Some Classes of Distributions Closed under the Formation of Coherent Systems
Abstract
It has been shown by Birnbaum, Esary and Marshall that the class of survival functions with increasing hazard rate average (IHRA) is closed under the formation of coherent systems. Moreover, this is the smallest class of survival functions which is closed both under the formation of coherent system and limits in distribution, and which contains the exponential survival functions. In this paper a number of other classes are found which are closed under the formation of coherent systems and limits in distribution. Associated subclasses that play a generating role like the exponential class in the IHRA case are exhibited. In addition, several methods are presented for deriving closed classes from closed classes.
Document Details
- Document Type
- Technical Report
- Publication Date
- Feb 03, 1971
- Accession Number
- AD0719951
Entities
People
- A. W. Marshall
- J. D. Esary
Organizations
- University of Washington