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SPCQCharts for a Poisson Parameterλ: Short or Long Runs

 

作者: QuesenberryCharles P.,  

 

期刊: Journal of Quality Technology  (Taylor Available online 1991)
卷期: Volume 23, issue 4  

页码: 296-303

 

ISSN:0022-4065

 

年代: 1991

 

DOI:10.1080/00224065.1991.11979345

 

出版商: Taylor&Francis

 

关键词: Short Runs;Start-Up Processes;Nonconformities;c Charts;u Charts;Job Shops

 

数据来源: Taylor

 

摘要:

Approximately normalized control charts, called Q Charts, have been given by the author in other work for charting variables and for a binomial attributes chart. We consider here the corresponding transformations for Poisson distributions, and give the Q charts technology for controlling a Poisson parameterλ. Charts are given for the two cases when the Poisson parameterλis known and when it is unknown. The chart for the case whenλis unknown is useful both for short runs and for charting processes at start up before enough data are available to assume thatλis essentially known. The chart for the case when the parameter is assumed known gives probabilities of exceeding the control limits that are better approximated by the nominal normal distribution probabilities than the classicalcorucharts. We give some tabular results to compare the goodness of the normal approximation to the probabilities for these charts with thecorucharts, and also with a chart made using a square root normalizing transformation.

 

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