Publication: K phi divergence statistics in multinomial populations
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Publication Date
2004
Authors
Pérez, Teresa
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Springer
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Abstract
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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2nd International Conference on Soft Methods in Probability and Statistics (SMPS 2004) SEP 02, 2004-SEP 04, 2007
Oviedo, SPAIN