On limiting theorems for conditional causation probabilities of multiple-run-rules

Hsing-Ming Chang, Yung Ming Chang, Winnie H.W. Fu, Wan Chen Lee

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

Causation probabilities of multiple-run-rules based on patterns of multi-state trials have been used and studied in various fields such as quality control, reliability of engineering system, biology, DNA sequence analysis and survival analysis. In this manuscript, we derive the limiting results for two types of conditional causation probabilities for multiple-run-rules by using the finite Markov chain imbedding technique. Extension and numerical examples are given to illustrate the theoretical results.

Original languageEnglish
Pages (from-to)151-156
Number of pages6
JournalStatistics and Probability Letters
Volume138
DOIs
Publication statusPublished - 2018 Jul 1

Fingerprint

Causation
Limiting
Multi-state
Imbedding
Survival Analysis
Sequence Analysis
Systems Biology
Quality Control
Theorem
DNA Sequence
Markov chain
Engineering
Numerical Examples
Survival analysis
Systems engineering
Sequence analysis
Quality control
Rule-based

All Science Journal Classification (ASJC) codes

  • Statistics and Probability
  • Statistics, Probability and Uncertainty

Cite this

Chang, Hsing-Ming ; Chang, Yung Ming ; Fu, Winnie H.W. ; Lee, Wan Chen. / On limiting theorems for conditional causation probabilities of multiple-run-rules. In: Statistics and Probability Letters. 2018 ; Vol. 138. pp. 151-156.
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On limiting theorems for conditional causation probabilities of multiple-run-rules. / Chang, Hsing-Ming; Chang, Yung Ming; Fu, Winnie H.W.; Lee, Wan Chen.

In: Statistics and Probability Letters, Vol. 138, 01.07.2018, p. 151-156.

Research output: Contribution to journalArticle

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