ABSTRACT
Let X 1,X 2, …, Xn denote a random sample from a population with continuous cdf FX . First let FX be continuous, so that the probability is zero that any two or more of these random variables have equal magnitudes. In this situation there exists a unique ordered arrangement within the sample. Suppose that X (1) denotes the smallest of the set X 1,X 2, …,Xn ; X (2) denotes the second smallest; … and X (n) denotes the largest. Then X ( 1 ) < X ( 2 ) < … < X ( n ) https://s3-euw1-ap-pe-df-pch-content-public-p.s3.eu-west-1.amazonaws.com/9780203911563/4aee2b7e-4c1a-4282-8d9e-64e6349e54c1/content/eq119.tif"/>
