%0 Journal Article %A Morales González, Domingo %A Pardo Llorente, Leandro %A Vadja, Igor %T Asymptotic laws for disparity statistics in product multinomial models %D 2003 %@ 0047-259X %U https://hdl.handle.net/20.500.14352/50313 %X The paper presents asymptotic distributions of phi-disparity goodness-of-fit statistics in product multinomial models, under hypotheses and alternatives assuming sparse and nonsparse cell frequencies. The phi-disparity statistics include the power divergences of Read and Cressie (Goodness-of-fit Statistics for Discrete Multivariate Data, Springer, New York, 1988), the phi-divergences of Ciszar (Studia Sci. Math. Flungar. 2 (1967) 299) and the robust goodness of fit statistics of Lindsay (Ann. Statist. 22 (1994) 1081). %~