Introducing A Generalized Statistical Control Chart for Over- or under-dispersed Count Data
describe count information, from which associated control charts have been established. Several works recognize the need for a generalized control chart to allow for data over-dispersion, however, analogous arguments can also be made to account for potential under-dispersion. The Conway-Maxwell-Poisson (COMPoisson) is a general count distribution that relaxes the equi-dispersion assumption of the Poisson distribution, and in fact encompasses the special cases of the Poisson, geometric, and Bernoulli distributions. Accordingly, we develop a flexible control chart that can likewise encompass the classical Shewart charts based on the Poisson, Bernoulli (or binomial), and geometric (or negative binomial) distributions.
attribute control chart Conway-Maxwell-Poisson distribution count data Poisson distribution Shewhart control chart
KIMBERLY F. SELLERS
Department of Mathematics and Statistics, Georgetown University, Washington, DC 20057, USA
国际会议
北京
英文
1-6
2011-06-20（万方平台首次上网日期，不代表论文的发表时间）