Kalman filter and maximum likelihood estimation to asset return

被引:0
|
作者
Cai, Yan-Ping [1 ]
Yang, Zhao-Jun [2 ]
机构
[1] School of Business Management, Hunan University, Changsha 410082, China
[2] School of Economics and Trade, Hunan University, Changsha 410079, China
关键词
Maximum likelihood estimation - Brownian movement - Intelligent systems - Bandpass filters - Monte Carlo methods;
D O I
暂无
中图分类号
学科分类号
摘要
It is common to take geometric Brownian motion as a model for asset prices but it is difficult to get a good estimation to the drift coefficient. Utilizing statistical filter techniques, this paper provides the Kalman filter estimation for the drift coefficient. The comparison between the Kalman filter and the maximum likelihood approach is presented. We also show an example by Monte Carlo simulation. The results explain that the Kalman filter appears much superior to the maximum likelihood estimation.
引用
收藏
页码:139 / 144
相关论文
共 50 条
  • [1] Adaptive Unscented Kalman Filter using Maximum Likelihood Estimation
    Mahmoudi, Zeinab
    Poulsen, Niels Kjolstad
    Madsen, Henrik
    Jorgensen, John Bagterp
    IFAC PAPERSONLINE, 2017, 50 (01): : 3859 - 3864
  • [2] Collaborative Target Tracking in WSNs Based on Maximum Likelihood Estimation and Kalman Filter
    Wang Xingbo
    Zhang Huanshui
    Jiang Xiangyuan
    2011 30TH CHINESE CONTROL CONFERENCE (CCC), 2011, : 4946 - 4951
  • [4] Maximum likelihood principle and moving horizon estimation based adaptive unscented Kalman filter
    Gao, Bingbing
    Gao, Shesheng
    Hu, Gaoge
    Zhong, Yongmin
    Gu, Chengfan
    AEROSPACE SCIENCE AND TECHNOLOGY, 2018, 73 : 184 - 196
  • [5] Maximum likelihood estimation of inflation factors on error covariance matrices for ensemble Kalman filter assimilation
    Liang, Xiao
    Zheng, Xiaogu
    Zhang, Shupeng
    Wu, Guocan
    Dai, Yongjiu
    Li, Yong
    QUARTERLY JOURNAL OF THE ROYAL METEOROLOGICAL SOCIETY, 2012, 138 (662) : 263 - 273
  • [6] An Adaptive Kalman Filter for Spacecraft Formation Navigation using Maximum Likelihood Estimation with Intrinsic Smoothing
    Fraser, Cory
    Ulrich, Steve
    2018 ANNUAL AMERICAN CONTROL CONFERENCE (ACC), 2018, : 5843 - 5848
  • [7] Extended Kalman filter-based maximum likelihood estimation for dynamic soft tissue characterisation
    Zhu, Xinhe
    Li, Jiankun
    Zhong, Yongmin
    Gu, Chengfan
    Choi, Kup-Sze
    ENGINEERING APPLICATIONS OF ARTIFICIAL INTELLIGENCE, 2025, 143
  • [8] BOOTSTRAPPING STATE-SPACE MODELS - GAUSSIAN MAXIMUM-LIKELIHOOD-ESTIMATION AND THE KALMAN FILTER
    STOFFER, DS
    WALL, KD
    JOURNAL OF THE AMERICAN STATISTICAL ASSOCIATION, 1991, 86 (416) : 1024 - 1033
  • [9] Efficient Computation of the Continuous-Discrete Extended Kalman Filter Sensitivities Applied to Maximum Likelihood Estimation
    Boiroux, Dimitri
    Ritschel, Tobias K. S.
    Poulsen, Niels Kjolstad
    Madsen, Henrik
    Jorgensen, John Bagterp
    2019 IEEE 58TH CONFERENCE ON DECISION AND CONTROL (CDC), 2019, : 6983 - 6988
  • [10] A Robust Generalized-Maximum Likelihood Unscented Kalman Filter for Power System Dynamic State Estimation
    Zhao, Junbo
    Mili, Lamine
    IEEE JOURNAL OF SELECTED TOPICS IN SIGNAL PROCESSING, 2018, 12 (04) : 578 - 592