The effect of parameter estimation on the performance of one-sided Shewhart control charts for zero-inflated processes. Issue 14 (17th July 2016)

• Record Type: Journal Article
• Authors: Rakitzis, Athanasios C.; Castagliola, Philippe
• Is Part Of: Communications in statistics. Volume 45:Issue 14(2016)
• Page Start: 4194
• Page End: 4214
• Publication Date: 2016-07-17
• Subjects: Average run length -- Estimated parameters -- Moment estimator -- One-sided Shewhart control charts -- Probability generating function -- Standard deviation run length -- Zero-inflated Binomial distribution -- Zero-inflated Poisson distribution; Primary: 60J05 -- Secondary: 62P30; Mathematical statistics -- Periodicals; Mathematics; Statistics; 519.2
• DOI: 10.1080/03610926.2014.917188
• Languages: English
• ISSNs: 0361-0926

Abstract

ABSTRACT: Zero-inflated probability models are used to model count data that have an excessive number of zeros. Shewhart-type control charts have been proposed for the monitoring of zero-inflated processes. Usually their performance is evaluated under the assumption of known process parameters. However, in practice, their values are rarely known and they have to be estimated from an in-control historical Phase I sample. In the present paper, we investigate the performance of Shewhart-type control charts for zero-inflated processes with estimated parameters and propose practical guidelines for the statistical design of the examined charts, when the size of the preliminary sample is predetermined.