A consistent statistical test based on bivariate random samples

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Hacettepe Journal of Mathematics and Statistics
Volume:52 Issue:1
A consistent statistical test based on bivariate random samples

A consistent statistical test based on bivariate random samples

Authors : Ayşegül EREM, Ismihan BAYRAMOGLU

Pages : 209-228

Doi:10.15672/hujms.1031959

View : 45 | Download : 11

Publication Date : 2023-02-15

Article Type : Research Paper

Abstract :We propose a consistent test for testing the distribution of bivariate random samples. The probability of type I, type II errors and probability of making no decisions under null and alternative hypotheses are obtained based on copula functions. The consistency of the proposed test is discussed under some null and alternative hypotheses. An unbiased, consistent estimator is proposed for probability of making no decision. Moreover, a simulation study is performed for showing the consistency of the proposed test for some well-known copulas such as independent, Clayton, Gumbel, Frank and Farlie-Gumbel-Morgenstern.
Keywords : Bivariate two sample problem, bivariate order statistics, copula, hypothesis test, consistent tests

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