<?xml version="1.1" encoding="utf-8"?>
<article xsi:noNamespaceSchemaLocation="http://jats.nlm.nih.gov/publishing/1.1/xsd/JATS-journalpublishing1-mathml3.xsd" dtd-version="1.1" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance"><front><journal-meta><journal-id journal-id-type="publisher-id">ASDS</journal-id><journal-title-group><journal-title>Applied Statistics and Data Science</journal-title></journal-title-group><issn>3066-8433</issn><eissn>3066-8441</eissn><publisher><publisher-name>Art and Design</publisher-name></publisher></journal-meta><article-meta><article-id pub-id-type="doi">10.61369/ASDS.2025050020</article-id><article-categories><subj-group subj-group-type="heading"><subject>Article</subject></subj-group></article-categories><title>参数估计对二项分布 CUSUM 控制图的性能影响分析</title><url>https://artdesignp.com/journal/ASDS/1/5/10.61369/ASDS.2025050020</url><author>苏鑫越,杨薇,张久军</author><pub-date pub-type="publication-year"><year>2025</year></pub-date><volume>1</volume><issue>5</issue><history><date date-type="pub"><published-time>2025-07-20</published-time></date></history><abstract>传统控制图大都是基于参数已知的假设，当参数未知时需要通过历史数据来进行估计，但估计的误差会对控制图的性能产生一定影响.基于此，本文考虑了参数估计对检测二项分布的CUSUM控制图的性能影响，通过蒙特卡洛模拟方法，得到在不同的历史样本数量条件下的平均运行长度.考查了受控与失控下控制图的性能表现，并通过调整控制线得到给定的平均运行长度。</abstract><keywords>CUSUM控制图,样本量,二项分布,参数估计</keywords></article-meta></front><body/><back><ref-list><ref id="B1" content-type="article"><label>1</label><element-citation publication-type="journal"><p>[1]WalterAShewhart. &amp;nbsp;Some applications of statistical methods to the analysis of physical and engineering data. &amp;nbsp;Bell System &amp;nbsp;Technical Journal, 3(1):43&amp;ndash;87, 1924.&amp;nbsp;[2]Ewan S Page. &amp;nbsp;Continuous inspection schemes. &amp;nbsp;Biometrika, 41(1/2):100&amp;ndash;115, 1954.&amp;nbsp;[3]Stuart W Roberts. &amp;nbsp;Control chart tests based on geometric moving averages. &amp;nbsp;Technomet- rics, 42(1):97&amp;ndash;101, 2000.&amp;nbsp;[4]James M Lucas. Cumulative sum (cusum) control schemes. Communications in Statistics.&amp;nbsp;[5]FF Gan. An optimal design of cusum control charts for binomial counts. Journal of.&amp;nbsp;[6]Willis A Jensen, L Allison Jones-Farmer, Charles W Champ, and William H Woodall. Effects of parameter estimation on control chart properties: A literature review. &amp;nbsp;Quality control and applied statistics, 52(3):245&amp;ndash;248, 2007.&amp;nbsp;[7]Stelios &amp;nbsp;Psarakis, &amp;nbsp;Angeliki &amp;nbsp;K Vyniou, &amp;nbsp;and &amp;nbsp;Philippe &amp;nbsp;Castagliola. &amp;nbsp; Some &amp;nbsp;recent &amp;nbsp;develop- ments on the effects of parameter estimation on control charts. Quality and Reliability Engineering International, 30(8):1113&amp;ndash;1129, 2014.&amp;nbsp;[8]Ronald JMM Does, Rob Goedhart, and William H Woodall. &amp;nbsp;On the design of control charts with guaranteed conditional performance under estimated parameters. Quality and Reliability Engineering International, 36(8):2610&amp;ndash;2620, 2020.&amp;nbsp;[9] 陶桂洪,宋贽,刘强.基于参数估计的CUSUM质量控制图性能分析[J].大连工业大学学报,2018,37(06):489-496.&amp;nbsp;[10]Fan Yi and Peihua Qiu. An adaptive cusum chart for drift detection. Quality and Reliability Engineering International, 38(2):887&amp;ndash;894, 2022.</p><pub-id pub-id-type="doi"/></element-citation></ref></ref-list></back></article>
