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Characterizations of distributions through some identities
Published online by Cambridge University Press: 14 July 2016
Abstract
Some characterizations of continuous and discrete exponential families of distributions are given. These characterizations are used to obtain some limit theorems.
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- Copyright © Applied Probability Trust 1979
References
[1]
Bondesson, L. (1974) Characterizations of probability laws through constant regression.
Z. Wahrscheinlichkeitsth.
30, 93–115.CrossRefGoogle Scholar
[2]
Chen, L. H. Y. (1972) An elementary proof of the central limit theorem.
Bull. Singapore Math. Soc.
, 1–12.Google Scholar
[3]
Elsgolts, L. (1973)
Differential Equations and the Calculus of Variations.
Mir, Moscow.Google Scholar
[4]
Hazendock, J. (1977) Une généralisation du théorème de la limite centrale de Lindeberg.
C. R. Acad. Sci. Paris A
285, 797–800.Google Scholar
[5]
Hudson, H. M. (1978) A natural identity for exponential families with applications in multiparameter estimation.
Ann. Statist.
6, 473–484.Google Scholar
[6]
Stein, C. M. (1973) Estimation of the mean of a multivariate normal distribution. Technical Report No. 48, Stanford University.Google Scholar
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