{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,6,14]],"date-time":"2024-06-14T00:04:39Z","timestamp":1718323479763},"reference-count":13,"publisher":"Wiley","issue":"7","license":[{"start":{"date-parts":[[2016,1,5]],"date-time":"2016-01-05T00:00:00Z","timestamp":1451952000000},"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":[[2016,11]]},"abstract":"The question considered in this paper is how large does an in\u2010control reference sample need to be in order to control the effects of using estimated parameters when using a normal\u2010theory cumulative sum (CUSUM) tracking statistic? Previous research has demonstrated the effect of estimation errors on the conditional in\u2010control average run length of the CUSUM. The contributions of this paper are simple analytical tools that determine the required reference sample size needed to ensure probabilistic control of the relative error of the conditional in\u2010control average run length. The availability of these tools rounds out the design phase of the CUSUM by enabling a practical procedure for determining the needed size of the reference sample. Copyright \u00a9 2016 John Wiley & Sons, Ltd.<\/jats:p>","DOI":"10.1002\/qre.1952","type":"journal-article","created":{"date-parts":[[2016,1,6]],"date-time":"2016-01-06T03:24:38Z","timestamp":1452050678000},"page":"2499-2504","source":"Crossref","is-referenced-by-count":10,"title":["Determining the Reference Sample Size Needed to Control the Accuracy of the Conditional in\u2010control ARL of a Normal\u2010theory CUSUM"],"prefix":"10.1002","volume":"32","author":[{"given":"Daniel R.","family":"Jeske","sequence":"first","affiliation":[{"name":"Department of Statistics University of California Riverside CA 925211 USA"}]}],"member":"311","published-online":{"date-parts":[[2016,1,5]]},"reference":[{"key":"e_1_2_5_2_1","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4612-1686-5"},{"key":"e_1_2_5_3_1","volume-title":"Introduction to Statistical Process Control","author":"Qiu P","year":"2014"},{"key":"e_1_2_5_4_1","doi-asserted-by":"crossref","first-page":"413","DOI":"10.1111\/j.2517-6161.1975.tb01555.x","article-title":"The influence of reference values and estimated von the ARL of CUSUM tests","volume":"13","author":"Bagshaw M","year":"1975","journal-title":"Journal of the Royal Statistical Society, Series B"},{"key":"e_1_2_5_5_1","doi-asserted-by":"publisher","DOI":"10.1080\/00224065.2004.11980254"},{"key":"e_1_2_5_6_1","doi-asserted-by":"publisher","DOI":"10.1080\/00224065.2006.11918623"},{"key":"e_1_2_5_7_1","doi-asserted-by":"publisher","DOI":"10.1080\/00224065.1996.11979634"},{"key":"e_1_2_5_8_1","doi-asserted-by":"publisher","DOI":"10.1002\/sjos.12006"},{"key":"e_1_2_5_9_1","doi-asserted-by":"publisher","DOI":"10.1002\/asmb.2038"},{"key":"e_1_2_5_10_1","doi-asserted-by":"publisher","DOI":"10.1080\/00224065.2015.11918132"},{"key":"e_1_2_5_11_1","doi-asserted-by":"publisher","DOI":"10.1080\/00224065.2015.11918140"},{"key":"e_1_2_5_12_1","volume-title":"Sequential Analysis Tests and Confidence Intervals","author":"Siegmund D","year":"1985"},{"key":"e_1_2_5_13_1","doi-asserted-by":"publisher","DOI":"10.1080\/00224065.1991.11979327"},{"key":"e_1_2_5_14_1","doi-asserted-by":"crossref","first-page":"365","DOI":"10.1080\/00224065.2006.11918624","article-title":"Design of cumulative sum schemes for start\u2010up processes and shorts runs","volume":"38","author":"Zantek PF","year":"2006","journal-title":"Journal of Quality Technology"}],"container-title":["Quality and Reliability Engineering International"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.wiley.com\/onlinelibrary\/tdm\/v1\/articles\/10.1002%2Fqre.1952","content-type":"unspecified","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/api.wiley.com\/onlinelibrary\/tdm\/v1\/articles\/10.1002%2Fqre.1952","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/pdf\/10.1002\/qre.1952","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,6,13]],"date-time":"2024-06-13T16:53:39Z","timestamp":1718297619000},"score":1,"resource":{"primary":{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/10.1002\/qre.1952"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2016,1,5]]},"references-count":13,"journal-issue":{"issue":"7","published-print":{"date-parts":[[2016,11]]}},"alternative-id":["10.1002\/qre.1952"],"URL":"https:\/\/doi.org\/10.1002\/qre.1952","archive":["Portico"],"relation":{},"ISSN":["0748-8017","1099-1638"],"issn-type":[{"value":"0748-8017","type":"print"},{"value":"1099-1638","type":"electronic"}],"subject":[],"published":{"date-parts":[[2016,1,5]]}}}