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K phi divergence statistics in multinomial populations



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Pérez, Teresa and Pardo Llorente, Julio Ángel (2004) K phi divergence statistics in multinomial populations. In Soft Methodology and Random Information Systems. Advances in Intelligent and Soft Computing (26). Springer, Berlín, pp. 323-330. ISBN 978-3-540-22264-4

Official URL: http://www.springer.com/engineering/computational+intelligence+and+complexity/book/978-3-540-22264-4


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.

Item Type:Book Section
Additional Information:

2nd International Conference on Soft Methods in Probability and Statistics (SMPS 2004) SEP 02, 2004-SEP 04, 2007
Oviedo, SPAIN

Uncontrolled Keywords:Of-fit tests; Asymptotic normality; Goodness
Subjects:Sciences > Mathematics > Mathematical statistics
ID Code:17988
Deposited On:25 Jan 2013 10:19
Last Modified:25 Jan 2013 10:19

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