How to cite:
Novoa-Muñoz, F.; González-Albornoz, P. Goodness-of-fit Test for the Bivariate Hermite Distribution. Preprints2020, 2020100016. https://doi.org/10.20944/preprints202010.0016.v1
Novoa-Muñoz, F.; González-Albornoz, P. Goodness-of-fit Test for the Bivariate Hermite Distribution. Preprints 2020, 2020100016. https://doi.org/10.20944/preprints202010.0016.v1
Novoa-Muñoz, F.; González-Albornoz, P. Goodness-of-fit Test for the Bivariate Hermite Distribution. Preprints2020, 2020100016. https://doi.org/10.20944/preprints202010.0016.v1
APA Style
Novoa-Muñoz, F., & González-Albornoz, P. (2020). Goodness-of-fit Test for the Bivariate Hermite Distribution. Preprints. https://doi.org/10.20944/preprints202010.0016.v1
Chicago/Turabian Style
Novoa-Muñoz, F. and Pablo González-Albornoz. 2020 "Goodness-of-fit Test for the Bivariate Hermite Distribution" Preprints. https://doi.org/10.20944/preprints202010.0016.v1
Abstract
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.
Keywords
Bivariate Hermite distribution; Goodness-of-fit; Empirical probability generating function; Bootstrap distribution estimator
Subject
Computer Science and Mathematics, Algebra and Number Theory
Copyright:
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
