As is well known, the normal distribution is a key tool in probability and statistics. It can be described as a distribution that obeys a universal rule derived from one of the most important theorems ...

Generalized order statistics provide a unifying framework that extends beyond conventional order statistics by encompassing record values, sequential order statistics, and other related types of ...

where \(\mathsf{G}(\cdot)\) is some convex operator and \(\mathcal{F}\) is as set of feasible input distributions. Examples of such an optimization problem include finding capacity in information ...

A class of statistics is considered, which are based on order-statistics and have properties analogous to Student's t. They can be used to estimate a required quantile of a random variable or to test ...

Sankhyā: The Indian Journal of Statistics, Series B (1960-2002), Vol. 52, No. 2 (Aug., 1990), pp. 133-143 (11 pages) The noncentral Wishart distribution arises in various areas of multivariate ...