Log-concavity of compound Poisson distributions
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Abstract
Log-concavity and total positivity of order 2 (TP2)properties of two-parameter compound Poisson distributions Q(x|θ,ν) with respect to x, θ and ν was studied by exploiting the interrelationships between log-concavity, TP2 and reproductive property developed by the existing literatures. One application was also presented.
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