On Moments of Order Statistics from Independent Binomial Populations,
Abstract
The paper deals with order statistics from the binomial distribution. Let X(i)(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 X(i) be arranged in order to give X(1)<or=X(2)<or=...<or= X(M). The discrete variable X(i) 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(l) 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. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Jul 12, 1972
- Accession Number
- AD0747235
Entities
People
- S. Panchapakesan
- Shanti Gupta
Organizations
- Purdue University