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Statistical Information and Likelihood

A Collection of Critical Essays by Dr. D. Basu

  • J. K. Ghosh

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

Table of contents

  1. Front Matter
    Pages N2-xviii
  2. Information and Likelihood

    1. Front Matter
      Pages xix-xix
    2. J. K. Ghosh
      Pages 1-19
    3. J. K. Ghosh
      Pages 20-42
    4. J. K. Ghosh
      Pages 43-59
    5. J. K. Ghosh
      Pages 60-77
    6. J. K. Ghosh
      Pages 98-113
    7. J. K. Ghosh
      Pages 114-141
    8. J. K. Ghosh
      Pages 142-160
  3. Survey Sampling and Randomization

    1. Front Matter
      Pages N3-N3
    2. J. K. Ghosh
      Pages 177-185
    3. J. K. Ghosh
      Pages 186-200
    4. J. K. Ghosh
      Pages 271-289
    5. J. K. Ghosh
      Pages 290-312
  4. Miscellaneous Notes and Discussions

    1. Front Matter
      Pages N4-N4
    2. J. K. Ghosh
      Pages 313-320
    3. J. K. Ghosh
      Pages 321-324
    4. J. K. Ghosh
      Pages 325-328
    5. J. K. Ghosh
      Pages 329-332
    6. J. K. Ghosh
      Pages 333-336
    7. J. K. Ghosh
      Pages 345-349
  5. Back Matter
    Pages 350-369

About this book

Introduction

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.

Keywords

Likelihood Variance data analysis statistical inference statistics

Editors and affiliations

  • J. K. Ghosh
    • 1
  1. 1.Indian Statistical InstituteCalcuttaIndia

Bibliographic information

  • DOI https://doi.org/10.1007/978-1-4612-3894-2
  • Copyright Information Springer-Verlag New York 1988
  • Publisher Name Springer, New York, NY
  • eBook Packages Springer Book Archive
  • Print ISBN 978-0-387-96751-6
  • Online ISBN 978-1-4612-3894-2
  • Series Print ISSN 0930-0325
  • Buy this book on publisher's site