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具有可变抽样区间的Poisson INAR(1) CUSUM控制图 被引量：1

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摘要 文章主要对监测取整且自相关的泊松数据所用的控制图(Poisson INAR(1)CUSUM)进行研究,并且对此控制图进行了可变抽样区间设计;利用马尔科夫链方法计算其平均报警时间,计算结果表明,所设计的动态Poisson INAR(1)CUSUM控制图比固定抽样区间的控制图有更好的监控效果。
作者 郭新俊 朱永忠 张艳
机构地区 河海大学理学院 新疆农业大学数理学院
出处 《统计与决策》 CSSCI 北大核心 2012年第11期19-22,共4页 Statistics & Decision
基金 国家自然科学基金资助项目(50979029) 河海大学自然科学基金资助项目(2008431111)
关键词 多样累积和控制图 可变抽样区间 平均报警时间 马尔科夫链
分类号 O213.1 [理学—概率论与数理统计]
  • 相关文献

参考文献10

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共引文献34

同被引文献11

  • 1WU Z,TIAN Y. Weighted-loss-function CUSUM chart for monitoring mean and variance of a production process [ J ]. Prod Res, 2005,43 : 3027-3044.
  • 2Costa A B, Rahim M A. A single EWMA chart for monitoring process mean and process variance [ J 1. Qual Technol Quant Manage ,2006,3 ( 3 ) :295-305.
  • 3WU Z, TIAN Y, ZHANG S. Adjusted-loss-function charts with variable sample sizes and sampling intervals [ J]. Appl Stat,2005, 32:221-242.
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  • 5WU Z, TIAN Y. Weighted-loss-function control charts [ J ]. Int J Adv Manuf Teehno1,2006,31 : 107-115.
  • 6WU Z, WANG P, WANG Q. A loss function-based adaptive control chart for monitoring the process mean and variance [ J ]. Int J Adv Manuf Techno1,2009 ,40 :948-959.
  • 7Hawkins D M, DEN G Q. Combined charts for mean and variance [ J 1. J Qual Technol,2009,41:415- 425.
  • 8HUANG C C, CHEN FL. Economic design of max charts [ J]. Commun Stat Theory Methods ,2010,39 (16) :2961-2976.
  • 9ZHANG J ,ZOU C ,WANG Z. An adaptive Shiryaev-Robert procedure for monitoring dispersion[ J J. Comput Ind Eng,2011,61: 1166-1172.
  • 10OU Y, WU Z, Goh T N. A new SPRT chart for monitoring process mean and variance [ J ]. Int J Prod Econ, 2011,132 (2) : 303-314.

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统计与决策
2012年 第11期

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