In Memoriam of Dr. Paul I. Nelson

Paul NelsonDr. Paul Nelson passed away on December 9, 2021. Here is his obituary (

There will be a service and reception in honor of Dr. Paul Nelson and his wife Dr. Bonnie Nelson.

Bonnie Nelson passed away in 2019. To read about Dr. Bonnie Nelson please see:

In Memoriam: A Celebration of Paul and Bonnie Nelson

Date: Saturday, June 11

Time: 3:00pm

Location: Hilton Garden Inn, Manhattan, KS

Please RSVP by May 27 to Amanda Nelson:

*Following the service and reception at the Hilton Garden Inn, guests are invited to Welcome Cemetery where Paul and Bonnie are buried.

Paul Nelson was Professor of Statistics at Kansas State University. Paul retired in 2015 and was recognized for 32 years of dedicated service to the Department of Statistics. Paul earned a Bachelor of Science degree in Mathematics from Queen’s College, City of New York in 1963, a Master of Science degree in Mathematics from Rutgers University in 1965, a Master of Science degree in Statistics from Rutgers University in 1966, and a PhD in Statistics from Rutgers University in 1969. He served as an Assistant Professor at Rutgers University in the Department of Statistics from 1969-1971, followed by appointments as Assistant and Associate Professor at Bucknell University in the Department of Mathematics from 1971-1976 and 1979-1981, with Visiting Associate Professor appointments at The Pennsylvania State University in the Department of Statistics during 1977-1979 and 1981-1983. He joined the faculty in the Department of Statistics at Kansas State University in 1983 and was promoted to Full Professor in 1989.

Paul was an established researcher with a national and international reputation having contributed fundamental work in the area of estimation for stochastic processes. In particular, his research in quasi-likelihood estimation for semimartingales provided a framework for optimal parameter estimation for general processes, widely known as the Hutton-Nelson solution. In addition, he was known for his research on prediction of order statistics and nonparametric testing procedures, including those based on biased-size sampling and precedence probabilities. Paul’s competence as a strong researcher naturally led editors of many prominent journals of the discipline to seek his careful review of research manuscripts. Finally, Paul collaborated with researchers across campus, always with a critical approach to applied research through novel applications of his mathematical and statistical expertise.

His contributions as a teacher and researcher within the department were considerable as well. Known as an excellent and innovative teacher, Paul taught a wide variety of undergraduate and graduate level classes, including core courses in stochastic processes, multivariate analysis, sampling techniques and survival analysis. Notably, while at K-State, Paul served as major professor for nine PhD and thirty-eight MS students in Statistics, along with providing service as a committee member for many graduate students within and outside the department. He also provided continuous and consistent service on many departmental committees, including those which advanced the academic growth of the department through extensive curriculum improvement.

His colleagues in the department and across campus provided this citation to Paul in appreciation for his many accomplishments and his dedicated service to the Department of Statistics and Kansas State University.


Ling, Y., and P. I. Nelson. (2014) "Effect size for comparing two or more normal distributions based on maximal contrasts in outcomes." Statistical Methods and Applications 23(3): 381-399.

Hua, J. J., and P. I. Nelson. (2013) "A comparison of the performance of four confidence intervals for population size based on a capture–recapture design." Proceedings of Joint Statistical Meetings: 2448-2456.

Ling, Y., and P. I. Nelson. (2013) "Consistency of p-values obtained by averaging over nuisance parameters." Communications in Statistics-Theory and Methods 42(5): 852-866.

Liu, Y., P. I. Nelson, and S. S. Yang. (2012) "An omnibus lack of fit test in logistic regression with sparse data." Statistical Methods and Applications 21(4): 437-452.

Kang, Q., P. I. Nelson, and C. I. Vahl. (2010) "Parameter estimation from an outcome-dependent enriched sample using weighted likelihood method." Statistica Sinica: 1529-1550.

Kang, Q., and P. I. Nelson. (2009) "Permutation tests from biased samples for the equality of two distributions." Journal of Nonparametric Statistics 21(3): 305-319.

Kang, Q., and P. I. Nelson. (2008) “Nonparametric tests for the median from a size-biased sample.” Journal of Nonparametric Statistics 20(1): 19-37.

Nelson, P. I., and K. E. Kemp. (2003) “Testing for the Presence of a Maverick Judge.” Communications in Statistics-Theory and Methods 32(4): 807-826.

Xie, R. R., and P. I. Nelson. (2003) "Separation among distributions related by linear regression." The American Statistician 57(1): 33-36.

El Barmi, H., and P. I. Nelson. (2002) "A note on estimating a non-increasing density in the presence of selection bias." Journal of Statistical Planning and Inference 107(1): 353-364.

