Accession Number : AD0749699

Title :   Large Sample Tests for the Monotonicity of a Generalized Failure Rate Function.

Descriptive Note : Technical rept.,

Corporate Author : FLORIDA STATE UNIV TALLAHASSEE DEPT OF STATISTICS

Personal Author(s) : Gregory,Gavin

Report Date : JUL 1972

Pagination or Media Count : 37

Abstract : The generalized failure rate function of a distribution function F(density f) with respect to a distribution function G (density g) is f(x)/ gG sup(-1) (F(x)), for x such that O>F(x)>1. Given a distribution function G and a random sample from a distribution function F the author considers tests of the null hypothesis that the generalized failure rate function of F with respect to G is constant against alternatives where the generalized failure rate is increasing. The tests, which are based on studentized linear spacings statistics, are shown to satisfy optimum properties when the distribution function G puts all of its mass on a finite interval. (Author)

Descriptors :   (*STATISTICAL FUNCTIONS, SAMPLING), STATISTICAL TESTS, ASYMPTOTIC SERIES, STOCHASTIC PROCESSES, RELIABILITY, EXPONENTIAL FUNCTIONS, CONVEX SETS, THEOREMS, DISTRIBUTION FUNCTIONS

Subject Categories : Statistics and Probability

Distribution Statement : APPROVED FOR PUBLIC RELEASE