Families of Distributions with Positive Memory Derived from the Mean Residual Life Function.
Abstract
The probability law of a positive random variable with finite mean is uniquely determined by the mean residual life function. This function is useful as an indicator of wearout and similar mechanisms. The amount of memory of a distribution is defined and positive memory is related to a decreasing mean residual life function. The properties of the mean residual life function and the hazard function are compared. Several distribution models are derived based on a simple analytical form of a decreasing mean residual life function.
Document Details
- Document Type
- Technical Report
- Publication Date
- Oct 01, 1975
- Accession Number
- ADA020870
Entities
People
- Eginhard J. Muth
Organizations
- University of Florida