Replacement model with random replacement time

Kanchan Jain, Sudheesh K. Kattumannil () and Anjana Rajagopal
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Kanchan Jain: Panjab University
Sudheesh K. Kattumannil: Indian Statistical Institute
Anjana Rajagopal: Indian Statistical Institute

Statistical Papers, 2023, vol. 64, issue 1, No 1, 15 pages

Abstract: Abstract 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.

Keywords: Exponential distribution; Mean time to failure; New better than used in expectation; Replacement model; U-statistics (search for similar items in EconPapers)
Date: 2023
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DOI: 10.1007/s00362-022-01306-y

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