L. R. and Bowman, K. O. (1996),
Moment Solution to an Urn Model, *AISM*, 48(1), 169-184.

[89] Bowman, K. O., Kastenbaum, M. A. and Shenton, L. R. (1996),
Fitting Multi-Parameter Distributions to SCE Data,
*Mutation Research*, 358, 15-24.

[91] Shenton, L. R. and Bowman, K. O. (1997).
Replenishment-Depletion: Urn in Equilibrium,
* AISM*, 49(4), 749-760.

[92] Bowman, K. O. and Shenton, L. R. (1997).
The Cornish-Fisher Expansion for Estimating Percentage Points:
A Numerical Perspective, * Commun. Statist. Simula-Comuta*, 26(1),
355-373.

[93] Bowman, K. O. and Shenton, L. R. (1997).
The Gamma Distribution,
* Encyclopedia of Biostatistics*, John Wiley and Sons, New York.

[94] Bowman, K. O., Shenton, L. R. and Gailey, P.C, (1998).
Distribution of ratio of Gamma variate,
* Commun. Statist. Simula-Comuta*, 27(1), 1-19.

[95] Bowman, K.O., Eddings, W., Kastenbaum, M.A., and Shenton, L.R. (1998),
Sister chromatid exchange data and Gram-Charlier series, *Mutation Research*, 403, 159-169.

[96] Bowman, K.O. and Shenton, L. R. (1998).
Asymptotic Skewness and the Distribution of Maximum Likelihood Estimators,
* Commun. Statist. Theory and Method*, 27(11), 2743-2760.

[97] Bowman, K.O. and Shenton, L.R. (1999).
The Asymptotic Kurtosis for Maximum Likelihood Estimators,
* Commun. Statist. Theory and Method*, 28(11),2641-2654.

[98] Bowman, K.O. and Shenton, L.R. (1999).
The Asymptotic Moment Profile and Maximum Likelihood:
Applications to Gamma and Gamma Ratio Densities,
* Commun. Statist. Theory and Method*, 28(10), 2497-2508.

[99] Bowman, K.O. and Shenton, L.R. (2000).
Maximum Likelihood and the Weibull Distributions,
* Far East Journal of Theoretical Statistics*, 4(2), 391-422.

[100] Bowman, K.O. and Shenton, L.R. (2001).
Weibull Distributions when the Shape Parameter is Defined,
* Computational Statistics and Data Analysis *, 36, 299-310.

[100] Williams, P.T., Bowman, K.O., Bass, B.R., and Dickson, T.L. (2001).
Weibull Statistical Models of K(Ic)/K(Ia) Fracture Toughness
Databases for Pressure Vessel Steels with an Application to Presdutized
Thermal Shock Assessments of nuclear Reactor Pressure Vessels,
* International Journal of Pressure Vessels and Piping*,
78,165-178.

[101] Shenton, L.R. and Bowman, K.O. (2001).
The Geometric Distribution, Cumulants, Eulerian Numbers, and the Logarithmic
Function,
* Far East Journal of Theoretical Statistics *, 5(1).
113-142.

[102] Bowman, K.O. and Shenton, L.R. (2002).
Problems with Maximum Likelihood Estimations and the 3 Parameter Gamma
Distribution,
* J. Statistical Computation and Simulation *,
72(5),391-401.

[103] Shenton, L. R. and Bowman, K. O. (2002),
The Geometric distribution's Central Moments and Eulerian Numbers of the
Second Kind,
* Far East Journal of Theoretical Statistics*, 7(1), 1-17.

[104] Bowman, K. O. and Shenton, L. R. (2002),
Poisson Mixture of k Components,
* Far East Journal of Theoretical Statistics *, 7(2), 93-110.

[105] Bowman, K. O. and Shenton, L. R. (2003),
Sample size assessment and the two component Poisson mixture, proportion known,
* Far East Journal of Theoretical Statistics*, 9(2), 97-115.

[106] Bowman, K. O. and Shenton, L. R. (2003),
Canonical dichotomized alternant determinants and Poisson mixtures,
* Far East Journal of Theoretical Statistics *, 10(2),87-109.

[107] Bowman, K. O. and Shenton, L. R. (2004),
Mixtures, hybrid mixtures, canonical forms, and Matusita's distance,
* Far East Journal of Theoretical Statistics*, 12(1), 69-88.

[108] Bowman, K. O. and Shenton, L. R. (2004),
Poisson mixtures, asymptotic variance, and alternant determinants,
* Far East Journal of Theoretical Statistics*, 14(1), 79-87.

