. . "328040" . . . . "Hobza, Tom\u00E1\u0161" . . "Brazilian Journal of Probability and Statistics" . . . . . "P(1M0572), Z(AV0Z10750506)" . "3"^^ . "23" . "This paper focuses on testing composite hypotheses about parameters of s independent samples of different sizes. With this purpose, it introduces test statistics based on the family of R\u00E9nyi divergences between likelihoods. The asymptotic distributions of the proposed test statistics and of the likelihood ratio statistic are derived under standard regularity assumptions. An application to test the homogeneity of variances in data from families belonging to different populations is described and, under this setup, a simulation experiment compares the small sample performance of the likelihood ratio test and some members of the R\u00E9nyi family of tests. The experiment indicates that some of the R\u00E9nyi tests perform better under null hypothesis." . "BR - Brazilsk\u00E1 federativn\u00ED republika" . "Multi-sample R\u00E9nyi test statistics" . "This paper focuses on testing composite hypotheses about parameters of s independent samples of different sizes. With this purpose, it introduces test statistics based on the family of R\u00E9nyi divergences between likelihoods. The asymptotic distributions of the proposed test statistics and of the likelihood ratio statistic are derived under standard regularity assumptions. An application to test the homogeneity of variances in data from families belonging to different populations is described and, under this setup, a simulation experiment compares the small sample performance of the likelihood ratio test and some members of the R\u00E9nyi family of tests. The experiment indicates that some of the R\u00E9nyi tests perform better under null hypothesis."@en . "1"^^ . "Molina, I." . . "20"^^ . . "R\u00E9nyi divergence; divergence statistics; testing composite hypotheses; homogeneity of variances"@en . . . "RIV/67985556:_____/09:00332426!RIV10-MSM-67985556" . "Multi-sample R\u00E9nyi test statistics"@en . "Multi-sample R\u00E9nyi test statistics" . . . "Morales, D." . "Multi-sample R\u00E9nyi test statistics"@en . "RIV/67985556:_____/09:00332426" . "[FAAA00529D93]" . "0103-0752" . . . "2" .