Independence of Likelihood Ratio Criteria for Homogeneity of Several Populations |
| |
Authors: | Takesi Hayakawa |
| |
Institution: | (1) Faculty of Economics, Hitotsubashi University, Kunitachi, Tokyo, 186-8601, Japan |
| |
Abstract: | Let
i
be an i-tb population with a probability density function f(· |
i
) with one dimensional unknown parameter
i
= 1, 2, ... , k. Let n
i sample be drawn from each
i
. The likelihood ratio criteria
j|(j–1) for testing hypothesis that the first j parameters are equal against alternative hypothesis that the first (j – 1) parameters are equal and the j-th parameter is different with the previous ones are defined, j = 2, 3, ... , k. The paper shows the asymptotic independence of
j|(j–1)'s up to the order 1/n under a hypothesis of equality of k parameters, where n is a number of total samples. |
| |
Keywords: | Likelihood ratio criterion asymptotic expansion homogeneity of parameters asymptotic independence |
本文献已被 SpringerLink 等数据库收录! |
|