
Accession Number : AD0654484
Title : THE PROBABILITY THAT THE SAMPLE DISTRIBUTION FUNCTION LIES BETWEEN TWO PARALLEL STRAIGHT LINES.
Descriptive Note : Technical rept.,
Corporate Author : WASHINGTON UNIV SEATTLE LAB OF STATISTICAL RESEARCH
Personal Author(s) : Durbin,J.
Report Date : 30 APR 1967
Pagination or Media Count : 30
Abstract : Suppose that O < Xl < . . . < Xn < l is an ordered sample from the uniform distribution on (O,l), and Fn(x) the corresponding empirical distribution function. Let S be the sample path of Fn(x) as x moves from O to l. In this paper we consider the probability pn(a,b,c) that S lies entirely in the region between the lines ny = a + (n+c)x and ny =  b + (n+c)x, a > O, b > O. (Author)
Descriptors : (*DISTRIBUTION FUNCTIONS, STATISTICAL ANALYSIS), SAMPLING, STATISTICAL FUNCTIONS, DIFFERENCE EQUATIONS, MATHEMATICS, INEQUALITIES, DETERMINANTS(MATHEMATICS)
Subject Categories : Statistics and Probability
Distribution Statement : APPROVED FOR PUBLIC RELEASE