Journal article
Monitoring the Weibull shape parameter by control charts for the sample range
Quality and reliability engineering international, Vol.27(1), pp.15-25
02/2011
Handle:
https://hdl.handle.net/2376/105071
Abstract
In this paper, we propose control charts for monitoring changes in the Weibull shape parameter β. These charts are based on the range of a random sample from the smallest extreme value distribution. The control chart limits depend only on the sample size, the desired stable average run length (ARL), and the stable value of β. We derive control limits for both one‐ and two‐sided control charts. They are unbiased with respect to the ARL. We discuss sample size requirements if the stable value of βis estimated from past data. The proposed method is applied to data on the breaking strengths of carbon fibers. We recommend one‐sided charts for detecting specific changes in βbecause they are expected to signal out‐of‐control sooner than the two‐sided charts. Copyright © 2010 John Wiley & Sons, Ltd.
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Details
- Title
- Monitoring the Weibull shape parameter by control charts for the sample range
- Creators
- Francis PascualHuifang Zhang
- Publication Details
- Quality and reliability engineering international, Vol.27(1), pp.15-25
- Academic Unit
- Mathematics and Statistics, Department of
- Publisher
- John Wiley & Sons, Ltd; Chichester, UK
- Number of pages
- 11
- Identifiers
- 99900547060501842
- Language
- English
- Resource Type
- Journal article