TRANSFORMATIONS FOR 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...

Robust Statistics for Multivariate Methods

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...

Multivariate scan statistics for disease surveillance.

In disease surveillance, there are often many different data sets or data groupings for which we wish to do surveillance. If each data set is analysed separately rather than combined, the statistical power to detect an outbreak that is present in all data sets may suffer due to low numbers in each. On the other hand, if the data sets are added by taking the sum of the counts, then a signal that...

Applied Multivariate Statistics for Ecological Data ECO632

Background. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1 Provided Data Set. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2 Exercise. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ...