Two question on Binomial distribution and log-concave?

Asked Jan 22 '17 at 13:35

Active Jan 22 '17 at 14:23

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I'm looking for a proof that the density of the Binomial Distribution is discrete log-concave. I found many mentions of it but couldn't find a complete proof.

In addition, Can I say that $f(x)=\mathbb{P}(\text{Bin}(n,p)\geq x)$ is also log-concave?

Thanks!

edited Jan 22 '17 at 14:23

LinAlg

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asked Jan 22 '17 at 13:35

MoRkO

1

can you show your attempt? – LinAlg Jan 22 '17 at 14:09
1

Have a look at (http://math.stackexchange.com/questions/834786/log-concavity-of-binomial-coefficients-binomnk2-geq-binomnk-1-bin) – Jean Marie Jan 22 '17 at 14:12

Two question on Binomial distribution and log-concave?

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