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Some properties of two families of classes of life distributions

Part of: Survival analysis and censored data Operations research and management science Special processes

Published online by Cambridge University Press:  14 July 2016

N. R. Mohan  and
S. Ravi
N. R. Mohan*
Affiliation:
University of Mysore
S. Ravi*
Affiliation:
University of Mysore
*
∗ Postal address: Department of Studies in Statistics, University of Mysore, Manasagangotri, Mysore 570006, India.
∗ Postal address: Department of Studies in Statistics, University of Mysore, Manasagangotri, Mysore 570006, India.
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Abstract

We study the closure properties of the family ℒ(α) of classes of life distributions introduced by Lin (1998) under general compounding. We define a discrete analogue of this family and study some properties.

Keywords

Life distributionLaplace orderingclass ℒ(α)class 𝒢(α)reliability

MSC classification

Primary: 60K10: Applications (reliability, demand theory, etc.)
Secondary: 90B25: Reliability, availability, maintenance, inspection 62N05: Reliability and life testing
Type
Research Papers
Information
Journal of Applied Probability , Volume 39 , Issue 3 , September 2002 , pp. 581 - 589
Copyright
Copyright © Applied Probability Trust 2002 

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References

Bhattacharjee, M. C., and Basu, S. K. (2002). Ageing with Laplace order conserving survival under perfect repairs. To appear in IISA 98 Conf. Proc.: Advances on Methodological and Applied Aspects of Probability and Statistics, Vol. 1, ed. Balakrishnan, N., Gordon and Breach, London, pp. 425–440 Google Scholar
Klefsjö, B. (1983). A useful ageing property based on the Laplace transform. J. Appl. Prob. 20, 615–626.CrossRefGoogle Scholar
Lin, G. D. (1998). On weak convergence within the ℒ-like classes of life distributions. Sankhyā A 60, 176–183.Google Scholar
Lin, G. D., and Hu, C.-Y. (2000). A note on the ℒ-class of life distributions. Sankhyā 62, 267–272.Google Scholar
Mitra, M., Basu, S. K., and Bhattacharjee, M. C. (1995). Characterizing the exponential law under Laplace order domination. Calcutta Statist. Assoc. Bull. 45, 170–180.Google Scholar
Mitrinović, D. S. (1964). Elementary Inequalities. P. Noordhoff, Groningen.Google Scholar
Mohan, N. R., and Ravi, S. (2002). On class ℒ, class 𝒢 and compound distributions in reliability. Preprint, University of Mysore. To appear in Statist. Prob. Lett.Google Scholar