Tapan K. Nayak
Department of Statistics
Phone: (202) 994-6549
Fax: (202) 994-6917
(Honors in Statistics),
M. Stat., Indian Statistical
Ph.D. Dissertation, written under the supervision of Professor C. R. Rao, entitled, “Applications of Entropy Functions in Measurement and Analysis of Diversity.”
Awards and Honors:
Fellow of the American Statistical Association, 2006. (Citation: “For innovative contributions to statistical theory and methodology in diversity analysis, inference and prediction, Pitman Measures of Closeness, reliability, and sampling; for mentoring; and for service to the profession.”)
Recipient of ASA/USDA-NASS Senior Research Fellowship, July 1997 - August 1998.
Elected member of the International Statistical Institute, 1996.
Recipient of Mellon Predoctoral
Secured top position in B.Sc. (Honors in
Recipient of Merit Scholarship, Govt. of
Ranked First in
Higher School Certificate Examination, Visva-Bharati,
Recipient of National Scholarship, Govt.
Department of Statistics,
Chairman, Department of Statistics,
Associate Professor, June 1989 - August 1997; Assistant Professor, June 1984 - May 1989; Visiting Assistant Professor, Sept. 1983 - May 1984, Department of Statistics, George Washington University, Washington, DC 20052.
ASA/USDA-NASS Senior Research Fellow, National Agricultural Statistics Service, Research Division, 3251 Old Lee Highway, Fairfax, VA 22030, July 1997 - August 1998.
Scientist, Division of Theoretical Statistics and Mathematics, Indian
Teaching/Research Assistant, Mathematics
and Statistics Department,
T.K. Nayak. On Diversity Measures Based on Entropy Functions. Commun. Statist.- Theory Meth. (1985), 14(1), 203-215.
C.R. Rao and T.K. Nayak. Cross Entropy, Dissimilarity Measures and Characterizations of Quadratic Entropy. IEEE Transactions on Information Theory, (1985), IT-31, 589-593.
T.K. Nayak. Sampling Distributions in Analysis of Diversity. Sankhya, (1986), B 48, 1-9.
J.L. Gastwirth, T.K. Nayak and A.M. Krieger. Large Sample Theory for the Bounds on the Gini and Related Indices of Inequality Estimated from Grouped Data. Journal of Business & Economic Statistics, (1986), 4, 269-273.
T.K. Nayak. Software Reliability: Statistical Modeling & Estimation. IEEE Transactions on Reliability, (1986), R-35, 566-570.
T.K. Nayak. An Analysis of Diversity Using Rao's Quadratic Entropy. Sankhya, (1986), B 48, 315-330.
T.K. Nayak. Multivariate Lomax Distribution: Properties and Usefulness in Reliability Theory. Journal of Applied Probability, (1987), 24, 170-177.
T.K. Nayak. Estimating Population Size by Recapture Sampling. Biometrika, (1988), 75, 113-120.
T.K. Nayak. Testing Equality of Conditionally Independent Exponential Distributions. Commun. Statist.- Theory Meth. (1988), 17(3), 807-820.
T.K. Nayak. A Note on Estimating the Number of Errors in a System by Recapture Sampling. Statistics & Probability Letters, (1989), 7, 191-194.
T.K. Nayak, and D.N. Naik. Estimating Multinomial Cell Probabilities Under Quadratic Loss. The Statistician, (1989), 38, 3-10.
T.K. Nayak. Minimum Variance Unbiased Estimation of Software Reliability. Probability in the Engineering and Informational Sciences, (1989), 3, 335-340.
J.L. Gastwirth, T.K. Nayak and J.L. Wang. Statistical Properties of Measures of Between Group Income Differentials. Journal of Econometrics, (1989), 42, 5-19.
T.K. Nayak and J.L. Gastwirth. The Use of Diversity Analysis to Assess the Relative Influence of Factors Affecting the Income Distribution. Journal of Business & Economic Statistics, (1989), 7, 453-460.
