Selected Works of Debabrata Basu

This book contains a little more than 20 of Debabrata Basu's most significant articles and writings. Debabrata Basu is internationally known for his highly influential and fundamental contributions to the foundations of statistics, survey sampling, sufficiency, and invariance. The major theorem bearing his name has had numerous applications to statistics and probability. The articles in this volume are reprints of the original articles, in a chronological order. The book also contains eleven commentaries written by some of the most distinguished scholars in the area of foundations and statistical inference. These commentaries are by George Casella and V. Gopal, Phil Dawid, Tom DiCiccio and Alastair Young, Malay Ghosh, Jay kadane, Glen Meeden, Robert Serfling, Jayaram Sethuraman, Terry Speed, and Alan Welsh.

List of contents

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.

About the author

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.

Summary

This book contains a little more than 20 of Debabrata Basu's  most significant articles and writings. Debabrata Basu is internationally  known for his highly influential and fundamental contributions  to the foundations of statistics, survey sampling, sufficiency,  and invariance. The major theorem bearing his name has had numerous  applications to statistics and probability. The articles in this volume  are reprints of the original articles, in a chronological order. The  book also contains eleven commentaries written by some of the most  distinguished scholars in the area of foundations and statistical  inference. These commentaries are by George Casella and V. Gopal,  Phil Dawid, Tom DiCiccio and Alastair Young, Malay Ghosh, Jay kadane,  Glen Meeden, Robert Serfling, Jayaram Sethuraman, Terry Speed, and  Alan Welsh.

Additional text

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)

Report

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)

Product details

• Assisted by: Anirba Dasgupta (Editor), Anirban DasGupta (Editor)
• Publisher: Springer, Berlin
• Languages: English
• Product format: Hardback
• Released: 10.02.2011
• EAN: 9781441958242
• ISBN: 978-1-4419-5824-2
• No. of pages: 401
• Dimensions: 177 mm x 25 mm x 265 mm
• Weight: 992 g
• Illustrations: XXVII, 401 p.
• Series: Selected Works in Probability and Statistics; Selected Works in Probability and Statistics; Selected Works in Probability
• Subject: Natural sciences, medicine, IT, technology > Mathematics > Probability theory, stochastic theory, mathematical statistics