Conditional Control Charts for Monitoring the Weibull Shape Parameter under Progressively Type II Censored Data | Zendy

Haghighi Firoozeh | Zendy; Castagliola Philippe | Zendy

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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.

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