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
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
VL - 138
SP - 151
EP - 156
JO - Statistics and Probability Letters
JF - Statistics and Probability Letters
SN - 0167-7152
ER -