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On a characterization of Poisson distributions
- Source :
- Journal of Applied Probability. 9:852-856
- Publication Year :
- 1972
- Publisher :
- Cambridge University Press (CUP), 1972.
-
Abstract
- The conjecture pronounced at the end of the paper of Srivastava and Srivastava (1970) is proved in this paper. It gives the following characterization of (bivariate) Poisson distributions. Suppose that items of two types have been observed certain numbers of times, but these original observations have been reduced due to a destructive process which is the product of two binomial distributions and that the probabilities of these reduced numbers are the same whether damaged or undamaged. Then the original random variables had a bivariate Poisson distribution with zero mutual dependence coefficient.
- Subjects :
- Statistics and Probability
Pure mathematics
Conjecture
Binomial (polynomial)
General Mathematics
Zero (complex analysis)
Bivariate analysis
Poisson distribution
symbols.namesake
Product (mathematics)
symbols
Zero-inflated model
Statistics, Probability and Uncertainty
Random variable
Mathematics
Subjects
Details
- ISSN :
- 14756072 and 00219002
- Volume :
- 9
- Database :
- OpenAIRE
- Journal :
- Journal of Applied Probability
- Accession number :
- edsair.doi.dedup.....022077a419b62e9693d00ab044b5999a