The order statistics of independent random variables each having the same negative binomial distribution are discussed. Recurrence relations for probability generating functions and moments of the ...

Sankhyā: The Indian Journal of Statistics, Series B (1960-2002), Vol. 33, No. 3/4 (Dec., 1971), pp. 217-224 (8 pages) Suppose that ${\rm L}(\psi,\theta)=(\psi ...

This study extends the Poisson binomial distribution by introducing correlation and dependence between binomial events, enhancing its ability to capture complex event types and improving model ...

For binomial and Poisson distributions, the scale parameter has a value of 1. The variance of Y is for the binomial distribution and for the Poisson distribution. Overdispersion occurs when the ...

1. Ecological count data (e.g., number of individuals or species) are often log-transformed to satisfy parametric test assumptions.2. Apart from the fact that generalized linear models are better ...