Power Comparison of Independence Test for the Farlie-Gumbel-Morgenstern Family Amini, M.; Jabbari, H.; Mohtashami Borzadaran, G.R.; Azadbakhsh, M.;
Developing a test for independence of random variables X and Y against the alternative has an important role in statistical inference. Kochar and Gupta (1987) proposed a class of tests in view of Block and Basu (1974) model and compared the powers for sample sizes n = 8, 12. In this paper, we evaluate Kochar and Gupta (1987) class of tests for testing independence against quadrant dependence in absolutely continuous bivariate Farlie-Gambel-Morgenstern distribution, via a simulation study for sample sizes n = 6, 8, 10, 12, 16 and 20. Furthermore, we compare the power of the tests with that proposed by Guven and Kotz (2008) based on the asymptotic distribution of the test statistics.
Negative and positive quadrant dependence;Farlie-Gambel-Morgenstern distribution;U-Statistics;
Aspects of Dependence in Generalized Farlie-Gumbel-Morgenstern Distributions, Communications in Statistics - Simulation and Computation, 2011, 40, 8, 1192
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