Improved one-sided control charts for the mean of a positively skewed population using truncated saddlepoint approximations

Binchao Chen, Timothy Matis, James Benneyan

Research output: Contribution to journalArticle

1 Scopus citations

Abstract

This paper develops a truncated saddlepoint (TS) control chart for the mean of a population with a skewed density. This chart requires the estimation of only a few population cumulants from sample data and is relatively straightforward in construction. Performance is assessed at various levels of truncation in terms of type 1 and 2 error rates and compared with other heuristic control charts via the Monte Carlo simulation. The truncated saddlepoint (TS) chart is shown to generally outperform these charts, especially in cases with small sample sizes or high levels of population skewness.

Original languageEnglish
Pages (from-to)1043-1058
Number of pages16
JournalQuality and Reliability Engineering International
Volume27
Issue number8
DOIs
StatePublished - Dec 2011

Keywords

  • control charts
  • quality control
  • saddlepoint approximations
  • skewed distributions

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