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I. J. Bienaymé

Statistical Theory Anticipated

  • C. C. Heyde
  • E. Seneta
Book

Part of the Studies in the History of Mathematics and Physical Sciences book series (HISTORY, volume 3)

Table of contents

  1. Front Matter
    Pages i-xiv
  2. C. C. Heyde, E. Seneta
    Pages 1-18
  3. C. C. Heyde, E. Seneta
    Pages 19-39
  4. C. C. Heyde, E. Seneta
    Pages 40-61
  5. C. C. Heyde, E. Seneta
    Pages 62-96
  6. C. C. Heyde, E. Seneta
    Pages 97-128
  7. C. C. Heyde, E. Seneta
    Pages 129-137
  8. Back Matter
    Pages 138-174

About this book

Introduction

Our interest in 1. J. Bienayme was kindled by the discovery of his paper of 1845 on simple branching processes as a model for extinction of family names. In this work he announced the key criticality theorem 28 years before it was rediscovered in incomplete form by Galton and Watson (after whom the process was subsequently and erroneously named). Bienayme was not an obscure figure in his time and he achieved a position of some eminence both as a civil servant and as an Academician. However, his is no longer widely known. There has been some recognition of his name work on least squares, and a gradually fading attribution in connection with the (Bienayme-) Chebyshev inequality, but little more. In fact, he made substantial contributions to most of the significant problems of probability and statistics which were of contemporary interest, and interacted with the major figures of the period. We have, over a period of years, collected his traceable scientific work and many interesting features have come to light. The present monograph has resulted from an attempt to describe his work in its historical context. Earlier progress reports have appeared in Heyde and Seneta (1972, to be reprinted in Studies in the History of Probability and Statistics, Volume 2, Griffin, London; 1975; 1976).

Keywords

Bienayme, Irenee Jules Statistik average history of mathematics statistical theory statistics

Authors and affiliations

  • C. C. Heyde
    • 1
  • E. Seneta
    • 2
  1. 1.Division of Mathematics and StatisticsC.S.I.R.O.Canberra CityAustralia
  2. 2.Australian National UniversityCanberraAustralia

Bibliographic information

  • DOI https://doi.org/10.1007/978-1-4684-9469-3
  • Copyright Information Springer New York 1977
  • Publisher Name Springer, New York, NY
  • eBook Packages Springer Book Archive
  • Print ISBN 978-1-4684-9471-6
  • Online ISBN 978-1-4684-9469-3
  • Series Print ISSN 0172-570X
  • Buy this book on publisher's site