%0 Journal Article
%A Pérez, T.
%A Pardo Llorente, Julio Ángel
%T Asymptotic approximations for the distributions of the K phi-divergence goodness-of-fit statistics
%D 2003
%@ 0932-5026
%U https://hdl.handle.net/20.500.14352/50291
%X K-phi-divergence's, statistic family for goodness-of-fit, under the null hypothesis, has an asymptotic chi-squared distribution; however, for small samples, the chi-squared approximation in some cases does not well agree with the exact distribution. In this paper, a closer approximation to the exact distribution is obtained by extracting the phi-dependent second order component from the distribution. Moreover, numerical results are presented for moderate sample sizes with moderate number of cells.
%~