Characterizations of Multivariate Normal-Poisson Model

Authors
1 Lampung University, Bandar Lampung, Indonesia.
2 University of Franche-Comté, Besancon, France.
3 Bogor Agricultural University, Bogor, Indonesia.
Abstract
‎Multivariate normal-Poisson model has been recently introduced as a special case of normal stable Tweedie models‎. ‎The model is composed of a univariate Poisson variable‎, ‎and the remaining variables given the Poisson one are independent Gaussian variables with variance the value of the Poisson component‎. ‎Two characterizations of this model are shown‎, ‎first by variance function and then by generalized variance function which is the determinant of the variance function‎. ‎The latter provides an explicit solution of a particular Monge-Ampère equation.
Keywords

Volume 14, Issue 2
December 2015
Pages 37-52

  • Receive Date 23 July 2022