Control charts for monitoring the median parameter of Birnbaum‐Saunders distribution

In this paper, we propose control charts for monitoring the Birnbaum‐Saunders (BS) median parameter (scale parameter) on the basis of three estimators. Comparison of the control charts in terms of average run length using probability control limits and those based on asymptotic distribution of three...

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Bibliographic Details
Published in:	Quality and reliability engineering international Vol. 36; no. 4; pp. 1333 - 1363
Main Authors:	Bourguignon, Marcelo, Lee Ho, Linda, Fernandes, Fidel Henrique
Format:	Journal Article
Language:	English
Published:	Bognor Regis Wiley Subscription Services, Inc 01-06-2020
Subjects:	asymptotic normal distribution Asymptotic properties average run length Computer simulation Control charts Control limits Estimators maximum likelihood estimator modified moment estimator Monitoring Normal distribution Parameter estimation simulation
Online Access:	Get full text
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Summary:	In this paper, we propose control charts for monitoring the Birnbaum‐Saunders (BS) median parameter (scale parameter) on the basis of three estimators. Comparison of the control charts in terms of average run length using probability control limits and those based on asymptotic distribution of three estimators for the median parameter is developed. We also present guidelines for practitioners about the minimum sample size needed to match out‐of‐control average run length with the asymptotic control limits in function of the median parameter after an extensive simulation study. Numerical example illustrates the applied monitoring of BS median parameter.
ISSN:	0748-8017 1099-1638
DOI:	10.1002/qre.2632