Fedde, M. R., P. I. Nelson, and W. D. Kuhlmann. (2002) "Ventilatory sensitivity to changes in inspired and arterial carbon dioxide partial pressures in the chicken." Poultry Science 81(6): 869-876.

Nelson, P.I., and K. E. Kemp. (2000) “Small sample set estimation of a baseline ranking.” Communication in Statistics- Theory and Methods 29(1): 19-43.

Kaminsky, K. S., and P. I. Nelson. (1998) "Prediction of order statistics." Handbook of statistics 17: 431-450.

Kemp, K. E., Yang, S. S., Perng, S. K., and P. I. Nelson. (1998) "An asymptotically distribution free test for assessing the separation between two distributions." Journal of Nonparametric Statistics 2(3): 235-248.

El Barmi, H., and P. I. Nelson. (1997) "Inference from stable distributions." Institute of Mathematical Statistics Lecture Notes - Monograph Series 1997: 439-456.

Nelson, P. I. (1997) "The New Statistical Analysis of Data." Journal of the American Statistical Association 92(438): 795.

Ogunyemi, O. T., and P. I. Nelson. (1997) "Prediction of gamma failure times." IEEE transactions on reliability 46(3): 400-405.

Ogunyemi, O. T., and P. I. Nelson. (1996) "Exact and adaptive prediction intervals for order statistics." Communications in Statistics-Simulation and Computation 25(4): 1057-1074.

Ogunyemi, O. T., Hutton, J. E., and P. I. Nelson. (1993). “Approximate Bayes estimators for stochastic processes.” Journal of Statistical Computation and Simulation 45(3-4): 219-231.

Hutton, J. E., Ogunyemi, O. T., and P. I. Nelson. (1991) "Simplified and twostage-quasi-likelihood estimators." Estimating Functions, Oxford Science Publications, Oxford: 169-187.

Perng, S. K., Kemp, K. E., and P. I. Nelson (1989). “Testing for a separation between two normal distributions.” Communications in Statistics-Theory and Methods 18(5): 1895-1912.

Nelson, P. I., and S. S. Yang. (1988) "Some properties of Kendall's partial rank correlation coefficient." Statistics & Probability Letters 6(3): 147-150.

Hutton, J. E., and P. I. Nelson. (1986) "Quasi-likelihood estimation for semimartingales." Stochastic Processes and their Applications 22(2): 245-257.

Isobe, T., Feigelson, E. D., and P. I. Nelson. (1986) "Statistical methods for astronomical data with upper limits. II-Correlation and regression." The Astrophysical Journal 306: 490-507.

Feigelson, E. D., and P. I. Nelson. (1985) "Statistical methods for astronomical data with upper limits. I-Univariate distributions." The Astrophysical Journal 293: 192-206.

Hutton, J. E., and P. I. Nelson. (1984) "Interchanging the order of differentiation and stochastic integration." Stochastic Processes and their Applications 18(2): 371-377.

Kaminsky, K. S., Luks, E. M., and P. I. Nelson. (1984) "Strategy, nontransitive dominance and the exponential distribution." Australian Journal of Statistics 26(2): 111-118.

Nelson, P. I. (1980) "A note on strong consistency of least squares estimators in regression models with martingale difference errors." The Annals of Statistics 8(5): 1057-1064.

Klimko, L. A., and P. I. Nelson. (1978) "On conditional least squares estimation for stochastic processes." The Annals of Statistics 6(3): 629-642.

Kaminsky, K. S., and P. I. Nelson. (1975) "Best linear unbiased prediction of order statistics in location and scale families." Journal of the American Statistical Association 70(349): 145-150.

Kaminsky, K. S., and P. I. Nelson. (1975) "Characterization of distributions by the form of predictors of order statistics." A Modern Course on Statistical Distributions in Scientific Work. Springer, Dordrecht, 113-115.

Kaminsky, K. S., Mann, N. R., and P. I. Nelson. (1975) "Best and simplified linear invariant prediction of order statistics in location and scale families." Biometrika 62(2): 525-527.

Kaminsky, K. S., and P. I. Nelson. (1974) "Prediction intervals for the exponential distribution using subsets of the data." Technometrics 16(1): 57-59.

Nelson, P. I. (1970) "A class of orthogonal series related to martingales." The Annals of Mathematical Statistics 41(5): 1684-1694.

Students advised by Dr. Paul Nelson

Ph.D. Graduates

Dissertation Title


Xie, Lin

Statistical Inference For Rankings in the Presence of Panel Segmentation


Dey, Rajarshi

Inference For the K-Sample Problem Based on Precedence Probabilities


Ling, Yan

Inference for the Intrinsic Separation Among Distributions Which May Differ in Location and Scale


Kang, Qing

Nonparametric Tests for a Size-Biased Sample


Zhang, Ying

Parameter Estimation in Continuous and Discrete Time Queues Using Queue Length and Waiting Time Data


Perera, Subashan

Autoregressive Time Series Models with Exponential Marginal Distributions


McCarter, Kevin

Estimation and Prediction for the Birnbaum-saunders Distribution Using Type-ii Censored Samples, with a Comparison to the Inverse Gaussian Distribution


Curriero, Frank C.

