Distribution of the LR criterion Up,m,n as a marginal distribution of a generalized Dirichlet model
Seemon Thomas, Alex Thannippara · DOAJ (DOAJ: Directory of Open Access Journals) · 2013
The density of the likelihood ratio criterion Up,m,n is expressed in terms of a marginal density of a generalized Dirichlet model having a specific set of parameters. The exact distribution of the likelihood ratio criterion so obtained has a very simple and general format for every p . It provides an easy and direct method of computation of the exact p -value of Up,m,n . Various types of properties and relations involving hypergeometric series are also established.