Abstract
AbstractLet Xi be the number of outcomes in class Ci, i = 0,…,k, during n independent possibly non‐identical trials. If class C0 has high probability we show {Xi}ki=1 can be approximated by {Yi}ki=1 a sequence of independent Poisson random variables with ℰXi=ℰYi. A bound on the error is given. The result is an extension of Hodges and LeCam's (1960) Poisson‐binomial approximation. Applications to goodness of fit and to the sign test are given.
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