T.K. Nayak. Estimation of Location and Scale Parameters Using Generalized Pitman Nearness Criterion. Journal of Statistical Planning and Inference, (1990), 24, 259-268.
T.K. Nayak. Estimating the Number of Component Processes of a Superimposed Process. Biometrika, (1991), 78, 75-81.
P.K. Sen, T.K. Nayak and R. Khattree. Comparison of Estimators of a Dispersion Matrix Under Generalized Pitman Nearness Criterion. Commun. Statist.- Theory Meth. (1991), 20(11), 3473-3486.
T.K. Nayak. Comments on “Bayesian Pitman Closeness” by Ghosh, M. and Sen, P.K. Commun. Statist.- Theory Meth. (1991), 20(11), 3679-3684.
T.K. Nayak and R.S. Harikar. On Estimating the Number of Errors in Computer Software. Sankhya, (1991), B 53, 275-287.
T.K. Nayak. On Statistical Analysis of a Sample from a Population of Unknown Species. Journal of Statistical Planning and Inference, (1992), 31, 187-198.
T.K. Nayak and M.C. Christman. Effect of Unequal Catchability on Estimates of the Number of Classes in a Population. Scandinavian Journal of Statistics, (1992), 19, 281-287.
T.K. Nayak. On Estimating the Total Rate of the Unobserved Processes. Statistics & Probability Letters, (1993), 17, 351-354.
M.C. Christman and T.K. Nayak. Sequential Unbiased Estimation of the Number of Classes in a Population. Statistica Sinica, (1994), 4, 335-352.
J.L. Gastwirth and T.K. Nayak. Statistical Measures of Racially Identified School Systems. Jurimetrics Journal, (1994), 34, 173-192.
T.K. Nayak. Pitman Nearness Comparison of Some Estimators of Population Variance. American Statistician, (1994), 48, 99-102.
T.K. Nayak. On Randomized Response Surveys for Estimating a Proportion. Commun. Statist.- Theory Meth. (1994), 23(11), 3303-3321.
T.K. Nayak. Estimating the Parameter of a Selected Population.
A. Dewanji, T.K. Nayak and P.K. Sen. Estimating the Number of Components of a System of Superimposed Renewal Processes. Sankhya, Ser. A, (1995), 57, 486-499.
T.K. Nayak. On Estimating the Conditional Probability of Discovering a New Species. Commun. Statist.- Theory Meth. (1996), 25(9), 2039-2056.
T.K. Nayak and J.L. Gastwirth. The Peters-Belson Approach to Measures of Economic and Legal Discrimination. In Advances in the Theory and Practice of Statistics: A Volume in Honor of Samuel Kotz, eds. Norman L. Johnson, and N. Balakrishnan, New York: John Wiley, (1997), pp. 587-601.
J.L. Gastwirth and T.K. Nayak. Statistical Aspects of Cases Concerning Racial Discrimination in
Drug Sentencing: Stephens v. State and
T.K. Nayak. On Equivariant Estimation of the Location of Elliptical Distributions Under Pitman Closeness Criterion. Statistics & Probability Letters, (1998), 36, 373-378.
T.K. Nayak. Statistical Approaches to Modeling and Estimating Software Reliability. In Frontiers in Reliability, eds. Asit P. Basu, Sujit K. Basu, and Shyamaprasad Mukhopadhyay, London: World Scientific, (1998), pp. 271-281.
J.L. Gastwirth and T.K. Nayak. Comments on “Tests of Significance for Lorenz
Partial Orders” by J.A. Bishop and J.P. Formby. In Handbook on Income
Inequality Measurement, ed. Jacques Silber,
T.K. Nayak. On Best Unbiased Prediction and Its Relationships to Unbiased Estimation. Journal of Statistical Planning and Inference, (2000), 84, 171-189.
