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 ...

The Canadian Journal of Statistics / La Revue Canadienne de Statistique, Vol. 6, No. 1 (1978), pp. 49-56 (8 pages) An asymptotic expansion is given for the distribution of the α-th largest latent root ...

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 ...

Sankhyā: The Indian Journal of Statistics, Series A (1961-2002), Vol. 49, No. 1 (Feb., 1987), pp. 17-23 (7 pages) In this paper we discuss the differential geometric properties induced by the ...