Decoupling (probability)

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In probability and statistics, decoupling is a reduction of a sample statistic to an average of the statistic evaluated on several independent sequences of the random variable. This sum, conditioned on all but one of the independent sequences becomes a sum of independent random variables. Decoupling is used in the study of U statistics, where decoupling should not be confused with Hoeffding's decomposition, however.[1] (Such "decoupling" is unrelated to the use of "couplings" in the study of stochastic processes.)


  1. ^ Victor H. de la Peña and Evariste Giné (1999). Decoupling: From Dependence to Independence. Springer Verlag. ISBN 978-0-387-98616-6.