Capability measures for m-dependent stationary processes

Sy Mien Chen*, Yu Sheng Hsu, W.l. Pearn

*Corresponding author for this work

Research output: Contribution to journalArticle

5 Scopus citations

Abstract

Process capability indices, providing numerical measures on process potential and process performance, have received substantial research attention. Most research assumes that the process is normally distributed and the process data are independent. In real-world applications such as chemical, soft drinks, or tobacco/cigarette manufacturing processes, process data are often auto-correlated. In this paper, we consider the capability indices Cp, Cpk, Cpm, Cpmk for strictly m-dependent stationary processes. We investigate the statistical properties of their natural estimators. We derive the asymptotic distributions, and establish confidence intervals so that capability testing can be performed.

Original languageEnglish
Pages (from-to)145-168
Number of pages24
JournalStatistics
Volume37
Issue number2
DOIs
StatePublished - 1 Mar 2003

Keywords

  • Asymptotic distribution
  • Auto-correlated process
  • Process capability index
  • Strictly m-dependent stationary process

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