The study of stochastic comparisons and order statistics forms an integral part of probability theory and statistical modelling. At its core, stochastic comparison provides a rigorous framework for ...

Extropy has emerged as a pivotal measure in the quantification of uncertainty, serving as a complementary counterpart to the traditional concept of entropy. Unlike entropy, which is widely used to ...

Let X1, X2, ⋯, Xn be a sample of a one-dimensional random variable X; let the order statistic T(X1, X2, ⋯, Xn) be defined in such a manner that T(x1, x2, ⋯, xn) = (x(1), x(2), ⋯, x(n)) where x(1) ≤ ...

The purpose of the Institute of Mathematical Statistics (IMS) is to foster the development and dissemination of the theory and applications of statistics and probability. The Institute was formed at a ...