Hostname: page-component-84b7d79bbc-x5cpj Total loading time: 0 Render date: 2024-07-27T17:25:33.654Z Has data issue: false hasContentIssue false
  • English
  • Français

Properties of moments for s-order equilibrium distributions

Part of: Special processes Distribution theory - Probability

Published online by Cambridge University Press:  14 July 2016

Asok K. Nanda ,
Kanchan Jain  and
Harshinder Singh
Kanchan Jain*
Affiliation:
Panjab University
Harshinder Singh*
Affiliation:
Panjab University
*
∗Postal address for all authors: Department of Statistics, Panjab University, Chandigarh-160014, India.
∗Postal address for all authors: Department of Statistics, Panjab University, Chandigarh-160014, India.
Get access Rights & Permissions [Opens in a new window]

Abstract

In this article we define the s-order equilibrium distribution of a life distribution and establish some interesting properties regarding moments for s-order equilibrium distributions. Results are expected to be useful in reliability and renewal processes.

Keywords

EQUILIBRIUM DISTRIBUTIONSTOCHASTIC ORDERING

MSC classification

Primary: 60K10: Applications (reliability, demand theory, etc.)
Secondary: 60E15: Inequalities; stochastic orderings
Type
Research Papers
Information
Journal of Applied Probability , Volume 33 , Issue 4 , December 1996 , pp. 1108 - 1111
Copyright
Copyright © Applied Probability Trust 1996 

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

Barlow, R. E., Marshall, A. W. and Proschan, F. (1963) Properties of probability distributions with monotone hazard rates. Ann. Math. Statist. 34, 374–389.Google Scholar
Cox, D. R. (1962) Renewal Theory. Spottiswoode, Ballantyne and Company, London.Google Scholar
Deshpande, J. V., Kochar, S. C. and Singh, H. (1986) Aspects of positive ageing. J. Appl. Prob. 23, 748–758.Google Scholar
Fagiuoli, E. and Pellerey, F. (1993) New partial orderings and applications. Naval Res. Logist. 40, 829–842.3.0.CO;2-D>CrossRefGoogle Scholar
Massey, W. A. and Whitt, W. (1993) A probabilistic generalization of Taylor's theorem. Statist. Prob. Lett. 16, 51–54.Google Scholar
Singh, H. (1989) On partial orderings of life distributions. Naval Res. Logist. 36, 103–110.Google Scholar