A Bivariate Sign Test

On the matched pairs sign test using bivariate ranked set sampling: an application to environmental issues

The matched pairs sign test using bivariate ranked set sampling (BVRSS) is introduced and investigated. We show that this test is asymptotically more efficient than its counterpart sign test based on a bivariate simple random sample (BVSRS). The asymptotic null distribution and the efficiency of the test are derived. The Pitman asymptotic relative efficiency is used to compare the asymptotic pe...

The statistical sign test.

Test of symmetry for semiparametric bivariate copula

The copula function is a multivariate distribution whose marginal distributions are uniformly distributed on the interval [0,1], this function called copula that ties the joint and the margins together. One important class of copula models is that of semiparametric copula models. In this paper, a semiparametric copula and its properties are introduced also a test of symmetry for semiparametric ...

Multivariate Longitudinal Analysis with Bivariate Correlation Test

In the context of multivariate multilevel data analysis, this paper focuses on the multivariate linear mixed-effects model, including all the correlations between the random effects when the dimensional residual terms are assumed uncorrelated. Using the EM algorithm, we suggest more general expressions of the model's parameters estimators. These estimators can be used in the framework of the mu...

A stable test for strict sign regularity

A stable test to check if a given matrix is strictly sign regular is provided. Among other nice properties, we prove that it has an optimal growth factor. The test is compared with other alternative tests appearing in the literature, and its advantages are shown.