Landaburu Jiménez, María ElenaPardo Llorente, Leandro2023-06-202023-06-2020000023-5954https://hdl.handle.net/20.500.14352/57552The 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 presentedengjournal articlehttp://dml.cz/bitstream/handle/10338.dmlcz/135373/Kybernetika_36-2000-5_6.pdfhttp://dml.cz/restricted access519.7DivergenceEstadística matemática (Matemáticas)1209 Estadística