Log-concavity and the maximum entropy property of the Poisson distribution
نویسندگان
چکیده
منابع مشابه
Log-concavity and the maximum entropy property of the Poisson distribution
We prove that the Poisson distribution maximises entropy in the class of ultralog-concave distributions, extending a result of Harremoës. The proof uses ideas concerning log-concavity, and a semigroup action involving adding Poisson variables and thinning. We go on to show that the entropy is a concave function along this semigroup. 1 Maximum entropy distributions It is well-known that the dist...
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ژورنال
عنوان ژورنال: Stochastic Processes and their Applications
سال: 2007
ISSN: 0304-4149
DOI: 10.1016/j.spa.2006.10.006