[109] Bowman, K. O. and Shenton, L.R, (2005),
The asymptotic variance and skewness of maximum likelihood estimators using
Maple,
* Journal of Statistical Computation and Simulation*, 75(12), 975-986.

[110] Shenton, L. R. and Bowman, K. O. (2005),
Roger's continued fractions: New properties,
* Far East Journal of Theoretical Statistics*, 18(1), 1-11.

[111] Shenton, L. R. and Bowman, K. O. (2005),
Polygamma functions, the zeta functions, and Euler numbers.
* Far East Journal of Applied Mathematics*, 18(3), 241-249.

[112] Shenton, L.R. and Bowman, K.O. (2005),
Second order continued fractions and Fibonacci numbers,
* Far East Journal of Applied Mathematics*, 20(1), 17-31.

[113] Bowman, K.O. and Shenton, L.R. (2005),
Bias, Variance, Skewness and Kurtosis of Maximum Likelihood Estimators
using Maple,
* Far East Journal of Theoretical Statistics*, 17(2), 137-195.

[114] Bowman, K.O. and Shenton, L.R. (2006),
Moments of Maximum Likelihood Estimators in the Discrete Case,
* Far East Journal of Theoretical Statistics*, 18(1), 61-91.

[115] Bowman, K.O. and Shenton, L.R. (2006),
Binomial and Poisson mixtures, maximum likelihood, and Maple code,
* Far East Journal of Theoretical Statistics*, 20(1), 73-95.

[116] Bowman, K.O. and Shenton, L.R. (2006),
Maximum likelihood estimators for normal and gamma mixtures,
* Far East Journal of Theoretical Statistics*, 20(2), 217-240.

[117] Bowman, K.O. and Shenton, L.R. (2007),
Skewness for maximum likelihood estimators for the negative binomial
distribution,
* Far East Journal of Theoretical Statistics*, 22(1), 103-129.

[118] Bowman, K.O. and Shenton, L.R. (2007),
Binomial test statistics using Psi functions,
* Far East Journal of Theoretical Statistics*, 23(1), 103-117.

[119] Bowman, K.O. and Shenton, L.R. (2007),
The beta distribution, moment method, Karl Pearson and R.A. Fisher,
* Far East Journal of Theoretical Statistics*, 23(2), 133-165.

[119] Bowman, K.O. and Shenton, L.R. (2007),
Mixture distributions and a test statistic,
* Far East Journal of Theoretical Statistics*, 23(2), 241-259.

[120] Shenton, L.R. and Bowman, K.O. (2008),
Montage for the gamma functions,
* Far East Journal of Applied Mathematics*, 32(1), 1-11.

[121] Shenton, L.R. and Bowman, K.O. (2008),
Zeros and Stieltjes continued fraction for $J(z)$,
* Far East Journal of Theoreticcal Statistics*, 26(1), 83-95.

[122] Shenton, L.R. and Bowman, K.O. (2009),
The derivative of a continued fraction,
* Far East Journal of Appled Mathematics*, 35(3), 363-371.

[123] Bowman, K.O. and Shenton, L.R. (2009),
The Pearson and Hansmann Manifolds for Statistical Distributions,
* Far East Journal of Theoreticcal Statistics*, 29(2), 157-173.

[124] Bowman, K.O. and Shenton, L.R. (2010),
Definite integrals, some involving residue theory, evaluated by the Maple code,
* Far East Journal of Theoretical Statistics *, 31(2), 107-116.

[125] Bowman, K.O. and Shenton, L.R. (2010),
A Fascinating series due to Stieltjes,
* Far East Journal of Applied Mathematics *, 43(1),57-63.

[126] Bowman, K.O. and Shenton, L.R. (2011),
A montage for the binomial distribution Stieltjes transform,
* Far East Journal of Theoretical Statistics *, 34(2),123-127.

[1] Bowman, K. O. (1977), "Japanese Government Statistical activities,"
*Scientific Bulletin ONR*, 2(3), 57-60.

[2] Bowman, K. O. (1977), "National Research Institute for Metals," *Scientific
Bulletin ONR*, 2(4) 64-65.

[3] Bowman, K. O. (1977), "Some Quality Control Activity in Japan," *Scientific
Bulletin ONR*, 2(3), 61-65.

[4] Bowman, K. O. (1977) "Statistics Research at Chiba University," *Scientific
Bulletin ONR*, 2(4), 67-68.

