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Chi-Squared Goodness of Fit Tests with Applications by M.S Nikulin, Vassilly Voinov, N. Balakrishnan

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Chapter 9

Chi-Squared Tests for Specific Distributions

9.1 Tests for Poisson, binomial, and “binomial” approximation of Feller’s distribution

Let image be independent and identically distributed random variables. Consider the problem of testing the composite hypothesis image according to which the distribution of image is a member of a parametric family with the Poisson distribution

(9.1)

Let be the observed frequencies meaning the number of realized values of ...

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