A model for random $n \times k$ matrices $X$ is considered. The elements $X_{ij}$ are assumed to be independent and Poisson-distributed random variables with means $\alpha_i\exp(\gamma t'_{ij})$, where $t_{ij}$ are known $m$-dimensional vectors and $(\alpha, \gamma)$ is an unknown parameter. A goodness-of-fit test is proposed and an approximation is derived when the number $n$ of rows is large.
@article{1176345512,
author = {Svensson, Ake},
title = {On a Goodness-of-Fit Test for Multiplicative Poisson Models},
journal = {Ann. Statist.},
volume = {9},
number = {1},
year = {1981},
pages = { 697-704},
language = {en},
url = {http://dml.mathdoc.fr/item/1176345512}
}
Svensson, Ake. On a Goodness-of-Fit Test for Multiplicative Poisson Models. Ann. Statist., Tome 9 (1981) no. 1, pp. 697-704. http://gdmltest.u-ga.fr/item/1176345512/