DocumentCode
1363132
Title
Characterization of beta, binomial, and Poisson distributions
Author
Ahmed, A.N.
Author_Institution
Cairo Univ., Giza, Egypt
Volume
40
Issue
3
fYear
1991
fDate
8/1/1991 12:00:00 AM
Firstpage
290
Lastpage
295
Abstract
Characterizations of beta, binomial, and Poisson distributions are presented by using conditional expectation. The author gives a necessary and sufficient condition for identifying the beta distribution. The power distribution is considered as a special case. The binomial distribution is characterized. A necessary and sufficient condition identifying the Poisson distribution is outlined. Some practical applications are presented
Keywords
statistical analysis; Poisson distribution; beta distribution; binomial distribution; conditional expectation; power distribution; Books; Covariance matrix; Hazards; Mathematics; Power distribution; Probability; Random variables; Reliability theory; Statistical distributions; Sufficient conditions;
fLanguage
English
Journal_Title
Reliability, IEEE Transactions on
Publisher
ieee
ISSN
0018-9529
Type
jour
DOI
10.1109/24.85443
Filename
85443
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