A test of location for exchangeable multivariate normal data with unknown correlation

Multivariate Frailty Models for Exchangeable Survival Data with Covariates

We consider a multivariate lognormal frailty model for correlated exchangeable failure time data, where the marginal lifetimes have conditional Weibull distributions. We discuss Bayesian statistical methods to fit this model to experimental data with varying cluster sizes. The Bayesian inferential approach arises naturally from the hierarchical structure of the frailty model. In contrast, imple...

Screening for a Multivariate Mixture Normal Distribution

HYPOTHESIS TESTING FOR AN EXCHANGEABLE NORMAL DISTRIBUTION

Consider an exchangeable normal vector with parameters ????2, and ?. On the basis of a vector observation some tests about these parameters are found and their properties are discussed. A simulation study for these tests and a few nonparametric tests are presented. Some advantages and disadvantages of these tests are discussed and a few applications are given.

A multivariate uniformity test for the case of unknown support

A test for the hypothesis of uniformity on a support S ⊂ R is proposed. It is based on the use of multivariate spacings as those studied in Janson (1987). As a novel aspect, this test can be adapted to the case that the support S is unknown, provided that it fulfils the shape condition of λ-convexity. The consistency properties of this test are analyzed and its performance is checked through a ...

Outlier test for a group of multivariate observations

Assume that we have m independent random samples each of size n from Np(; ) and our goal is to test whether or not the ith sample is an outlier (i=1,2,…..m). To date it is well known that a test statistics exist whose null distribution is Betta and given the relationship between Betta and F distribution, an F test statistic can be used. In the statistical literature however a clear and preci...