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Characterizations of distributions through some identities

Published online by Cambridge University Press:  14 July 2016

B. L. S. Prakasa Rao
B. L. S. Prakasa Rao*
Affiliation:
Indian Statistical Institute, New Delhi
*
∗Postal address: Indian Statistical Institute, Delhi Centre, 7, S.J.S. Sansanwal Marg, New Delhi 110029, India.
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Abstract

Some characterizations of continuous and discrete exponential families of distributions are given. These characterizations are used to obtain some limit theorems.

Keywords

CHARACTERIZATIONBINOMIAL DISTRIBUTIONNORMAL DISTRIBUTIONNEGATIVE BINOMIAL DISTRIBUTIONPOISSON DISTRIBUTIONGAMMA DISTRIBUTIONLIMIT THEOREMS
Type
Short Communications
Information
Journal of Applied Probability , Volume 16 , Issue 4 , December 1979 , pp. 903 - 909
Copyright
Copyright © Applied Probability Trust 1979 

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References

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