The Use of Non-euclidean Distances in Geostatistics


Ogunyemi, Theophilus Olabode

Simplified, Two-stage Estimators and a Bayes Type Modification of Maximum Quasi-likelihood Estimators


M.S. Graduates

Dissertation Title


Jiao, Yuanfang

A Simulation Comparison of two Methods for Controlling the Experiment-wise Type 1 Error Rate of Correlated tests for Contrasts in One-way Completely Randomized Designs


Cao, Yueping (Jennifer)

The Performance and Robustness of Confidence Intervals for the Median of a Symmetric Distribution Constucted Assuming Sampling from a Cauchy Distribution


Fei, Mingwei

A Study of the Robustness of Cox's Proportional Hazards Model Used in Testing for Covariate Effects


Hembree, David

The Robustness of Normal Theory Confidence Intervals for Effect Size


Li, Xin

A Simulation Evaluation of Backward Elimination and Stepwise Variable Selection in Regression Analysis


Makarova, Natalya

A Simulation Study of the Robustness of Prediction Intervals for an Independent Observation Obtained from a Random Sample from an Assumed Location-Scale Family of Distributions


Hua, Jianjun

Confidence Intervals for Population Size Based on a Capture-Recapture Design


Devamitta-Perera, Muditha

Robustness Of Normal Theory Inference When Random Effects Are Not Normally Distributed


Serasinghe, Kumary

A Simulation Comparison of Parametric and Nonparametric Estimators of Quantiles from Right Censored Data


Paranagama, Thilanka

A Simulation Study of the Robustness of the Least Median of Squares Estimator of Slope in a Regression Through the Origin Model


Gayle, Suelen

A Simulation Study of the Size and Power of Cochran's Q VERSUS the standard chi-square test for Testing the Equality of Correlated Proportions


Wu, Yun

A Simulation Study of the Robustness of Hotelling's T2 Test for the Mean of a Multivariate Distribution When Sampling from a Multivariate Skew-Normal Distribution


Yang, Celeste

A Study of the Calibration-Inverse Prediction Problem in a Mixed Model Setting


Yankovskyy, Yevhen

Application of a Gibbs Sampler to Estimating Parameters of a Hierarchical Normal Model with a Time Trend and Testing for Existence of the Global Warming


Shrestha, Smriti

A Study of the Consequences of Ignoring Measurement Error on Inference for the Slope of a Linear Regression Model


Wang, Yunxun

Simulation Study of Tests for Common Correlation Coefficient of Bivariate Normal Distributions


Bi, Lieqi

A Class of Robust Tests for the Center of a Symmetric Distribution


Ling, Yan

Estimating a Mean Using the Closest Two Out of Three Measurements


Feng, Xiujuan

Comparing Three Methods of Testing for Independence


Sun, Xin

Effects of Nonnormality on Confidence Intervals for the Intra Class Correlation Coefficient in One Way Random Effect Models


Xie, Yali

Confidence Interval for a Small Binomial Proportion


Kang, Qing

Expected Significance Levels and P-Values


Xie, Rongrong

Testing for Separation among Normal Distributions Whose Means Are a Linear Function of a Predictor Variable


Zhou, Xia

A Comparison of Asympotically Normal Test Statistics Based on Estimated and Hypothesized Variance Functions


Chai, Juan

A Simulation Comparison of Least Squares and Maximum Likelihood Estimation for a Linear Regression Model When the Response Is Subject to Right Censorship


Xiao, Bohong

The Linear Calibration Problem


Zhang, Ying

Exam Option.


Cai, Yaping

A Simulation Study of Tests of Randomness with Application to Meteorology


Xiang, Hua (Helen)

A Simulation Study of the Robustness of the One Sample T-test with Respect to Heterogeneity of Scale


Perera, Subashan

Estimating the Correlation Coefficient in the Presence of Homogeneous Censoring


Cao, Guoxiang

Estimating Functions on Chaotic Dynamical Systems


Hsu, Ling-Ling

A Simulation Study of Two Hypothesis Testing Problems for Markov Chains


Hu, Yunqin

Bootstrap Tests for Equality of Scale Parameters for Nonnormal Distributions


Shult, Jiang T.

A Comparison of Prediction Intervals for an Independent Future Observation


Cheng, Hui-Jung

Statistics and the Law


Peng, Xiaojun

Comparing Three Methods of Estimating Pr(x>y)


Lu, Biao

Analysis of Repeated Measures with Gibbs Sampler