Tapan K. Nayak

Department of Statistics

Phone: (202) 994-6549

Fax: (202) 994-6917

e-mail: tapan@gwu.edu

**Educational
Record:**

B.Sc. (Honors in
Statistics),

M. Stat., Indian Statistical
Institute,

Ph.D.,

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 Fellowship,

Secured
top position in B.Sc. (Honors in Statistics),

Recipient
of Merit Scholarship, Govt. of

Ranked
First in Higher School Certificate Examination, Visva-Bharati,

Recipient
of National Scholarship, Govt. of

**Professional
Record:**

Professor,
Department of Statistics,

Professor
and 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.

Research
Mathematical Statistician, Statistical Research Division,

ASA/USDA-NASS
Senior Research Fellow, National Agricultural Statistics Service, Research
Division, 3251 Old Lee Highway, Fairfax, VA 22030, July 1997 - August 1998.

Visiting
Scientist, Division of Theoretical Statistics and Mathematics, Indian
Statistical Institute,

Teaching/Research
Assistant, Mathematics and Statistics Department,

Lecturer,

**Research
Publications:**

**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. *Calcutta** Statist.** Assoc. Bulletin*, (1995), 45, 93-101.

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 *U.S.**
v. Armstrong*. *J. Criminal Law and Criminology*, (1997), 87(2),
583-603.

**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
Statistics*, ed.
N.

**T.K. Nayak**. Rao-Cramer Type
Inequalities for Mean Squared Error of Prediction. *American
Statistician*, (2002), 56(2), 102-106.

R. Modarres, **T.K. Nayak**
and J.L. Gastwirth. Estimation of *Computational Statist.**
and Data Analysis*, (2002), 39, 529-554.

**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 Inference*, ed. 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.

M. Qin and
**T.K. Nayak**. Kshirsagar-Type Lower Bounds for
Mean Squared Error of Prediction. *Commun**.** Statist.- Theory Meth*.
(2008), 37, 861-872.

**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* (2008), 78, 2217-2221.

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 for Biomedical and
Technical Systems,* ed. F. Vonta, M.S. Nikulin, N. Limnios and C.
Huber-Carol, Boston: Birkhauser, (2008), pp.137-152.

**T.K. Nayak.** Reflections on Data
Perturbation and Post-randomization for Statistical Disclosure Control. *Journal
of Statistics and Applications* (2008), 3, 303-313.

**T.K. ****Nayak****.** Impact of Karl
Pearson's Work on Statistical Developments in *International
Statistical Review.* (2009), 77 (1), 72-80.

**T.
K. Nayak** and S. A. Adeshiyan. A Unified
Framework for Analysis and Comparison of Randomized Response Surveys of Binary
Characteristics. *Journal of Statistical Planning and Inference*,
(2009), 139, 2757-2766.

**T. K. Nayak** and M.Qin. The Concept of
Risk Unbiasedness in Statistical Prediction. *Journal of Statistical
Planning and Inference*, (2010), 140, 1923-1938.

**T. K. Nayak**, B. Sinha and L. Zayatz. Statistical Properties of Multiplicative Noise
Masking for Confidentiality Protection. *Journal of Official
Statistics, *(2011), 27 (3), 527-544.

B. Sinha, **T.
K. Nayak** and L. Zayatz.
Privacy Protection and Quantile Estimation from Noise Multiplied Data. *Sankhya**, *Ser. B, (2011), 73, 297-315.

H. Zhou and **T. K. Nayak**. Pitman Closest Equivariant Estimators and Predictors under Location-Scale
Models. *Journal of Statistical Planning and Inference*, (2012),
142, 1367-1377.

**T. K. Nayak** and B. Sinha. Some Aspects of
Minimum Variance Unbiased Estimation in Presence of Ancillary Statistics.
*Statistics & Probability Letters*, (2012), 82, 1129-1135.

A. Dewanji, S. Kundu and **T. K. Nayak**.
Nonparametric Estimation of the Number of Components of a
Superposition of Renewal Processes. *Journal of Statistical Planning
and Inference*, (2012), 142, 2710-2718.

H. Zhou and **T. K. Nayak**. A Note on
Existence and Construction of Invariant Loss Functions. *Statistics *(to appear).

**T. K. Nayak** and B. Sinha. An Appreciation
of Balanced Loss Functions via Regret Loss. *Commun**.**
Statist.- Theory Meth*. (to
appear).

H. Zhou and **T. K. Nayak**. On The Equivariance Criterion in Statistical Prediction. Annals of the Institute of Statistical Mathematics (to appear).

**Book
Reviews: **

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).

Min Qin.
Thesis: “Some Contributions to the Theory of Unbiased Statistical Prediction”
(2009).

Samson A. Adeshiyan. Thesis: “Unification of Randomized Response Designs and Certain Aspects of
Post-Randomization for Statistical Disclosure Control” (2011).

Haojin Zhou.
Thesis: “The Equivariance Criterion in Statistical
Prediction and Its Ramifications” (2011).

**Professional
Service:**

Member,
ASA Committee for Samuel S. Wilks Award, 2010-

Member,
ASA Committee on Privacy and Confidentiality in Statistics, 2006-2011.

Associate
Editor, *Journal of Statistical Theory and Practice*, 2011 – present

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.

Reviewer
of research proposals for agencies such as NSF, EPA.

**University
Service:**

Member,
Faculty Senate Committee on Faculty Development and Support, 1993-1994.

Member,
Junior Scholar Research Incentive Award Committee, 1994-1995.

Member,
Dean's Council, 2000-2003.

Committee
for Math Department’s Chair Search, 2005-06.

Member,
Faculty Senate Committee on Fiscal Planning and Budgeting, 2006-07.

Honors
Quantitative Reasoning Proseminar course development
committee, 2006-07.

Member,
College Promotion & Tenure Committee, 2012-