Abstract Details
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Activity Number:
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86
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Type:
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Contributed
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Date/Time:
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Sunday, August 4, 2013 : 4:00 PM to 5:50 PM
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Sponsor:
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International Indian Statistical Association
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| Abstract - #309587 |
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Title:
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Inference Procedures for Bivariate Exponential Model of Gumbel in Reliability Theory
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Author(s):
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Paul Savariappan*+
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Companies:
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Luther College
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Keywords:
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Multivariate Central Limit theorem ;
Slutsky theorem ;
Standby system ;
Steady state availability
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Abstract:
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Assuming that the joint distribution of lifetime and repair time of a failed unit in a two unit cold standby system is bivariate exponential (see Gumbel(1960)), measures of system performance such as system reliability, MTBF, point availability and steady state availability are obtained. Further, 100 (1-a) % asymptotic confidence limits for steady state availability of the system and an estimator of system reliability based on moments are obtained. Numerical work is carried out to illustrate the behaviour of steady state availability as well as the system reliability based on moments by simulating samples from bivariate exponential distribution due to Gumbel (1960).
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Authors who are presenting talks have a * after their name.
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