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 conditions on the underlying distribution functions and the parameters on which GOSs are based, to establish Shaked-Shanthikumar multivariate dispersive ordering of GOSs from one sample and Khaledi-Kochar multivar...

Scatter matrices generalize the covariance matrix and are useful in many multivariate data analysis methods, including well-known principal component (PCA), which is based on diagonalization of matrix. The simultaneous two or more scatter goes beyond PCA used often. In this paper, we offer an overview methods that a joint diagonalization. These range from unsupervised context with invariant coo...

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.

A precise characterization of substances is essential for the safe handling explosives. One parameter regularly characterized impact sensitivity. This typically determined using a drop hammer. However, results can vary depending on test method and even operator, it not possible to distinguish type decomposition such as detonation deflagration. study monitors reaction progress by constructing ha...