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) ≤ ...

This paper deals with the order statistics from the normal distribution. Equations are obtained for the percentage points and the modal values of the kth order statistic in a sample of size n. Table I ...