Selected Works of Debabrata Basu

1. Front Matter

   Pages i-xxvii

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2. Basu’s Work on Randomization and Data Analysis

   • George Casella*, Vikneswaran Gopal

   Pages 1-4

3. Basu on Ancillarity

   • Philip Dawid

   Pages 5-8

4. Conditional Inference by Estimation of a Marginal Distribution

   • Thomas J. DiCiccio, G. Alastair Young

   Pages 9-14

5. Basu’s Theorem

   • Malay Ghosh

   Pages 15-21

6. Basu’s Work on Likelihood and Information

   • Joseph B. Kadane

   Pages 23-24

7. Basu on Survey Sampling

   • Glen Meeden

   Pages 25-26

8. Commentary on Basu (1956)

   • Robert J. Serfling

   Pages 27-30

9. Commentary on A Note on the Dirichlet Process

   • Jayaram Sethuraman

   Pages 31-33

10. Commentary on D. Basu’s Papers on Sufficiency and Related Topics

    • T.P. Speed

    Pages 35-40

11. Basu on Randomization Tests

    • A.H. Welsh

    Pages 41-44

12. Basu on Survey Sampling

    • A.H. Welsh

    Pages 45-49

13. On Symmetric Estimators in Point Estimation with Convex Weight Functions

    • D. Basu

    Pages 51-58

14. An Inconsistency of the Method of Maximum Likelihood

    • D. Basu

    Pages 59-60

15. On Statistics Independent of a Complete Sufficient Statistic

    • D. Basu

    Pages 61-64

16. The Concept of Asymptotic Efficiency

    • D. Basu

    Pages 65-68

17. On Statistics Independent of Sufficient Statistics

    • D. Basu

    Pages 69-72

18. On Sampling with and Without Replacement

    • D. Basu

    Pages 73-80

19. The Family of Ancillary Statistics

    • D. Basu

    Pages 81-90

20. Recovery of Ancillary Information*

    • D. Basu

    Pages 91-104

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.

• D. Basu
• Debabrata Basu
• selected works Basu

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)

• Dept. Statistics & Mathematics, Purdue University, West Lafayette, USA

  Anirban DasGupta

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.

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