Replacement model with random replacement time

In this paper, we study a replacement model under which replacements take place not at fixed time but at random time T or upon failure. We study the properties of mean time to failure of the proposed model. Life times of two replacement models with different random replacement times have been compar...

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Bibliographic Details
Published in:Statistical papers (Berlin, Germany) Germany), 2023-02, Vol.64 (1), p.1-15
Main Authors: Jain, Kanchan, Kattumannil, Sudheesh K., Rajagopal, Anjana
Format: Article
Language:English
Subjects:
Age
Aging
Air conditioning
Air conditioning equipment
Economic Theory/Quantitative Economics/Mathematical Methods
Economics
Failure
Finance
Insurance
Lifetime
Management
Mathematics and Statistics
Mean time to failure
Operations Research/Decision Theory
Probability Theory and Stochastic Processes
Random variables
Regular Article
Statistics
Statistics for Business
Survival analysis
Test procedures
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Summary:In this paper, we study a replacement model under which replacements take place not at fixed time but at random time T or upon failure. We study the properties of mean time to failure of the proposed model. Life times of two replacement models with different random replacement times have been compared using few stochastic orderings. A non-parametric test based on U-Statistics has been proposed for testing constancy of mean time to failure against NBUE alternative. The finite sample performance of the proposed test is evaluated through Monte Carlo simulation study. Finally, the proposed test procedure is illustrated using lifetime data of air conditioning equipment.
ISSN:0932-5026
1613-9798
DOI:10.1007/s00362-022-01306-y