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