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Reliability bounds for the ℒ-class and Laplace order

Part of:Survival analysis and censored dataOperations research and management science

Published online by Cambridge University Press:  14 July 2016

Debasis Sengupta
Debasis Sengupta*
Affiliation:
Indian Statistical Institute, Calcutta
*
∗ Postal address: Indian Statistical Institute, 203 Barrackpore Trunk Road, Calcutta 700 035, India.
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Abstract

Sharp upper and lower reliability bounds for the ℒ- and -classes of life distributions with a given mean are provided. Bounds are also given for a distribution which is related to a known distribution (not necessarily exponential) through the Laplace order.

Keywords

-CLASSHNBUEHNWUEQUEUING THEORY

MSC classification

Primary:90B25: Reliability, availability, maintenance, inspection
Secondary:90B22: Queues and service62N05: Reliability and life testing

Information

Type
Short Communications
Information
Journal of Applied Probability , Volume 32 , Issue 3 , September 1995, pp. 832 - 835
Copyright
Copyright © Applied Probability Trust 1995 

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References

Chaudhuri, G., Deshpande, J. V. and Dharmadhikari, A. D. (1993) Bounds on the life distributions using Laplace ordering and applications. Submitted. [Also, Technical Report, Department of Statistics, University of Poona, Pune 411 007, India.]Google Scholar
Klefsjö, B. (1983) A useful aging property based on the Laplace transform. J Appl. Prob. 20, 615–626.CrossRefGoogle Scholar
Rolski, T. and Stoyan, D. (1976) On the comparison of waiting times in GI/G/1 queues. Operat. Res. 24, 197–200.Google Scholar
Sengupta, D. (1993) Reliability bounds for the ℒ-class and Laplace order. Technical Report No. ASC-93-22, Indian Statistical Institute, Calcutta.Google Scholar