Multivariate Statistics

Multivariate Dispersive Ordering of Generalized Order Statistics

The concept of generalized order statistics (GOSs) was introduced as a unified approach to a variety of models of ordered random variables. The purpose of this paper is to investigate condi- tions on the underlying distribution functions and the parameters on which GOSs are based, to establish Shaked-Shanthikumar multivari- ate dispersive ordering of GOSs from one sample and Khaledi-Kochar mu...

Computing Multivariate Statistics

Many multivariate statistics are expressed as functions of the hypergeometric function of a matrix argument, or more generally, as series of Jack functions. This work is a collection of formulas, identities, and algorithms useful for the computations of these statistics in practice. Numerical examples are presented. 1. Definitions 1.1. Partitions and hook lengths. For an integer k ≥ 0 we say th...

Robust Statistics for Multivariate Methods

Descent Representations and Multivariate Statistics

Combinatorial identities on Weyl groups of types A and B are derived from special bases of the corresponding coinvariant algebras. Using the Garsia-Stanton descent basis of the coinvariant algebra of type A we give a new construction of the Solomon descent representations. An extension of the descent basis to type B, using new multivariate statistics on the group, yields a refinement of the des...

A First Course in Multivariate Statistics

In undergoing this life, many people always try to do and get the best. New knowledge, experience, lesson, and everything that can improve the life will be done. However, many people sometimes feel confused to get those things. Feeling the limited of experience and sources to be better is one of the lacks to own. However, there is a very simple thing that can be done. This is what your teacher ...