%0 Journal Article
%A Landaburu Jiménez, María Elena
%A Pardo Llorente, Leandro
%T Goodness of fit tests with weights in the classes based on (h,phi)-divergences
%D 2000
%@ 0023-5954
%U https://hdl.handle.net/20.500.14352/57552
%X The aim of the paper is to present a test of goodness of fit with weigths in the classes based on weighted (h, phi)-divergences. This family of divergences generalizes in some sense the previous weighted divergences studied by Frank et al [5] and Kapur [11]. The weighted (h, phi)-divergence between an empirical distribution and a fixed distribution is here investigated for large simple random samples, and the asymptotic distributions are shown to be either normal or equal to the distribution of a linear combination of independent chi-square variables. Some approximations to the linear combination of independent chi-square variables are presented
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