Weighted CUSUM Control Charts for Monitoring Poisson Processes with Varying Sample Sizes
WEI JIANG1; LIANJIE SHU2; KWOK-LEUNG TSUI3
2011-10
Source PublicationJournal of Quality Technology
ISSN0022-4065
Volume43Issue:4Pages:346-362
Abstract

Monitoring inhomogeneous Poisson processes with varying sample sizes has attracted considerable at- tention recently in both industrial quality control and public-health surveillance. One of the key challenges in these applications is that a change in incidence rate may be masked by changes of sample sizes. The conventional Poisson cumulative sum (CUSUM) chart designed for detecting a prespecified change in the incidence rate could perform poorly when the actual change is different from the prespecified one. This phenomenon is especially prominent when the sample size is nonconstant and varies over time. To efficiently detect changes in the incidence rate with varying sample sizes, this paper proposes a class of weighted CUSUM (WCUSUM) schemes with general weight functions applied to the likelihood-ratio statistic. The comparison results with the traditional Poisson CUSUM method and other alternatives favor the proposed method. An example in health-care surveillance is used to illustrate the application of the proposed method.

KeywordAverage Run Length Statistical Process Control Surveillance Incidence Rate Likelihood Ratio
DOIhttps://doi.org/10.1080/00224065.2011.11917869
Indexed BySCIE
Language英语
WOS Research AreaEngineering ; Operations Research & Management Science ; Mathematics
WOS SubjectEngineering, Industrial ; Operations Research & Management Science ; Statistics & Probability
WOS IDWOS:000295861900005
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Citation statistics
Cited Times [WOS]:18   [WOS Record]     [Related Records in WOS]
Document TypeJournal article
CollectionDEPARTMENT OF ACCOUNTING AND INFORMATION MANAGEMENT
Affiliation1.Antai College of Economics and Management, Shanghai Jiaotong University, Shanghai, China
2.Faculty of Business Administration, University of Macau, Taipa, Macau
3.Georgia Institute of Technology, Atlanta, GA 30332, and City University of Hong Kong, Kowloon, Hong Kong
Recommended Citation
GB/T 7714
WEI JIANG,LIANJIE SHU,KWOK-LEUNG TSUI. Weighted CUSUM Control Charts for Monitoring Poisson Processes with Varying Sample Sizes[J]. Journal of Quality Technology,2011,43(4):346-362.
APA WEI JIANG,LIANJIE SHU,&KWOK-LEUNG TSUI.(2011).Weighted CUSUM Control Charts for Monitoring Poisson Processes with Varying Sample Sizes.Journal of Quality Technology,43(4),346-362.
MLA WEI JIANG,et al."Weighted CUSUM Control Charts for Monitoring Poisson Processes with Varying Sample Sizes".Journal of Quality Technology 43.4(2011):346-362.
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