In this paper, through a series of specific examples, we illustrate some characteristics encountered in analyzing high dimensional multispectral data. The increased importance of the second order statistics in analyzing high dimensional data is illustrated, as is the shortcoming of classifiers such as the minimum distance classifier which rely on first order variations alone. We also illustrate...

Let X(i) < • • • < X(^) be the order statistics from n independent nonidentically distributed exponential random variables. We investigate the dependence structure of these order statistics, and provide a distributional identity that facilitates their simulation and the study of their moment properties. Next, we consider the partial sum Ti — Yl^=i^i ^{j)'> 0 < i < n — 1. We obtain an explicit e...

in the literature of life-testing, general progressive censoring has been studied extensively. but, all the results have been developed under the key assumption that the units undertest are independently distributed. in this paper, we study general progressively type-ii censored order statistics arising from identical units under test which are jointly distributed according to an archimedean co...