Robbins lemma

From Wikipedia, the free encyclopedia
Jump to navigation Jump to search

In statistics, the Robbins lemma, named after Herbert Robbins, states that if X is a random variable having a Poisson distribution with parameter λ, and f is any function for which the expected value E(f(X)) exists, then[1]

Robbins introduced this proposition while developing empirical Bayes methods.


  1. ^ Samaniego, Francisco J. (2015), Stochastic Modeling and Mathematical Statistics: A Text for Statisticians and Quantitative Scientists, CRC Press, p. 118, ISBN 9781466560475.