Control Charts for Monitoring Burr Type-X Percentiles

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Title:	Control Charts for Monitoring Burr Type-X Percentiles
Authors:	Lio, Y. L.;Tsai, Tzong-ru;Aslam, M.;Jiang, Nan
Contributors:	淡江大學統計學系
Keywords:	Average run length;Control charts;False alarm rate;Parametric bootstrap;Percentile;Shewhart chart
Date:	2013-10
Issue Date:	2013-10-16 17:10:40 (UTC+8)
Publisher:	Philadelphia: Taylor & Francis Inc.
Abstract:	When the sampling distribution of a parameter estimator is unknown, using normality asymptotically, the Shewhart-type chart may provide improper control limits. To monitor Burr type-X percentiles, two parametric bootstrap charts (PBCs) are proposed and compared with the Shewhart-type chart via a Monte Carlo simulation. Simulation results exhibit that the proposed PBCs perform well with a short average run length to signal out-of-control when the process is out-of-control, and have more adequate control limits than the Shewhart-type chart in view of in-control false alarm rate. An example regarding single fiber strength is presented for illustrating the proposed PBCs.
Relation:	Communications in Statistics - Simulation and Computation 43(4), pp.761-776
DOI:	10.1080/03610918.2012.714033
Appears in Collections:	[Graduate Institute & Department of Statistics] Journal Article

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