alpha-Brownian bridge;
large deviation expansion;
maximum-likelihood estimator;
TIME INHOMOGENEOUS DIFFUSIONS;
ORNSTEIN-UHLENBECK PROCESS;
SHARP LARGE DEVIATIONS;
D O I:
10.1080/03610926.2016.1148734
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 studied the large deviation expansion for maximum-likelihood estimator of alpha-Brownian bridge by using change of measure and time-varying change of probability. The full expansion provided a useful tool to approximate the tail probability of maximum-likelihood estimator.
机构:
China Three Gorges Univ, Sch Sci, Yichang 443002, Peoples R China
China Three Gorges Univ, Gorges Math Res Ctr 3, Yichang 443002, Peoples R ChinaChina Three Gorges Univ, Sch Sci, Yichang 443002, Peoples R China
Zhao, Shoujiang
Liu, Qiaojing
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机构:
Wuhan Univ, Sch Math & Stat, Wuhan 430072, Peoples R ChinaChina Three Gorges Univ, Sch Sci, Yichang 443002, Peoples R China
Liu, Qiaojing
Chen, Ting
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h-index: 0
机构:
China Three Gorges Univ, Sch Sci, Yichang 443002, Peoples R China
China Three Gorges Univ, Gorges Math Res Ctr 3, Yichang 443002, Peoples R ChinaChina Three Gorges Univ, Sch Sci, Yichang 443002, Peoples R China
机构:
Henan Normal Univ, Coll Math & Informat Sci, Xixiang 453007, Henan Province, Peoples R ChinaHenan Normal Univ, Coll Math & Informat Sci, Xixiang 453007, Henan Province, Peoples R China
Miao, Yu
Wang, Yanling
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机构:
Henan Normal Univ, Coll Math & Informat Sci, Xixiang 453007, Henan Province, Peoples R ChinaHenan Normal Univ, Coll Math & Informat Sci, Xixiang 453007, Henan Province, Peoples R China
机构:
Henan Normal Univ, Coll Math & Informat Sci, Xinxiang 453007, Henan, Peoples R ChinaPingdingshan Univ, Coll Math & Informat Sci, Pingdingshan 467000, Henan, Peoples R China
Miao, Y.
Chen, Ying-Xia
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h-index: 0
机构:
Pingdingshan Univ, Coll Math & Informat Sci, Pingdingshan 467000, Henan, Peoples R ChinaPingdingshan Univ, Coll Math & Informat Sci, Pingdingshan 467000, Henan, Peoples R China