Ebook: 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.

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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.

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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.

Content:
Front Matter....Pages i-xxvii
Basu’s Work on Randomization and Data Analysis....Pages 1-4
Basu on Ancillarity....Pages 5-8
Conditional Inference by Estimation of a Marginal Distribution....Pages 9-14
Basu’s Theorem....Pages 15-21
Basu’s Work on Likelihood and Information....Pages 23-24
Basu on Survey Sampling....Pages 25-26
Commentary on Basu (1956)....Pages 27-30
Commentary on D. Basu’s Papers on Sufficiency and Related Topics....Pages 31-33
Basu on Randomization Tests....Pages 35-40
Basu on Survey Sampling....Pages 41-44
On Symmetric Estimators in Point Estimation with Convex Weight Functions....Pages 45-49
An Inconsistency of the Method of Maximum Likelihood....Pages 51-58
On Statistics Independent of a Complete Sufficient Statistic....Pages 59-60
The Concept of Asymptotic Efficiency....Pages 61-64
On Statistics Independent of Sufficient Statistics....Pages 65-68
On Sampling with and Without Replacement....Pages 69-72
The Family of Ancillary Statistics....Pages 73-80
Recovery of Ancillary Information*....Pages 81-90
Problems Relating to the Existence of Maximal and Minimal Elements in Some Families of Statistics (Subfields)....Pages 91-104
Invariant Sets for Translation-Parameter Families of Measures....Pages 105-114
Role of the Sufficiency and Likelihood Principles in Sample Survey Theory*....Pages 115-127
On Sufficiency and Invariance....Pages 129-142
An Essay on the Logical Foundations of Survey Sampling, Part One*....Pages 143-166
Statistical Information and Likelihood*....Pages 167-206
On the Elimination of Nuisance Parameters....Pages 207-277
On Partial Sufficiency: A Review*....Pages 279-290
Randomization Analysis of Experimental Data: The Fisher Randomization Test....Pages 291-303
Ancillary Statistics, Pivotal Quantities and Confidence Statements....Pages 305-325
A Note on Sufficiency in Coherent Models....Pages 327-342
A Note on the Dirichlet Processs....Pages 343-354
Conditional Independence in Statistics....Pages 355-369
A Note on Blackwell Sufficiency and a Skibinsky Characterization of Distributions....Pages 371-384
Learning Statistics from Counter Examples: Ancillary Statistics....Pages 385-390
Erratum....Pages 391-397
....Pages E1-E3