ON THE OPTIMAL STOPPING OF A BROWNIAN MOTION WITH A NEGATIVE DRIFT

被引:0
|
作者
Sinelnikov, S. S. [1 ]
机构
[1] Moscow MV Lomonosov State Univ, Dept Theory Probabil, Fac Mech & Math, Moscow 119991, Russia
关键词
unpredictable moment; quickest detection; Brownian motion with a drift;
D O I
10.1137/S0040585X97985455
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 consider optimal stopping problems for a Brownian motion with a negative drift on the interval [0,8) related to the "best" estimation of two unpredictable moments: the moment when the process attains its maximum value, and the moment when the process attains its last zero.
引用
收藏
页码:343 / U1740
页数:8
相关论文
共 50 条
  • [31] An Optimal Stopping Problem of Detecting Entry Points for Trading Modeled by Geometric Brownian Motion
    Yue Liu
    Aijun Yang
    Jijian Zhang
    Jingjing Yao
    [J]. Computational Economics, 2020, 55 : 827 - 843
  • [32] Hitting Time Problems of Sticky Brownian Motion and Their Applications in Optimal Stopping and Bond Pricing
    Haoyan Zhang
    Yingxu Tian
    [J]. Methodology and Computing in Applied Probability, 2022, 24 : 1237 - 1251
  • [33] Hitting Time Problems of Sticky Brownian Motion and Their Applications in Optimal Stopping and Bond Pricing
    Zhang, Haoyan
    Tian, Yingxu
    [J]. METHODOLOGY AND COMPUTING IN APPLIED PROBABILITY, 2022, 24 (02) : 1237 - 1251
  • [34] An Optimal Stopping Problem of Detecting Entry Points for Trading Modeled by Geometric Brownian Motion
    Liu, Yue
    Yang, Aijun
    Zhang, Jijian
    Yao, Jingjing
    [J]. COMPUTATIONAL ECONOMICS, 2020, 55 (03) : 827 - 843
  • [35] Estimation of the drift of fractional Brownian motion
    Es-Sebaiy, Khalifa
    Ouassou, Idir
    Ouknine, Youssef
    [J]. STATISTICS & PROBABILITY LETTERS, 2009, 79 (14) : 1647 - 1653
  • [36] Estimators for the Drift of Subfractional Brownian Motion
    Shen, Guangjun
    Yan, Litan
    [J]. COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, 2014, 43 (08) : 1601 - 1612
  • [37] Minkowski dimension of Brownian motion with drift
    Charmoy, Philippe H. A.
    Peres, Yuval
    Sousi, Perla
    [J]. JOURNAL OF FRACTAL GEOMETRY, 2014, 1 (02) : 153 - 176
  • [38] Reflected Brownian motion with drift in a wedge
    Lakner, Peter
    Liu, Ziran
    Reed, Josh
    [J]. QUEUEING SYSTEMS, 2023, 105 (3-4) : 233 - 270
  • [39] Some inequalities for Brownian motion with a drift
    Goldaeva, AA
    [J]. RUSSIAN MATHEMATICAL SURVEYS, 2002, 57 (06) : 1224 - 1225
  • [40] BROWNIAN-MOTION WITH POLAR DRIFT
    WILLIAMS, RJ
    [J]. TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1985, 292 (01) : 225 - 246