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 ...

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) ≤ ...

We study stochastic orders and dependence relations between order statistics from a linearly ordered finite population when using either simple random sampling without replacement (SRSWOR) or Midzuno ...