THE PROBABILITY THAT THE SAMPLE DISTRIBUTION FUNCTION LIES BETWEEN TWO PARALLEL STRAIGHT LINES.
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)
Document Details
- Document Type
- Technical Report
- Publication Date
- Apr 30, 1967
- Accession Number
- AD0654484
Entities
People
- J. Durbin
Organizations
- University of Washington