T.K. Nayak and S. Kundu. Calculating and Describing Uncertainty Propagation in Risk Assessment: The Bayesian Approach. Human and Ecological Risk Assessment, (2001), 7(2), 307-328.
J.L. Gastwirth and T.K. Nayak. Law and Environmental Statistics. In Encyclopedia of Environmetrics, Vol. 2, ed. Abdel H. El-Shaarawi and Walter W. Piegorsch, New York: Wiley, (2002), pp. 1142-1146.
T.K. Nayak and S. Kundu. Some Remarks on
Generalizations of the Likelihood Function and the Likelihood Principle.
In Advances on Theoretical and Methodological Aspects of Probability and
T.K. Nayak. Rao-Cramer Type Inequalities for Mean Squared Error of Prediction. American Statistician, (2002), 56(2), 102-106.
Nayak and J.L. Gastwirth. Estimation of
T.K. Nayak. Finding Optimal Estimators in Survey Sampling Using Unbiased Estimators of Zero. Journal of Statistical Planning and Inference, (2003), 114, 21-30.
A. El-Baz and T.K. Nayak. Efficiency of Composite Sampling for Estimating a Lognormal Distribution. Environmental and Ecological Statistics, (2004), 11, 283-294.
T.K. Nayak and A. El-Baz. On Bayesian and Decision Theoretic Approaches to Statistical
Prediction. In Advances in Distribution Theory, Order Statistics, and
N. Balakrishnan, E. Castillo, and J.M. Sarabia,
T.K. Nayak and S. Kundu. Comparison of Stopping Rules in Sequential Estimation of the Number of Classes in a Population. Sequential Analysis (2007), 26, 367-381.
S. Kundu., T.K. Nayak and S. Bose. Are Nonhomogeneous Poisson Process Models Preferable to General Order Statistics Models for Software Reliability Estimation? In Statistical Models and Methods in Biomedical and Technical Systems ed. F. Vonta, M.S. Nikulin, N. Limnios, and C. Huber-Carol, (2007), pp.139-155.
M. Qin and T.K. Nayak. Kshirsagar Type Lower Bounds for Mean Squared Error of Prediction. Commun. Statist.- Theory Meth. (to appear).
T.K. Nayak, S. Bose and S. Kundu. On Inconsistency of Estimators of Parameters of Non-homogeneous Poisson Process Models for Software Reliability. Statistics & Probability Letters, (to appear).
Review of Statistical Significance: Rationale, Validity and Utility by Siu L. Chow. Technometrics, (1998), 40, 161-162.
Review of Theory of Point Estimation (2nd ed.) by E.L. Lehmann and George Casella. Journal of Statistical Planning and Inference, (2001), 93, 323-324.
Ph. D. Students Supervised:
Mary C. Christman. Thesis: “On Estimation of the Number of Classes in a Population” (1993).
Christopher L. Moriarity. (co-advisor). Thesis: “Statistical Properties of Statistical Matching” (2001).
Abeer El-Baz. Thesis: “Some Contributions to Statistical Prediction Theory” (2004).
Member, ASA Committee on Privacy and Confidentiality in Statistics, 2006-2008.
Associate Editor, Communications in Statistics - Theory and Methods, 2002-present.
Associate Editor, Communications in Statistics - Simulation and Computation, 2002-present.
Guest Editor of Sankhya, Ser. A, Vol. 64(2), (2002); a special issue in honor of Professor C.R. Rao.
Reviewer, Mathematical Reviews, 1995 - 2005.
Member, Review Panel for evaluating research grant proposals submitted to Bureau of Transportation Statistics (2001).
Organizing Committee member of the
international conference “Statistics: Reflections on the Past, Visions for the
Future” (in honor of Professor C.R. Rao's 80th
birthday) held in
Methodology Program Chair,
Methodology Section Chair,
Treasurer, International Indian Statistical Association, 1997-1999.