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 ...

The normal distribution (also known as the Gaussian distribution) is arguably the most important distribution in Statistics. It is often used to represent continuous random variables occurring in ...

Journal of the Royal Statistical Society. Series C (Applied Statistics), Vol. 28, No. 1 (1979), pp. 62-72 (11 pages) In this article, a distribution theory is developed to explain a fairly ...

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 ...