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The Craft of Probabilistic Modelling

A Collection of Personal Accounts

  • Book
  • © 1986
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Overview

Editors:
  1. J. Gani

    1. Statistics Program Department of Mathematics, University of California, Santa Barbara, USA

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

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Table of contents (19 chapters)

  1. Front Matter

    Pages i-xiv
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  2. Early Craftsmen

    1. Front Matter

      Pages 1-1
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    2. Crafty Modelling

      • David G. Kendall
      Pages 3-9
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    3. Looking at Life Quantitatively

      • Herbert Solomon
      Pages 10-30
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    4. Remembrance of Things Past

      • E. J. Hannan
      Pages 31-42
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    5. A Boy from the Bush

      • G. S. Watson
      Pages 43-60
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  3. The Craft Organized

    1. Front Matter

      Pages 61-61
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    2. An Improbable Path

      • Norman T. J. Bailey
      Pages 63-87
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    3. Some Samples of Modelling

      • J. W. Cohen
      Pages 88-108
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    4. Markovian Models—An Essay

      • Ryszard Syski
      Pages 109-125
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    5. Probability Modelling Across the Continents

      • N. U. Prabhu
      Pages 126-138
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    6. Chance or Determinism?

      • Lajos Takács
      Pages 139-149
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    7. Diffusion Models of Population Genetics in the Age of Molecular Biology

      • Motoo Kimura
      Pages 150-165
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    8. Return of the Wanderer: A Physicist Becomes a Probabilist

      • Julian Keilson
      Pages 166-185
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    9. In the Late Afternoon

      • Peter Whittle
      Pages 186-195
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    10. The Making of a Queueing Theorist

      • Ralph L. Disney
      Pages 196-210
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  4. The Craft in Development

    1. Front Matter

      Pages 211-211
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    2. An Algorithmic Probabilist’s Apology

      • Marcel F. Neuts
      Pages 213-221
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    3. Probability, Earthquakes and Travel Abroad

      • D. Vere-Jones
      Pages 222-234
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    4. From Information Theory to Quantum Mechanics

      • K. R. Parthasarathy
      Pages 235-249
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Keywords

About this book

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.

Editors and Affiliations

  • Statistics Program Department of Mathematics, University of California, Santa Barbara, USA

    J. Gani

Bibliographic Information

  • Book Title: The Craft of Probabilistic Modelling

  • Book Subtitle: A Collection of Personal Accounts

  • Editors: J. Gani

  • Series Title: Applied Probability

  • DOI: https://doi.org/10.1007/978-1-4613-8631-5

  • Publisher: Springer New York, NY

  • eBook Packages: Springer Book Archive

  • Copyright Information: Applied Probability Trust 1986

  • Softcover ISBN: 978-1-4613-8633-9Published: 18 October 2011

  • eBook ISBN: 978-1-4613-8631-5Published: 06 December 2012

  • Series ISSN: 0937-3195

  • Edition Number: 1

  • Number of Pages: XIV, 313

  • Topics: Probability Theory and Stochastic Processes

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