{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2023,11,1]],"date-time":"2023-11-01T13:10:36Z","timestamp":1698844236850},"reference-count":20,"publisher":"Wiley","issue":"7","license":[{"start":{"date-parts":[[2011,2,10]],"date-time":"2011-02-10T00:00:00Z","timestamp":1297296000000},"content-version":"vor","delay-in-days":0,"URL":"http:\/\/onlinelibrary.wiley.com\/termsAndConditions#vor"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Quality & Reliability Eng"],"published-print":{"date-parts":[[2011,11]]},"abstract":"Abstract<\/jats:title>This paper proposes an approach to monitor shifts in the Weibull shape parameter bf<\/jats:italic>\u03b2 via control charts based on the moving range of single\u2010point samples from a smallest extreme value distribution. The average run length (ARL<\/jats:italic>) of the proposed charts are computed using Fredholm integral equations of the second kind. The derived control limits for one\u2010sided and two\u2010sided control charts are unbiased in the sense that the ARL<\/jats:italic> when \u03b2 has shifted is shorter than the desired stable\u2010process ARL<\/jats:italic>. These control limits depend only on the desired stable\u2010process ARL<\/jats:italic> and the stable value of \u03b2. The paper also discusses the sample size requirements for Phase I so that the run length distributions are similar under standards\u2010given scenario (\u03b2 is given) and retrospective scenario (\u03b2 is estimated from past data). The proposed methods are then applied to data on the breaking strengths of carbon fibers. The results suggest that one\u2010sided control charts can detect small shifts in \u03b2 sooner than two\u2010sided charts. Copyright \u00a9 2011 John Wiley & Sons, Ltd.<\/jats:p>","DOI":"10.1002\/qre.1180","type":"journal-article","created":{"date-parts":[[2011,2,10]],"date-time":"2011-02-10T12:29:03Z","timestamp":1297340943000},"page":"905-919","source":"Crossref","is-referenced-by-count":15,"title":["Moving range charts for monitoring the Weibull shape parameter with single observation samples"],"prefix":"10.1002","volume":"27","author":[{"given":"Francis","family":"Pascual","sequence":"first","affiliation":[]},{"given":"Diem","family":"Nguyen","sequence":"additional","affiliation":[]}],"member":"311","published-online":{"date-parts":[[2011,2,10]]},"reference":[{"key":"e_1_2_8_2_2","unstructured":"WeibullW.A statistical theory of the strength of material. 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Proceedings of the Fourth Industrial Engineering Research Conference Nashville TN 24\u201025 May 1995;320\u2013328."},{"key":"e_1_2_8_19_2","unstructured":"R Development Core Team. R Project 2010. 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