Quickest detection of a state-dependent change-point in discrete time

被引:2
|
作者
Cai, Liang [1 ]
Pan, Li-Yun [2 ]
Zhang, Huan-Huan [1 ]
Gao, Ming-Zhong [1 ]
Wang, Zhi-Nan [1 ]
机构
[1] Beijing Inst Technol, Sch Math & Stat, Beijing 100081, Peoples R China
[2] Beijing Inst Educ, Fac Primary Educ, Beijing, Peoples R China
来源
SEQUENTIAL ANALYSIS-DESIGN METHODS AND APPLICATIONS | 2017年 / 36卷 / 04期
基金
中国国家自然科学基金;
关键词
Bayesian sequential analysis; optimal stopping rules; quickest detection; state-dependent abruption;
D O I
10.1080/07474946.2017.1394723
中图分类号
O21 [概率论与数理统计]; C8 [统计学];
学科分类号
020208 ; 070103 ; 0714 ;
摘要
We study the quickest detection of a change point in a sequence of observations whose prior probability depends on the observed states. By the Bayesian scheme we get the optimal stopping, rules under the hybrid probability space.
引用
收藏
页码:553 / 562
页数:10
相关论文
共 50 条
  • [21] Sequential Change-Point Detection in State-Space Models
    Brodsky, Boris
    SEQUENTIAL ANALYSIS-DESIGN METHODS AND APPLICATIONS, 2012, 31 (02): : 145 - 171
  • [22] Optimal Change-Point Sequential Detection in Autoregressive Time Series
    Pergamenchtchikov, Serguei
    Tenzin, Roman
    COMBINING, MODELLING AND ANALYZING IMPRECISION, RANDOMNESS AND DEPENDENCE, SMPS 2024, 2024, 1458 : 342 - 348
  • [23] Epidemic change-point detection in general causal time series
    Diop, Mamadou Lamine
    Kengne, William
    STATISTICS & PROBABILITY LETTERS, 2022, 184
  • [24] A general procedure for change-point detection in multivariate time series
    Diop, Mamadou Lamine
    Kengne, William
    TEST, 2023, 32 (01) : 1 - 33
  • [25] Real time change-point detection in a nonlinear quantile model
    Ciuperca, Gabriela
    SEQUENTIAL ANALYSIS-DESIGN METHODS AND APPLICATIONS, 2017, 36 (01): : 87 - 110
  • [26] A general procedure for change-point detection in multivariate time series
    Mamadou Lamine Diop
    William Kengne
    TEST, 2023, 32 : 1 - 33
  • [27] Sequential change-point detection methods for nonstationary time series
    Choi, Hyunyoung
    Ombao, Hernando
    Ray, Bonnie
    TECHNOMETRICS, 2008, 50 (01) : 40 - 52
  • [28] Change-Point Detection of Climate Time Series by Nonparametric Method
    Itoh, Naoki
    Kurths, Juergen
    WORLD CONGRESS ON ENGINEERING AND COMPUTER SCIENCE, VOLS 1 AND 2, 2010, : 445 - 448
  • [29] The change-point problem for dependent observations
    Giraitis, L
    Leipus, R
    Surgailis, D
    JOURNAL OF STATISTICAL PLANNING AND INFERENCE, 1996, 53 (03) : 297 - 310
  • [30] Change-point in the mean of dependent observations
    Kokoszka, P
    Leipus, R
    STATISTICS & PROBABILITY LETTERS, 1998, 40 (04) : 385 - 393