%0 Book Section
%T K phi divergence statistics in multinomial populations
publisher Springer
%D 2004
%U 978-3-540-22264-4
%@ https://hdl.handle.net/20.500.14352/53193
%X Asymptotic distributions of K-phi-divergence statistics are derived by either testing goodness-of-fit under symmetric null hypothesis, or composite null hypotheses when the unspecified parameters are estimated by minimum K-phi-divergence. The asymptotic chi-square null distribution and three alternative approximations to the exact distribution function of this family are considered and a new goodness-of fit statistics emerges as an alternative to Pearson's chi-square test. Test of homogeneity is also obtained.
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