Accession Number : AD0737638

Title :   A Note on Optimal Spacings for Systematic Statistics.

Descriptive Note : Technical rept.,

Corporate Author : STANFORD UNIV CALIF DEPT OF STATISTICS

Personal Author(s) : Chernoff,Herman

Report Date : 15 NOV 1971

Pagination or Media Count : 15

Abstract : Let X(1), X(2),...,X(n) be the order statistics from a large sample of n independent identically distributed random variables with unknown scale and location parameters. Linear unbiased estimates of these parameters can be constructed using k order statistics, where the orders are approximately (lambda(1)n), (lambda(k)n) for specified lambda(1), lambda(2),...,lambda(k). As k approaches infinity let the number of lambda(i) in an interval be proportional to a density function f. Then one may select f to yield approximately optimal spacings (i.e., choice of lambda(i)). The study is carried out for estimating the mean of a normal distribution with known variance. (Author)

Descriptors :   (*STATISTICAL DISTRIBUTIONS, MATHEMATICAL PREDICTION), (*SAMPLING, MATHEMATICAL PREDICTION), RANDOM VARIABLES, APPROXIMATION(MATHEMATICS), ASYMPTOTIC SERIES

Subject Categories : Statistics and Probability

Distribution Statement : APPROVED FOR PUBLIC RELEASE