On the Distribution of a Trace of a Multivariate Quadratic Form in the Multivariate Normal Samples
نویسنده
چکیده
This paper considers the derivation of the p.d.f. of the trace of a non-central multivariate quadratic form using a polynomial P (T,A) defined by Ie the author and compares with the results of Katz et al and Ruben. The come plex case is also discussed.
منابع مشابه
On the Canonical-Based Goodness-of-fit Tests for Multivariate Skew-Normality
It is well-known that the skew-normal distribution can provide an alternative model to the normal distribution for analyzing asymmetric data. The aim of this paper is to propose two goodness-of-fit tests for assessing whether a sample comes from a multivariate skew-normal (MSN) distribution. We address the problem of multivariate skew-normality goodness-of-fit based on the empirical Laplace tra...
متن کاملOn the non-parametric multivariate control charts in fuzzy environment
Multivariate control chats are generally used in situations where the simultaneous monitoring or control of two or more related quality characteristics is necessary. In most processes in the real world, distribution of the process characteristics are unknown or at least non-normal, so the non-parametric or distribution-free charts are desirable. Most non-parametric statistical process-control t...
متن کاملOn Exponential Power Distribution And Poultry Feeds Data: A Case Study
Abstract. In this paper, we propose to study a generalized form of the exponential power distribution which contains others in the literature as special cases. This unifying exponential power distribution is characterized by a parameter ω and a function h(ω) which regulates the tail behavior of the distribution, thus making it more flexible and suitable for modeling than the usual normal di...
متن کاملOn the multivariate process capability vector in fuzzy environment
The production of a process is expected to meet customer demands, specifications or engineering tolerances. The ability of a process to meet these expectations is expresed as a single number using a process capability index. When the quality of the products relates to more than one characteristic, multivariate process capability indices are applied. As it is known, in some circumstances we are ...
متن کاملON AN INDEPENDENT RESULT USING ORDER STATISTICS AND THEIR CONCOMITANT
Let X1;X2;...;Xn have a jointly multivariate exchangeable normal distribution. In this work we investigate another proof of the independence of X and S2 using order statistics. We also assume that (Xi ; Yi); i =1; 2;...; n; jointly distributed in bivariate normal and establish the independence of the mean and the variance of concomitants of order statistics.
متن کامل