A result on hypothesis testing for a multivariate normal distribution when some observations are missing

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.

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.

screening for a multivariate mixture normal distribution

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...