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 ...

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 ...

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 ...

In recent years, Markov chains whose stationary distributions belong to the locationscale families of binomial distributions (hereafter referred to as binomial Markov chains) have become an ...