Institute of Mathematical Statistics Lecture Notes - Monograph Series

Versions of de Finetti’s Theorem with applications to damage models

C. R. Rao and D. N. Shanbhag

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Alzaid et al., An application of the Perron-Frobenius theorem to a damage model problem, and Rao et al., Damage models: A Martin boundary connection. Basu Memorial Volume, have shown that several of the results on damage models have links with certain results on nonnegative matrices. In the present article, we deal with integral equations met in damage model studies via specialized versions of de Finetti’s theorem and extend further the theorems of Rao and Rubin, On a characterization of the Poisson distribution, and Shanbhag , An extension of the Rao-Rubin characterization of the Poisson distribution, on damage models.

Chapter information

Anirban DasGupta, ed., A Festschrift for Herman Rubin (Beachwood, Ohio, USA: Institute of Mathematical Statistics, 2004), 62-74

First available in Project Euclid: 28 November 2007

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Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

Primary: 60E05: Distributions: general theory 62E10: Characterization and structure theory 62H10: Distribution of statistics

de Finetti’s theorem Choquet-Deny theorem Lau-Rao-Shanbhag theorems Rao-Rubin-Shanbhag theorems Rao’s damage model Rao-Rubin condition

Copyright © 2004, Institute of Mathematical Statistics


Rao, C. R.; Shanbhag, D. N. Versions of de Finetti’s Theorem with applications to damage models. A Festschrift for Herman Rubin, 62--74, Institute of Mathematical Statistics, Beachwood, Ohio, USA, 2004. doi:10.1214/lnms/1196285380.

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