Statistical Process Control of the Stochastic Complexity of Discrete Processes

Armin Shmilovici Leib, Irad Ben-Gal

Research output: Contribution to journalArticlepeer-review

Abstract

Changes in stochastic processes often affect their description length, and reflected by their stochastic complexity measures. Monitoring the stochastic complexity of a sequence (or, equivalently, its code length) can detect process changes that may be undetectable by traditional SPC methods. The context tree is proposed here as a universal compression algorithm for measuring the stochastic complexity of a state-dependent discrete process. The advantage of the proposed method is in the reduced number of samples that are needed for reliable monitoring.
Original languageEnglish
Pages (from-to)55-61
JournalCommunications in dependability and quality management : an international journal
Volume8
Issue number3
StatePublished - 2005

Keywords

  • Process control
  • Control charts
  • Stochastic complexity
  • Context tree algorithm

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