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Conditional Control Charts for Monitoring the Weibull Shape Parameter under Progressively Type II Censored Data
Author(s) -
Haghighi Firoozeh,
Castagliola Philippe
Publication year - 2015
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.1659
Subject(s) - weibull distribution , censoring (clinical trials) , control chart , statistics , mathematics , shewhart individuals control chart , shape parameter , control limits , computer science , ewma chart , process (computing) , operating system
In this paper, (i) we propose new conditional Shewhart‐type control charts for monitoring the shape parameter of the Weibull distribution under a progressively type II censoring strategy, and (ii) we generalize the control charts proposed by Guo and Wang 1 for the progressively type II censoring case. We provide a comparison between these control charts in terms of the out‐of‐control average run length obtained by simulation for both the known and unknown parameter cases. A real example consisting of data from breaking stress of carbon fibers is also presented for illustration and comparison of the proposed control charts. Copyright © 2014 John Wiley & Sons, Ltd.