ON THE UNIMODALITY OF THE GENERALIZED NEGATIVE BINOMIAL DISTRIBUTION

P.C. Consul and F. Famoye

Statistica Neerlandica, 1986, vol. 40, issue 3, 141-144

Abstract: Abstract. It is shown that the generalized negative binomial distribution which is useful in random walks, queueing theory and branching processes is unimodal. When nθ(1 –θ)β‐1 > 1, the mode is not at the point x= 0 and for that case, the lower and the upper bounds of the mode are obtained.

Date: 1986
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