Skip to main content
SpringerLink
Log in
SpringerLink
Log in

I. J. Bienaymé

Statistical Theory Anticipated

  • Book
  • © 1977

Overview

Authors:
  1. C. C. Heyde

    1. Division of Mathematics and Statistics, C.S.I.R.O., Canberra City, Australia

    View author publications

    You can also search for this author in PubMed   Google Scholar

  2. E. Seneta

    1. Australian National University, Canberra, Australia

    View author publications

    You can also search for this author in PubMed   Google Scholar

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

This is a preview of subscription content, log in via an institution to check access.

Access this book

Log in via an institution
eBook USD 39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access

Licence this eBook for your library

Institutional subscriptions

Table of contents (6 chapters)

  1. Front Matter

    Pages i-xiv
    Download chapter PDF

  2. Historical background

    • C. C. Heyde, E. Seneta
    Pages 1-18

  3. Demography and social statistics

    • C. C. Heyde, E. Seneta
    Pages 19-39

  4. Homogeneity and stability of statistical trials

    • C. C. Heyde, E. Seneta
    Pages 40-61

  5. Linear least squares

    • C. C. Heyde, E. Seneta
    Pages 62-96

  6. Other probability and statistics

    • C. C. Heyde, E. Seneta
    Pages 97-128

  7. Miscellaneous writings

    • C. C. Heyde, E. Seneta
    Pages 129-137

  8. Back Matter

    Pages 138-174
    Download chapter PDF
Back to top

Keywords

About this book

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).

Authors and Affiliations

  • Division of Mathematics and Statistics, C.S.I.R.O., Canberra City, Australia

    C. C. Heyde

  • Australian National University, Canberra, Australia

    E. Seneta

Bibliographic Information

  • Book Title: I. J. Bienaymé

  • Book Subtitle: Statistical Theory Anticipated

  • Authors: C. C. Heyde, E. Seneta

  • Series Title: Studies in the History of Mathematics and Physical Sciences

  • DOI: https://doi.org/10.1007/978-1-4684-9469-3

  • Publisher: Springer New York, NY

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer Science+Business Media New York 1977

  • Softcover ISBN: 978-1-4684-9471-6Published: 14 July 2012

  • eBook ISBN: 978-1-4684-9469-3Published: 06 December 2012

  • Series ISSN: 0172-570X

  • Edition Number: 1

  • Number of Pages: 172

  • Number of Illustrations: 1 b/w illustrations

  • Topics: Applications of Mathematics

Publish with us

Policies and ethics

Back to top

Search

Navigation