BOUNDS ON INTERVAL PROBABILITIES FOR RESTRICTED FAMILIES OF DISTRIBUTIONS,
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.
Document Details
- Document Type
- Technical Report
- Publication Date
- Sep 01, 1965
- Accession Number
- AD0624021
Entities
People
- A. W. Marshall
- R. E. Barlow
Organizations
- Boeing