This paper considers the inverse moments of the random variables with binomial-type distributions. We first derive some recursive formulas related to the inverse moments of the random variables with binomial and negative binomial distributions. Then we investigate the inverse moments of the...

Let fXi; i _ 1g denote a sequence of f0; 1g-variables and suppose that the sequence forms a Markov Chain. In the paper we study the number of successes Sn = X1 + X2 + ::: + Xn and we study the number of experiments Y (r) up to the rth success. In the i.i.d. case Sn has a binomial distribution and...

To estimate the total number of distinct species in a given region, Bayesian methods along with quadrat sampling procedures have been used by several authors. A key underlying assumption relies on the independence among the species. In this note, we analyse these estimates allowing a generalized...