Accession Number : AD0258214

Title :   EXACT LOWER MOMENTS OF ORDER STATISTICS FOR SMALL SAMPLES FROM THE CHI-POPULATION (1.D.F.)

Corporate Author : MINNESOTA UNIV MINNEAPOLIS

Personal Author(s) : GOVINDARAJULU,ZAKKULA ; SAVAGE,I. RICHARD

Report Date : JAN 1961

Pagination or Media Count : 1

Abstract : The expected values for samples to size four and the mixed and second moments (about the origin) for samples to size five, drawn from the chipopulation (1 d.f., or with one degree of freedom) have been evaluated. Numerical values of these to eight decimal places are computed. Section 2 contains general formulae and some definite integrals used in the computation. The results in Section 3 have theoretical interest in showing the relationships between moments of order statistics from chi (1 d.f.) and the standard normal distributions. In Section 4, there is a discussion about the number of integrals required to evaluate the first, second and mixed moments of order statistics for each N, given these moments to (N-1) and the existence of the tables for the normal distribution. (Author)

Descriptors :   *STATISTICAL ANALYSIS, *STATISTICAL TESTS, INTEGRALS, NUMERICAL ANALYSIS, PROBABILITY, SAMPLING, STATISTICAL DISTRIBUTIONS, STATISTICAL FUNCTIONS, TABLES(DATA)

Distribution Statement : APPROVED FOR PUBLIC RELEASE