[5] Bowman, K. O. (1978), "Statistical Research in Japan," *Scientific
Bulletin ONR*, 3(1), 63-74.

[6] Bowman, K. O. (1985), "Progress Report on Japanese Computer Projects,"
*Scientific Bulletin,* 10(1), ONRFE/AFOSRFE, 91-110.

[7] Bowman, K. O. (1985), "The Laboratory for Gastrointerology at Gumma
University," *Scientific Bulletin,* 10(1), ONRFE/AFOSRFE, 111-112.

[8] Bowman, K. O. (1985), "Machine Translation Research at Kyoto University,"
*Scientific Bulletin,* 10(2), ONRFE/AFOSRFE, 1-3.

[9] Bowman, K. O. (1986), "Total Quality Control at the Kansai Electric Power
Company," *Scientific Bulletin,* 11(1), ONRFE/AFOSRFE,19-32.

[10] Bowman, K. O., Hopp, T. H., Kacker, R. N. and Lundegard, R. J. (1990),
"Statistical Quality Control technology in Japan", *Scientific Information
Bulletin*, 15(1), ONRFE/AFOSRFE/AROFE, 57-73.

[1] Bowman, K. O. and Shenton, L. R. (1969), "Remarks on Maximum Likelihood
Estimators for the Gamma Distribution," *Proc. ICQC*, Tokyo, 519-522.

[2] Bowman, K. O. and Shenton, L. R. (1971), "Remarks on the
Distribution of the Skewness Statistic sqrt(*b*_{1}) in
Sampling from Normal Type A Distributions," *Proc. of the 38th
Session of the Internat. Statist. Inst.*, Washington, DC, 57-
63.

[3] Bowman, K. O. and Shenton, L. R. (1971), "Remarks on the
Distribution of the Skewness Statistic sqrt(*b*_{1}) in
Sampling from Normal Type A Distributions," *Bull. Internat.
Statist. Inst. Proc. of the 38th Session, Vol. XLIV, Book 2*,
115-121.

[4] Bowman, K. O. and Shenton, L. R. (1973), "Remarks on the Distribution of Karl
Pearson's k-Statistic, *k* = 2*b*_{2} -
3*b*_{1} - 6," *Proc. of the 39th
Session of the Statist. Inst., Vol. 1*, Vienna, Austria, 134-142.

[5] Shenton, L. R. and Bowman, K. O. (1973), "Comments on the Gamma Distribution
and Uses in Rainfall Data," *Proc. of 3rd Conf. on Prob. and Stat. in
Atmospheric Science*, Boulder, CO, June 19-22.

[6] Shenton, L. R. and Bowman, K. O. (1973), "Comments on Higher Order Terms in
Moment of Moments, Moments of Maximum Likelihood Estimators, Regression
Residuals, *Proc. of Internat. Conf. on Asymptotic Methods of Stat. and
Their Appl. on Physical and Social Science*, IASPS.

[7] Shenton, L. R. and Bowman, K. O. (1974), "Comments on Higher Order Terms
in Moment of Moments, Moments of Maximum Likelihood Estimators, Regression
Residuals," *Proc. of the Prague Symposium on Asymptotic Statistics,
September 3-6, 1973., Vol. 2*, ed., Jaroslan Jajek, Charles University,
Prague, 323-344.

[8] Bowman, K. O. and Shenton, L. R. (1975), "Comments on the Distribution of
the Variance in Sampling from the Logistic Distribution," *Proc. of the
40th Session of ISI*, Warsaw.

[9] Bowman, K. O. and Shenton, L. R. (1975), "Remarks on the Distribution of
the Skewness and Kurtosis Statistics," *Proc. of the 1st ERDA Statist.
Symposium*, 104-124.

[10] Bowman, K. O. and Shenton, L. R. (1976), "Summing Asymptotic Series,"
*Proceedings of the American Statistical Association, Statistical
Computing Section*, 121-125.

[11] Bowman, K. O., Beauchamp, J. J. and Shenton, L. R. (1977), "Error Contours
for Student's t Under Non-Normality ," *Proceedings of the American
Statistical Association, Statistical Computing Section*, 133-137.

[12] Bowman, K. O., Lam, H. K. and Shenton, L. R. (1978), "Characteristics of
Moment Series for Student's t and Other Statistics in Non-Normal
Sampling," *Proceedings of the American Statistical Association,
Statistical Computing Section*, 206-211.

