onevaluatingtherunlengthpropertiesofxbarchartswithestimatedcontrollimits

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	onevaluatingtherunlengthpropertiesofxbarchartswithestimatedcontrollimits
	Li Guoying 1; Yang Chunyan 2; SiuKeung Tse 2
	2002
发表期刊	journalofsystemsscienceandcomplexity
ISSN	1009-6124
卷号	15 期号:4 页码:436
摘要	X charts with estimated control limits are commonly used in practice and treated as if the in-control process parameters were known. However, the former can behave quite differently from the latter. To understand the differences, it is necessary to study the run length distribution (RLD), its mean (ARL) and standard deviation (SDRL) of the X charts when the control limits are estimated. However, ARL and SDRL are integrals over an infinite region with a boundless integrand, the finiteness has not been proved in literature. In this paper, we show the finiteness and uniform integrability of ARL and SDRL. Furthermore, we numerically evaluate the ARL, SDRL and the RLD using number theory method. A numerical study is conducted to assess the performance of the proposed method and the results are compared with those given by Quesenberry and Chen.
语种	英语
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/47536
专题	中国科学院数学与系统科学研究院
作者单位	1.中国科学院数学与系统科学研究院 2.香港城市大学
推荐引用方式 GB/T 7714	Li Guoying,Yang Chunyan,SiuKeung Tse. onevaluatingtherunlengthpropertiesofxbarchartswithestimatedcontrollimits[J]. journalofsystemsscienceandcomplexity,2002,15(4):436.
APA	Li Guoying,Yang Chunyan,&SiuKeung Tse.(2002).onevaluatingtherunlengthpropertiesofxbarchartswithestimatedcontrollimits.journalofsystemsscienceandcomplexity,15(4),436.
MLA	Li Guoying,et al."onevaluatingtherunlengthpropertiesofxbarchartswithestimatedcontrollimits".journalofsystemsscienceandcomplexity 15.4(2002):436.