TY - JOUR
T1 - On limiting theorems for conditional causation probabilities of multiple-run-rules
AU - Chang, Hsing Ming
AU - Chang, Yung Ming
AU - Fu, Winnie H.W.
AU - Lee, Wan Chen
N1 - Funding Information:
Authors would like to thank Dr. James C. Fu (Department of Statistics, University of Manitoba, Winnipeg, Canada) for the insightful discussions and comments and also the referee for providing many useful suggestions. The author Dr. Hsing-Ming Change acknowledges the financial support by the Ministry of Science and Technology of Taiwan through the Grant 105-2118-M-006-002- which enabled his visit to Dr. James C. Fu.
Publisher Copyright:
© 2018 Elsevier B.V.
PY - 2018/7
Y1 - 2018/7
N2 - 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.
AB - 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.
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U2 - 10.1016/j.spl.2018.02.069
DO - 10.1016/j.spl.2018.02.069
M3 - Article
AN - SCOPUS:85044468527
SN - 0167-7152
VL - 138
SP - 151
EP - 156
JO - Statistics and Probability Letters
JF - Statistics and Probability Letters
ER -