On generalized binomial and multinomial distributions and their relation to generalized Poisson distributions
Copyright policy )On generalized binomial and multinomial distributions and their relation to generalized Poisson distributions
Let \(n_ i\), \(i=1,2,...,r\) be positive integers and \(\underset \tilde{} X=(X_ 1,...,X_{n_ 1+...+n_ r})\) be a random vector with nonnegative integer-valued components. Define \[ Y_ j=\sum^{n_ j}_{i=1}iX_{n_ 1+...+n_{j-1}+i},\quad j=1,2,...,r. \] This paper studies essentially certain elementary properties of the random vector \((Y_ 1,...,Y_ r)\) in the case when the distribution of \(\underset \tilde{} X\) is multinomial.
- University of Crete Greece
- Athens University of Economics and Business Greece
- University of Patras Greece
generalized Poisson, multinomial distribution, elementary properties, compound Poisson distribution, cluster binomial distribution, cluster multinomial distribution, generalized Poisson distribution, cluster multinomial, cluster binomial, Characterization and structure theory of statistical distributions, Probability distributions: general theory, characterization, binomial distribution, jel: jel:C1
generalized Poisson, multinomial distribution, elementary properties, compound Poisson distribution, cluster binomial distribution, cluster multinomial distribution, generalized Poisson distribution, cluster multinomial, cluster binomial, Characterization and structure theory of statistical distributions, Probability distributions: general theory, characterization, binomial distribution, jel: jel:C1
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