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Statistical Information and Likelihood

A Collection of Critical Essays by Dr. D. Basu

  • Book
  • © 1988

Overview

Editors:
  1. J. K. Ghosh

    1. Indian Statistical Institute, Calcutta, India

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Part of the book series: Lecture Notes in Statistics (LNS, volume 45)

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Table of contents (24 chapters)

  1. Front Matter

    Pages N2-xviii
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  2. Information and Likelihood

    1. Front Matter

      Pages xix-xix
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    2. Recovery of Ancillary Information

      • J. K. Ghosh
      Pages 1-19

    3. Statistical Information and Likelihood

      • J. K. Ghosh
      Pages 20-42

    4. Statistical Information and Likelihood

      • J. K. Ghosh
      Pages 43-59

    5. Statistical Information and Likelihood

      • J. K. Ghosh
      Pages 60-77

    6. Statistical Information and Likelihood Discussions

      • J. K. Ghosh
      Pages 78-97

    7. Partial Sufficiency

      • J. K. Ghosh
      Pages 98-113

    8. Elimination of Nuisance Parameters

      • J. K. Ghosh
      Pages 114-141

    9. Sufficiency and Invariance

      • J. K. Ghosh
      Pages 142-160

    10. Ancillary Statistics, Pivotal Quantities and Confidence Statements

      • J. K. Ghosh
      Pages 161-176

  3. Survey Sampling and Randomization

    1. Front Matter

      Pages N3-N3
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    2. Sufficiency in Survey Sampling

      • J. K. Ghosh
      Pages 177-185

    3. Likelihood Principle and Survey Sampling

      • J. K. Ghosh
      Pages 186-200

    4. On the Logical Foundations of Survey Sampling

      • J. K. Ghosh
      Pages 201-233

    5. On the Logical Foundations of Survey Sampling Discussions

      • J. K. Ghosh
      Pages 234-244

    6. Relevance of Randomization in Data Analysis

      • J. K. Ghosh
      Pages 245-270

    7. The Fisher Randomization Test

      • J. K. Ghosh
      Pages 271-289

    8. The Fisher Randomization Test: Discussions

      • J. K. Ghosh
      Pages 290-312

  4. Miscellaneous Notes and Discussions

    1. Front Matter

      Pages N4-N4
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Keywords

About this book

It is an honor to be asked to write a foreword to this book, for I believe that it and other books to follow will eventually lead to a dramatic change in the current statistics curriculum in our universities. I spent the 1975-76 academic year at Florida State University in Tallahassee. My purpose was to complete a book on Statistical Reliability Theory with Frank Proschan. At the time, I was working on total time on test processes. At the same time, I started attending lectures by Dev Basu on statistical inference. It was Lehmann's hypothesis testing course and Lehmann's book was the text. However, I noticed something strange - Basu never opened the book. He was obviously not following it. Instead, he was giving a very elegant, measure theoretic treatment of the concepts of sufficiency, ancillarity, and invariance. He was interested in the concept of information - what it meant. - how it fitted in with contemporary statistics. As he looked at the fundamental ideas, the logic behind their use seemed to evaporate. I was shocked. I didn't like priors. I didn't like Bayesian statistics. But after the smoke had cleared, that was all that was left. Basu loves counterexamples. He is like an art critic in the field of statistical inference. He would find a counterexample to the Bayesian approach if he could. So far, he has failed in this respect.

Editors and Affiliations

  • Indian Statistical Institute, Calcutta, India

    J. K. Ghosh

Bibliographic Information

  • Book Title: Statistical Information and Likelihood

  • Book Subtitle: A Collection of Critical Essays by Dr. D. Basu

  • Editors: J. K. Ghosh

  • Series Title: Lecture Notes in Statistics

  • DOI: https://doi.org/10.1007/978-1-4612-3894-2

  • Publisher: Springer New York, NY

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag New York Inc. 1988

  • Softcover ISBN: 978-0-387-96751-6Published: 12 July 1988

  • eBook ISBN: 978-1-4612-3894-2Published: 06 December 2012

  • Series ISSN: 0930-0325

  • Series E-ISSN: 2197-7186

  • Edition Number: 1

  • Number of Pages: XIX, 365

  • Topics: Applications of Mathematics

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