Generalizations of Efron's theorem

Yannis Oudghiri

Published 2020-12-16Version 1

In this article, we prove two new versions of a theorem proven by Efron in [Efr65]. The first one generalizes the restricted Efron's theorem for random variables in the $PF_n$ class. The second one generalizes the non-restricted Efron's theorem with a stronger monotonicity assumption.