Approximation of the Likelihood Function for Stochastic Differential Equations with Markovian Switching

被引:0
|
作者
Zhen, Yuhang [1 ]
机构
[1] Beijing Inst Technol, Sch Math & Stat, Beijing 100081, Peoples R China
关键词
Likelihood function; Convergence; Markovian switching; Stochastic differential equations; EXPONENTIAL-FAMILIES; DIFFUSION; PARAMETER;
D O I
暂无
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 establish the following rates of convergence of the approximation of the Log-likelihood function for stochastic differential equations with Markovian switching. This is an extension of Theorem 2.1 in [27] to switching Markov case who obtained it for stationary homogeneous diffusions with some stronger regularity conditions.
引用
收藏
页码:527 / 546
页数:20
相关论文
共 50 条
  • [1] An analytic approximation of solutions of stochastic differential delay equations with Markovian switching
    Bao, Jianhai
    Hou, Zhenting
    [J]. MATHEMATICAL AND COMPUTER MODELLING, 2009, 50 (9-10) : 1379 - 1384
  • [2] Stochastic differential delay equations with Markovian switching
    Mao, XR
    Matasov, A
    Piunovskiy, AB
    [J]. BERNOULLI, 2000, 6 (01) : 73 - 90
  • [3] Stability of stochastic differential equations with Markovian switching
    Mao, XR
    [J]. STOCHASTIC PROCESSES AND THEIR APPLICATIONS, 1999, 79 (01) : 45 - 67
  • [4] Controllability of Stochastic Differential Equations with Markovian Switching
    Zhao, Guangliang
    Yang, Zhixin
    Yuan, Quan
    Wang, Le Yi
    [J]. 2017 55TH ANNUAL ALLERTON CONFERENCE ON COMMUNICATION, CONTROL, AND COMPUTING (ALLERTON), 2017, : 995 - 999
  • [5] Analytic Approximation of the Solutions of Stochastic Differential Delay Equations with Poisson Jump and Markovian Switching
    Yang, Hua
    Jiang, Feng
    [J]. JOURNAL OF APPLIED MATHEMATICS, 2012,
  • [6] Stability analysis of stochastic differential equations with Markovian switching
    Zhu, Fubo
    Han, Zhengzhi
    Zhang, Junfeng
    [J]. SYSTEMS & CONTROL LETTERS, 2012, 61 (12) : 1209 - 1214
  • [7] SMOOTHNESS OF DENSITY FOR STOCHASTIC DIFFERENTIAL EQUATIONS WITH MARKOVIAN SWITCHING
    Hu, Yaozhong
    Nualart, David
    Sun, Xiaobin
    Xie, Yingchao
    [J]. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 2019, 24 (08): : 3615 - 3631
  • [8] Stabilization of a class of stochastic differential equations with Markovian switching
    Yuan, CG
    Lygeros, J
    [J]. SYSTEMS & CONTROL LETTERS, 2005, 54 (09) : 819 - 833
  • [9] Stability of impulsive stochastic differential equations with Markovian switching
    Xu, Yan
    He, Zhimin
    [J]. APPLIED MATHEMATICS LETTERS, 2014, 35 : 35 - 40
  • [10] Neutral stochastic differential delay equations with Markovian switching
    Kolmanovskii, V
    Koroleva, N
    Maizenberg, T
    Mao, X
    Matasov, A
    [J]. STOCHASTIC ANALYSIS AND APPLICATIONS, 2003, 21 (04) : 819 - 847