45 votes for Jensen’s inequality

Following a question on X validated as to why the mean of the log of a uniform distribution is not log(0.5), I replied with the obvious link to Jensen’s inequality and the more general if equally obvious remark that expectation was rarely invariant under transforms and ended up with an high number of up-votes on that answer. Which bemuses me given the basic question and equally basic answer..!

Leave a Reply

Discover more from Xi'an's Og

Subscribe now to keep reading and get access to the full archive.

Continue reading