Some bivariate Bessel distributions

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摘要

We introduce four bivariate Bessel distributions based on a characterizing property involving linear combinations of chi-squared random variables. Some of these distributions turn out to be multi-modal. We derive various representations for their joint densities and product moments. We also discuss ways to construct multivariate generalizations.

论文关键词:Bessel function distribution of the first kind,Bessel function distribution of the second kind,Bivariate Bessel distributions,Chi-squared random variables,Multivariate Bessel distributions

论文评审过程:Available online 6 October 2006.

论文官网地址:https://doi.org/10.1016/j.amc.2006.08.130