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The Craft of Probabilistic Modelling

A Collection of Personal Accounts

  • J. Gani

Part of the Applied Probability book series (APPLIEDPROB, volume 1)

Table of contents

  1. Front Matter
    Pages i-xiv
  2. Early Craftsmen

    1. Front Matter
      Pages 1-1
    2. David G. Kendall
      Pages 3-9
    3. Herbert Solomon
      Pages 10-30
    4. E. J. Hannan
      Pages 31-42
    5. G. S. Watson
      Pages 43-60
  3. The Craft Organized

    1. Front Matter
      Pages 61-61
    2. Norman T. J. Bailey
      Pages 63-87
    3. J. W. Cohen
      Pages 88-108
    4. Ryszard Syski
      Pages 109-125
    5. N. U. Prabhu
      Pages 126-138
    6. Lajos Takács
      Pages 139-149
    7. Peter Whittle
      Pages 186-195
    8. Ralph L. Disney
      Pages 196-210
  4. The Craft in Development

    1. Front Matter
      Pages 211-211
    2. Marcel F. Neuts
      Pages 213-221
    3. D. Vere-Jones
      Pages 222-234
    4. K. R. Parthasarathy
      Pages 235-249
    5. W. J. Ewens
      Pages 276-290
  5. Back Matter
    Pages 309-313

About this book

Introduction

This book brings together the personal accounts and reflections of nineteen mathematical model-builders, whose specialty is probabilistic modelling. The reader may well wonder why, apart from personal interest, one should commission and edit such a collection of articles. There are, of course, many reasons, but perhaps the three most relevant are: (i) a philosophicaJ interest in conceptual models; this is an interest shared by everyone who has ever puzzled over the relationship between thought and reality; (ii) a conviction, not unsupported by empirical evidence, that probabilistic modelling has an important contribution to make to scientific research; and finally (iii) a curiosity, historical in its nature, about the complex interplay between personal events and the development of a field of mathematical research, namely applied probability. Let me discuss each of these in turn. Philosophical Abstraction, the formation of concepts, and the construction of conceptual models present us with complex philosophical problems which date back to Democritus, Plato and Aristotle. We have all, at one time or another, wondered just how we think; are our thoughts, concepts and models of reality approxim&tions to the truth, or are they simply functional constructs helping us to master our environment? Nowhere are these problems more apparent than in mathematical model­ ling, where idealized concepts and constructions replace the imperfect realities for which they stand.

Keywords

Abstraction Mathematica conceptual model construction development field form function functional modeling modelling probability reflection time

Editors and affiliations

  • J. Gani
    • 1
  1. 1.Statistics Program Department of MathematicsUniversity of CaliforniaSanta BarbaraUSA

Bibliographic information

  • DOI https://doi.org/10.1007/978-1-4613-8631-5
  • Copyright Information Springer-Verlag New York 1986
  • Publisher Name Springer, New York, NY
  • eBook Packages Springer Book Archive
  • Print ISBN 978-1-4613-8633-9
  • Online ISBN 978-1-4613-8631-5
  • Series Print ISSN 0937-3195
  • Buy this book on publisher's site