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Pivotal Measures in Statistical Experiments and Sufficiency

  • Sakutarō Yamada

Part of the Lecture Notes in Statistics book series (LNS, volume 84)

Table of contents

  1. Front Matter
    Pages i-viii
  2. Sakutarō Yamada
    Pages 1-5
  3. Sakutarō Yamada
    Pages 6-20
  4. Sakutarō Yamada
    Pages 21-38
  5. Sakutarō Yamada
    Pages 59-76
  6. Sakutarō Yamada
    Pages 108-118
  7. Back Matter
    Pages 119-131

About this book

Introduction

In the present work I want to show a mathematical study of the statistical notion of sufficiency mainly for undominated statistical experiments. The famous Burkholder's (1961) and Pitcher's(1957) examples motivated some researchers to develop new theory of sufficiency. Le Cam (1964) is probably the most excellent paper in this field of study. This note also belongs to the same area. Though it is more restrictive than Le Cam's paper(1964), a study which is connected more directly with the classical papers of Halmos and Savage(1949) , and Bahadur(1954) is shown. Namely I want to develop a study based on the notion of pivotal measure which was introduced by Halmos and Savage(1949) . It is great pleasure to have this opportunity to thank Professor H. Heyer and Professor H. Morimoto for their careful reading the manuscript and valuable comments on it. I am also thankful to Professor H. Luschgy and Professor D. Mussmann for thei r proposal of wr i ting "the note". I would like to dedicate this note to the memory of my father Eizo.

Keywords

Maxima conditional probability probability statistics

Authors and affiliations

  • Sakutarō Yamada
    • 1
  1. 1.Department of Fishery Resources ManagementTokyo University of FisheriesTokyoJapan

Bibliographic information

  • DOI https://doi.org/10.1007/978-1-4612-2644-4
  • Copyright Information Springer-Verlag New York 1994
  • Publisher Name Springer, New York, NY
  • eBook Packages Springer Book Archive
  • Print ISBN 978-0-387-94216-2
  • Online ISBN 978-1-4612-2644-4
  • Series Print ISSN 0930-0325
  • Buy this book on publisher's site