On the monotone likelihood ratio property for the convolution of independent binomial random variables
نویسندگان
چکیده
Given that r and s are natural numbers and X ∼ Binomial(r, q) and Y ∼ Binomial(s, p) are independent random variables where q, p ∈ (0, 1), we prove that the likelihood ratio of the convolution Z = X + Y is decreasing, increasing, or constant when q < p, q > p or q = p, respectively. © 2009 Elsevier B.V. All rights reserved.
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ورودعنوان ژورنال:
- Discrete Applied Mathematics
دوره 157 شماره
صفحات -
تاریخ انتشار 2009