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

Abstract

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 Wang1for the progressively type II censoring case. We provide a comparison between these control charts in terms of the out‐of‐controlaverage run lengthobtained 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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