Accession Number : AD0624021

Title :   BOUNDS ON INTERVAL PROBABILITIES FOR RESTRICTED FAMILIES OF DISTRIBUTIONS,

Corporate Author : BOEING SCIENTIFIC RESEARCH LABS SEATTLE WASH MATHEMATICS RESEARCH LAB

Personal Author(s) : Barlow,R. E. ; Marshall,A. W.

Report Date : SEP 1965

Pagination or Media Count : 51

Abstract : For several families of distributions F(x) = P (X < or = x), sharp bounds are obtained. These families are all restricted by a moment condition, and in every case we assume that P (X < 0) = 0. In addition one of the following conditions is imposed: (i) F is concave on (0, infinity), (ii) F has an increasing hazard rate, (iii) F has a density that is a Polya frequency function of order 2, (iv) F has a decreasing hazard rate, (v) F has an increasing hazard rate average. Bounds are also obtained on the corresponding densities and hazard rates.

Descriptors :   (*PROBABILITY, STATISTICAL DISTRIBUTIONS), (*DISTRIBUTION FUNCTIONS, PROBABILITY), HAZARDS, STOCHASTIC PROCESSES

Subject Categories : Statistics and Probability

Distribution Statement : APPROVED FOR PUBLIC RELEASE