KK-theory: Difference between revisions
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en>Mct mht →Properties: inner -> approximately inner |
en>Wurzel33 The disambiguation is resolved by linking to "ideal" because that concept is closest to that of a C*-algebraic extension - the latter is just a self-adjoint closed ideal in a C*-algebra. |
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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 | |||
: <math> \operatorname{E}(X f(X - 1)) = \lambda \operatorname{E}(f(X)). \,</math> | |||
Robbins introduced this proposition while developing [[empirical Bayes method]]s. | |||
[[Category:Statistical theorems]] | |||
[[Category:Lemmas]] | |||
[[Category:Poisson processes]] | |||
Revision as of 16:18, 29 November 2013
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
Robbins introduced this proposition while developing empirical Bayes methods.