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Comments on some papers involving the integrated Cauchy functional equation

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Publication:689554
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DOI10.1016/0167-7152(93)90206-XzbMath0792.62010MaRDI QIDQ689554

E. B. Fosam, Damodar N. Shanbhag, C. Radhakrishna Rao

Publication date: 26 July 1994

Published in: Statistics \& Probability Letters (Search for Journal in Brave)


zbMATH Keywords

integral equationgeometric distributionscharacterizationsexponential distributionsintegrated Cauchy functional equationLau-Rao theorem


Mathematics Subject Classification ID

Functional equations for real functions (39B22) Characterization and structure theory of statistical distributions (62E10)


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A brief biography and appreciation of Calyampudi Radhakrishna Rao, with a bibliography of his books and papers, Some unified characterization results on generalized Pareto distributions



Cites Work

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  • Recent results on characterization of probability distributions: a unified approach through extensions of Deny&s theorem
  • A characterization of geometric distributions by distributional properties of order statistics
  • An extension of the Rao-Rubin characterization of the Poisson distribution
  • A GENERALIZATION OF A THEOREM OF DENY WITH APPLICATIONS IN CHARACTERIZATION THEORY
  • Integral equations on a half-line with kernel depending upon the difference of the arguments
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