Geodesic
Choosing the best $\phi$-divergence goodness-of-fit statistic in multinomial sampling with linear constraints
Kybernetika, Tome 42 (2006) no. 6, pp. 711-722.

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In this paper we present a simulation study to analyze the behavior of the $\phi $-divergence test statistics in the problem of goodness-of-fit for loglinear models with linear constraints and multinomial sampling. We pay special attention to the Rényi’s and $I_{r}$-divergence measures.
Classification : 62B10, 62F03, 62F30, 62G10, 62H15, 62H17, 65C60
Keywords: multinomial sampling; restricted maximum likelihood estimator; goodness-of-fit; $I_r$-divergence measure; Rényi’s divergence measure 
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     title = {Choosing the best $\phi$-divergence goodness-of-fit statistic in multinomial sampling with linear constraints},
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     zbl = {1245.62011},
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Martin, Nirian; Pardo, Leandro. Choosing the best $\phi$-divergence goodness-of-fit statistic in multinomial sampling with linear constraints. Kybernetika, Tome 42 (2006) no. 6, pp. 711-722. http://geodesic.mathdoc.fr/item/KYB_2006__42_6_a5/