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Statistical Monitoring of Time‐to‐Failure Data Using Rank Tests
Author(s) -
Li Zhiguo,
Zhou Shiyu,
Sievenpiper Crispian,
Choubey Suresh
Publication year - 2012
Publication title -
quality and reliability engineering international
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 62
eISSN - 1099-1638
pISSN - 0748-8017
DOI - 10.1002/qre.1248
Subject(s) - control chart , censoring (clinical trials) , statistics , type i and type ii errors , reliability (semiconductor) , chart , rank (graph theory) , failure rate , reliability engineering , shewhart individuals control chart , computer science , mathematics , engineering , ewma chart , power (physics) , physics , process (computing) , combinatorics , operating system , quantum mechanics
A common type of reliability data is the right censored time‐to‐failure data. In this article, we developed a control chart to monitor the time‐to‐failure data in the presence of right censoring using weighted rank tests. On the basis of the asymptotic properties of the rank statistics, we derived the generic formulae for the operating characteristic functions of the control chart to show the relationship between type I error probability, type II error probability, sample size, and hazard rate change. We presented case studies to illustrate the design procedure and the effectiveness of the proposed control chart system. We also investigated and compared the performance of the proposed monitoring procedure with some available monitoring techniques for nonconformities. Copyright © 2011 John Wiley & Sons, Ltd.