Reproducibility in the one-parameter exponential family |
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| Authors: | S K Bar-Lev P Enis |
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| Institution: | (1) Department of Statistics, University of Haifa, Israel;(2) Department of Statistics, State University of New York at Buffalo, 4230 Ridge Lea Road, 14226 Buffalo, New York, USA |
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| Abstract: | Summary LetX
1, ...,X
n
be i.i.d. random variables with common distribution an element of a linear one-parameter exponential family indexed by a natural parameter  . It is proved that the distribution of
is an element ofF, for all   andn=1, 2, ... if and only ifF is a family of scale transformed Poisson distributions. |
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| Keywords: | |
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