%0 Journal Article
%A Menéndez Calleja, María Luisa
%A Morales González, Domingo
%A Pardo Llorente, Leandro
%A Vadja, Igor
%T Asymptotic distributions of phi-divergences of hypothetical and observed frequencies on refined partitions
%D 1988
%@ 0039-0402
%U https://hdl.handle.net/20.500.14352/57875
%X For a wide class of goodness-of-fit statistics based on phi-divergences between hypothetical cell probabilities and observed relative frequencies, the asymptotic normality is established under the assumption n/m(n) --> gamma is an element of (0, infinity), where n denotes sample size and m(n) the number of cells. Related problems of asymptotic distributions of phi-divergence errors, and of phi-divergence deviations of histogram estimators from their expected values, are considered too.
%~