HAN Dong, TSUNG Fugee. The Optimality in Non-Bayesian Change-Point Detection for Finite Observation Sequence[J]. Chinese Journal of Applied Probability and Statistics, 2024, 40(2): 277-286. DOI: 10.3969/j.issn.1001-4268.2024.02.004
Citation:
HAN Dong, TSUNG Fugee. The Optimality in Non-Bayesian Change-Point Detection for Finite Observation Sequence[J]. Chinese Journal of Applied Probability and Statistics, 2024, 40(2): 277-286. DOI: 10.3969/j.issn.1001-4268.2024.02.004
HAN Dong, TSUNG Fugee. The Optimality in Non-Bayesian Change-Point Detection for Finite Observation Sequence[J]. Chinese Journal of Applied Probability and Statistics, 2024, 40(2): 277-286. DOI: 10.3969/j.issn.1001-4268.2024.02.004
Citation:
HAN Dong, TSUNG Fugee. The Optimality in Non-Bayesian Change-Point Detection for Finite Observation Sequence[J]. Chinese Journal of Applied Probability and Statistics, 2024, 40(2): 277-286. DOI: 10.3969/j.issn.1001-4268.2024.02.004
The Optimality in Non-Bayesian Change-Point Detection for Finite Observation Sequence
This paper studies the non-Bayesian change-point detection of finite dependent samples sequence. By presenting the nonnegative dynamic random control limits, we not only constructed and proved two optimal control charts, but also obtained the expressions for the minimum values of Lorden's measure and Pollak's measure that are easier to calculate than the original definition.