[13] Bowman, K. O. and Shenton, L. R. (1978), "Coefficient of Variation on
Sampling from a Gamma Universe," *Proceedings of the International
Conference on Quality Control, 1978-Tokyo*, D1-19--D1-24.

[14] Shenton, L. R., Bowman, K. O. and Lam, H. K. (1979), "Problems Associated
with Approximating Distributions," *Proceedings of the American
Statistical Association, Statistical Computing Section*, invited paper,
20-29.

[15] Lam, H. K., Bowman, K. O. and Shenton, L. R. (1980), "Remarks on the
Generalized Tukey's Lambda Family of Distribution," *Proceedings of the
American Statistical Association, Statistical Computing Section*,
Washington, DC, 134-139.

[16] Bowman, K. O. and Shenton, L. R. (1981), "Moment Series for the
Coefficient of Variation in Weibull Sampling," *Proceedings of the
American Statistical Association, Statistical Computing Section*,
Washington, DC, 148-153.

[17] Lam, H. K., Bowman, K. O. and Shenton, L. R. (1981), "The Transformed Beta
Distribution and Its Application in Distribution Fitting," *Proceedings
of the American Statistical Association, Statistical Computing Section*,
Washington, DC, 111-116.

[18] Bowman, K. O. and Shenton, L. R. (1983), "Moment Series for Moment
Estimators of the Parameters of a Weibull Density," *Proceedings of
Computer Science and Statistics: 14th Symposium on the Interface*,
Springer-Verlag, New York, 174-186.

[19] Bowman, K. O. and Mark T. Robinson (1987), Studies of Random
Number Generators for Parallel Processing,
*Hypercube Multiprocessor 1987*,
ed by M. T. Heath, SIAM, 45-453.

[20] Lam, H. K., Shenton, L. R. and Bowman, K. O. (1988), Some Properties of a Moment
Estimator for the Index Parameter of the Negative Binomial Distribution,
*Proceedings of the American Statistical Association, Statistical Computing
Section*, Washington, DC.

[1] Bowman, K. O., Hutcheson, K., Odum, E. P. and Shenton, L. R.
(1971), "Comments on the Distribution of Indices or Diversity,"
*Statist. Ecol., Vol. 3: Many Species Populations, Ecosystems,
and Systems Anal.*, ed., G. P. Patil, E. C. Pielow and W. E.
Waters, Pennsylvania State University Press, 315-366.

[2] Bowman, K. O. and Dusenberry, W. E. (1975), "Transformation of the Pearson
System with Special Reference to Type IV," *A Modern Course on
Statistical Distributions on Scientific Work, Vol.\01:\0\0Models and
Structures*, ed., G. P. Patil, S. Kotz and J. K. Ord, Reidel Publishing
Co., 381-390.

[3] Bowman, K. O. and Kastenbaum, M. A. (1975), "Sample Size Requirement: Single
and Double Classification Experiments, Selected Tables in Mathematical
Statistics," *American Mathematical Society and Institute of
Mathematical Statistics*, ed., D. B. Owen and H. L. Harter, 111-232.

[4] Shenton, L. R. and Bowman, K. O. (1977), *Maximum Likelihood Estimation
in Small Samples*, England: Charles Griffin and Co., Ltd.

[5] Bowman, K. O. and Shenton, L. R. (1986), "Moment (sqrt(*b*_{1}), *b*_{2}) Techniques," *Handbook of Goodness of Fit Techniques*,
ed., R.B. D'Agostino and M. Stephens, Marcel Dekker, Inc., 277-327.

[6] Bowman, K. O. and Robinson, M. T. (1987), "Studies of Random Number
Generators for Parallel Processing", *Hypercube Multiprocessors 1987*,
M. T. Head (ed), SIAM., 445-453.

[7] Bowman, K. O. and Shenton, L. R. (1987), "Power Transformation of the Sample Kurtosis", *Proceedings of the 46th Session of the International
Statistical Institute*.

[8] Bowman, K. O. (1987), "Statistical Inference - Computer Algorithmic
Approach", *Proceedings of the First IASC World Conference on
Computational Statistics and Data Analysis*.

[9] Bowman, K. O. and Shenton, L. R. (1988), *Properties of
Estimators for the Gamma Distribution,* Marcel Dekker, Inc.

[10] Bowman, K. O. and Shenton, L. R. (1989), *Continued Fractions
in Statistical Applications*, Marcel Dekker, Inc.

[11] Bowman, K. O. (1998). "Statistics and My Life",
* She does Statistics*, edted by Martha Aliaga, Mathematical
Association of America.