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 4 条
  • [1] Poor H. Vincent., 2009, Quickest Detection
  • [2] Shiryaev A. N., 2008, STOCHASTIC MODELLING, V8, P193
  • [3] SHIRYAEv A. N., 2010, Sequential Anal., V29, P345, DOI [10.1080/07474946.2010.520580, DOI 10.1080/07474946.2010.520580)]
  • [4] Yin GG, 2010, STOCH MOD APPL PROBA, V63, P1, DOI 10.1007/978-1-4419-1105-6