On Distribution and Average Run Length of a Two-Stage Control Process

Hsing Ming Chang, James C. Fu

Research output: Contribution to journalArticlepeer-review

1 Citation (Scopus)


In this article a method, using finite Markov chains, to obtain the run-length properties of a two-stage control process is presented. The method furnishes the obtaining of the distribution of waiting time to signal that gives additional insight into the design and performance of a control chart when a warning zone is considered to feature a two-stage control process and when a departure from the null assumption can be clearly defined. An example is given for illustration when samples come from a normal population, though not necessary, with an outlined process inspection scheme. A second example is given to demonstrate the extension of our approach to modelling Markov dependent data observations.

Original languageEnglish
Pages (from-to)2723-2742
Number of pages20
JournalMethodology and Computing in Applied Probability
Issue number4
Publication statusPublished - 2022 Dec

All Science Journal Classification (ASJC) codes

  • Statistics and Probability
  • Mathematics(all)


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