Resumen de Comparison of likelihood divergence estatics for testing hypotheses in familial data
Tomas Hobza, Isabel Molina Peralta, Domingo Morales González
For testing composite hypotheses in parametric models, Rényi test statistics are defined as Rényi divergences between nonrestricted and restricted estimated joint probability density functions. This family of statistics is proposed to test the equality of intraclass correlation coefficients in multivariate normal familial data. When maximum likelihood estimators of parameters are plugged in, the asymptotic distribution of these test statistics under the null hypothesis is obtained. Rényi statistics are compared here with likelihood ratio test statistic (LRT) in terms of sizes and powers of the tests.
