Selected Works of Debabrata Basu

Anirban DasGupta is Professor of Statistics at Purdue University. He is an Associate Editor of the Annals of Statistics, Statistics Surveys, and Metrika. He has also served in the editorial boards of the Journal of American Statistical Association, International Statistical Review, Journal of Statistical Planning and Inference, and Sankhya. He is the author of Springer's Asymptotic Theory of Statistics and Probability and of Fundamentals of Probability, A First Course. He is a Fellow of the Institute of Mathematical Statistics and is the author of 105 articles.

From the reviews:“This book … contains eleven commentaries written by experts in the area of statistical methodology and inference. … I enjoyed re-reading some of the articles with great interest and pleasure. This valuable collection has some nice pieces of statistical and mathematical works, and provides historical developments of some of the important work in respective statistical field. Undoubtedly, this book will be of interest to researchers in probability, statistics, and related fields. The editor did a wonderful job in organizing this volume.” (Technometrics, Vol. 53 (4), November, 2011)

• D. Basu. An inconsistency of the method of maximum likelihood. Ann. Math. Statist., 26, 144-145, 1955. D. Basu. On statistics independent of a complete su±cient statistic, Sankhya, 15, 377-380, 1955.- D. Basu. The concept of asymptotic e±ciency. Sankhya, 17, 193-196, 1956.- D. Basu. On statistics independent of a su±cient statistic. Sankhya, 20, 223-226, 1958.D. Basu. On sampling with and without replacement, Sankhya, 20, 287-294.- D. Basu. The family of ancillary statistics. Sankhya, 21, 247-256, 1959.- D. Basu. Recovery of ancillary information. Sankhya, Ser. A, 26, 3-16, 1964.- D. Basu. Problems related to the existence of maximal and minimal elements in some families of statistics (sub¯elds). Proceedings of the Fifth Berkeley Symposium on Mathematical Statistics and Probability, I, 41-50, 1967.- D. Basu and J. K. Ghosh. Invariant sets for translation parameter families of distributions. Ann. Math. Statist., 40, 162-174, 1969.- D. Basu. Role of su±ciency and likelihood principle in sample survey theory. Sankhya, Ser. A, 31, 441-454, 1969.- D. Basu. On sufficiency and invariance. Essays in Probability and Statistics, 61-84, 1970. University of North Carolina Press.- D. Basu. An essay on the logical foundations of survey sampling, with comments by G. A. Bernard, V. P. Godambe, J. H¶ajek, J. C. Koop, and R. Royall, and a reply by the author. Foundations of Statistical Inference, 203-242, 1970. Holt, Rinehart, and Winston of Canada.- D. Basu. Statistical information and likelihhod, Discussion and correspondence between G. A. Bernard and D. Basu. Sankhy¹a, Ser. A, 37, 1-71, 1975.- D. Basu. On the elimination of nuisance parameters. Jour. Amer. Statist. Assoc., 72, 355-366, 1977.- D. Basu. On partial su±ciency: A review. Jour. Statist. Planning Inf., 2, 1-13, 1978.- D. Basu. Randomization analysis of experimental data: The Fisher randomization test, with comments by D. Hinkley, O. Kempthorne, D. Lane, D. V. Lindley, and D. B. Rubin, and a reply by the author.Jour. Amer. Statist. Assoc., 75, 575-595, 1980.- D. Basu. On ancillary statistics, pivotal quantities, and confidence statements, in Topics in Applied Statistics, 1-29, V. P. Chaubey and T. D. Dwivedi eds., Concordia University, 1981.- D. Basu and S. C. Cheng. A note on su±ciency in coherent models, Internat. Jour. Math. Math. Sci., 4, 571-582, 1981.- D. Basu and R. C. Tiwari. A note on the Dirichlet process, Statistics and Probability: Essays in Honor of C. R. Rao, 89-103, North-Holland, 1982.- D. Basu and C. B. Pereira. Conditional independence in statistics. Sankhya, Ser. A, 45, 324-337, 1983.- D. Basu. A note on Blackwell su±ciency and Skibinsky characterization of distributions, Sankhya, Ser. A, 45, 99-104, 1983.- D. Basu. Learning statistics from counterexamples, Bayesian Analysis in Statistics and Econometrics, 217-223, Lecture Notes in Statistics, 75, Springer, 1992.