ORDER STATISTICS ARISING FROM INDEPENDENT BINOMIAL POPULATIONS,
Abstract
This paper deals with order statistics from the binomial distribution. Let Xi (i=1,2,. . .,M) be the number of successes in N independent trials from a binomial distribution with p as the probability of success, in each trial. Let Xi be arranged in order to give X(1) = or < X(2) = or < . . . = or < X(M). The discrete variable Xi or X(i) take values 0,1,. . .,N(i-1,. . .,M). Tables are provided giving the cumulative distribution and the expected value and variance of X(1) and X(M). Joint distribution of X(i) and X(j) is obtained. The distribution of X(j)-X(i) (j>i) is also derived and special cases are studied. Some applications are described. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Sep 01, 1967
- Accession Number
- AD0659164
Entities
People
- S. Panchapakesan
- Shanti Gupta
Organizations
- Purdue University