ABSTRACT
Let X 1, X 2, …, X n denote a random sample from a population with continuous cdf F X , 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 X 1, X 2, …, X n ; 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/9781315110479/e7c29fd7-a190-4d6c-a6a1-ecc3d4c4b563/content/TNF-CH002_eqn_0001.tif"/>
