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Some Recent Applications of Functional Equations and Inequalities to Characterizations of Probability Distributions, Combinatorics, Information Theory and Mathematical Economics

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A Modern Course on Statistical Distributions in Scientific Work

Part of the book series: NATO Advanced Study Institutes Series ((ASIC,volume 17))

Summary

This is a survey of some recent results found by my co-workers and myself. Our range of topics starts with characterizations of ordinary (bivariate) and generalized Poisson distributions but it leads us to combinatorics, geometry, theory of information (with and without probability) and even mathematical economics. Our methods consist in solving functional equations and inequalities.

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Author information

Authors and Affiliations

  1. University of Waterloo, Waterloo, Ontario, Canada

    J. Aczél

Authors
  1. J. Aczél
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Editor information

Editors and Affiliations

  1. The Pennsylvania State University, University Park, Pa., USA

    Ganapati P. Patil

  2. Temple University, Philadelphia, Pa., USA

    Samuel Kotz

  3. University of Warwick, Coventry, England

    J. K. Ord

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© 1975 D. Reidel Publishing Company, Dordrecht-Holland

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Aczél, J. (1975). Some Recent Applications of Functional Equations and Inequalities to Characterizations of Probability Distributions, Combinatorics, Information Theory and Mathematical Economics. In: Patil, G.P., Kotz, S., Ord, J.K. (eds) A Modern Course on Statistical Distributions in Scientific Work. NATO Advanced Study Institutes Series, vol 17. Springer, Dordrecht. https://doi.org/10.1007/978-94-010-1848-7_30

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  • DOI: https://doi.org/10.1007/978-94-010-1848-7_30

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-1850-0

  • Online ISBN: 978-94-010-1848-7

  • eBook Packages: Springer Book Archive

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