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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
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.
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- Research Papers
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- Copyright © Applied Probability Trust 2002
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
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
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