Goodness-of-fit test for the bivariate Hermite distribution

11/27/2019

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by   Pablo González-Albornoz, et al.

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This paper studies the goodness of fit test for the bivariate Hermite distribution. Specifically, we propose and study a Cramér-von Mises-type test based on the empirical probability generation function. The bootstrap can be used to consistently estimate the null distribution of the test statistics. A simulation study investigates the goodness of the bootstrap approach for finite sample sizes.