Accession Number : AD0747235

Title :   On Moments of Order Statistics from Independent Binomial Populations,

Descriptive Note : Technical rept.

Corporate Author : PURDUE UNIV LAFAYETTE IND DEPT OF STATISTICS

Personal Author(s) : Gupta,Shanti S. ; Panchapakesan,S.

Report Date : 12 JUL 1972

Pagination or Media Count : 26

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)

Descriptors :   (*STATISTICAL ANALYSIS, PROBLEM SOLVING), PROBABILITY, MOMENTS, RANDOM VARIABLES, POPULATION(MATHEMATICS), TABLES(DATA)

Subject Categories : Statistics and Probability

Distribution Statement : APPROVED FOR PUBLIC RELEASE