Convolutions of α‐unimodal discrete distributions

F. Wu and S. Dharmadhikari

Statistica Neerlandica, 1999, vol. 53, issue 2, 247-250

Abstract: This note proves that the convolution of an α‐unimodal discrete distribution with a β‐unimodal discrete distribution is (α+β)‐unimodal whenever (α+β)≥1. This is the discrete analogue of the fundamental result on generalized unimodality given by Olshen and Savage (1970).

Date: 1999
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