论文信息 - On the monotone likelihood ratio property for the convolution of independent binomial random variables

On the monotone likelihood ratio property for the convolution of independent binomial random variables

Given that r and s are natural numbers and X~Binomial(r,q) and Y~Binomial(s,p) are independent random variables where q,[email protected]?(0,1), we prove that the likelihood ratio of the convolution Z=X+Y is decreasing, increasing, or constant when qp or q=p, respectively.

Andrey Rukhin | Carey E. Priebe | Dennis M. Healy

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