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- W2053008663 abstract "The generating function g(t) of the Poisson distribution with parameter λ is the only generating function satisfying the differential equation g′(t) = λg(t). Denoting by gn(t) the empirical generating function of a random sample X1,…, Xn of size n drawn from a distribution concentrated on the nonnegative integers, we propose Tn = n∫01[Xgn(t)− g′n(t)]2 dt as a goodness of fit statistic for the composite hypothesis that the distribution of Xi is Poisson. Using a parametric bootstrap to have a critical value, and estimating this in turn by Monte Carlo the resulting test is shown to be consistent against alternative distributions with finite expectation." @default.
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- W2053008663 date "1992-03-01" @default.
- W2053008663 modified "2023-10-03" @default.
- W2053008663 title "A goodness of fit test for the Poisson distribution based on the empirical generating function" @default.
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- W2053008663 doi "https://doi.org/10.1016/0167-7152(92)90033-2" @default.
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