A Control Chart of the Weibull Percentiles Via Bayesian

Pasquale Erto
University of Naples “Federico II” Naples, Italy

Guiliana Pallotta
University of Naples “Federico II” Naples, Italy

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Ingår i: 11th QMOD Conference. Quality Management and Organizational Development Attaining Sustainability From Organizational Excellence to SustainAble Excellence; 20-22 August; 2008 in Helsingborg; Sweden

Linköping Electronic Conference Proceedings 33:38, s. 447-455

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Publicerad: 2008-12-09


ISSN: 1650-3686 (tryckt), 1650-3740 (online)


Purpose: This work proposes an innovative control chart of the Weibull percentiles using Bayesian estimators supported by bootstrap methods.

Approach: The chart offers two main advantages.

On one side; the estimation procedure is able to effectively integrate both the experimental and the technological information exploiting some specific Bayesian estimators.

On the other side; the bootstrap techniques allow to capitalize the experimental information provided by few samples.

Findings: The performance of the control chart has been investigated by means of a large Monte Carlo study.

Value of the paper: The paper presents a control chart for Weibull percentiles; where few alternative charts can be found.


Statistical Process Control; non-Normal control charts; Bayesian inference; Weibull distribution; Bootstrap methods


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