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Stochastic comparisons of Poisson and binomial random variables with their mixtures.

Authors
Misra-N; Singh-H; Harner-EJ
Source
Stat Probab Lett 2003 Dec; 65(4):279-290
NIOSHTIC No.
20024193
Abstract
Motivated by an ecological sampling problem, we compare a Poisson distribution having a fixed mean with a Poisson distribution having a random mean, which has an arbitrary continuous (or discrete) probability distribution. These comparisons are made with respect to the likelihood ratio ordering, simple stochastic ordering, uniform variability ordering and expectation ordering. As a particular case, the mixed Poisson and the Poisson distribution with a fixed mean are compared when both the distributions have the same mean. Similar comparisons are made between the mixed binomial and the binomial distribution having a fixed probability of success.
Keywords
Statistical-analysis; Statistical-quality-control; Mathematical-models
Contact
Department of Statistics, West Virginia University, PO Box 6330, Morgantown, WV 26506-6330
CODEN
SPLTDC
Publication Date
20031201
Document Type
Journal Article
Fiscal Year
2004
NTIS Accession No.
NTIS Price
Issue of Publication
4
ISSN
0167-7152
NIOSH Division
HELD
Source Name
Statistics & Probability Letters
State
WV
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