This paper introduces a family of multivariate symmetric distributions, which includes the one with i.i.d. exponential components as its special member. This family, denoted by Fn, is defined as scale mixtures of the uniform distribution on the surface of the l1 unit sphere and studied from...

In this paper, the problem of estimation of scale matrix is considered under entropy loss, quadratic loss and squared error loss. With respect to entropy and quadratic loss, we obtain the best estimator of [Sigma] having the form [alpha]Sx as well as having the form Tx[Delta]Tx', where Sx, Tx...

This paper addresses the problem of testing for a multivariate distribution, which belongs to a known parametric distribution family. The estimated Crámer-Von Mises-type test statistics are constructed using projection pursuit technique. Some interested properties of the test statistics, like...

In this paper we are concerned with Bayesian statistical inference for a class of elliptical distributions with parameters[mu]and[Sigma]. Under a noninformative prior distribution, we obtain the posterior distribution, posterior mean, and generalized maximim likelihood estimators...

Monte Carlo Methoden haben sich auf vielen Gebieten der Statistik und Ökonometrie als wertvolles Instrument erwiesen. Die übliche Verwendung von Pseudozufallszahlen führt dazu, daß der Zusammenhang zwischen einem allgemeinen Zufallsbegriff und der Anwendung in Monte Carlo Verfahren eher ein...

We give a characterization for orthogonal arrays of strength two in terms of D-optimality under a multiple regression model with continuous factor levels.