Calculating Covariance Kernels of Stochastic Differential and Difference Equations with Applications in Bayesian Statistical Inversion

被引:0
|
作者
Roininen, Lassi [1 ]
Lehtinen, Markku [1 ]
Piiroinen, Petteri [2 ]
机构
[1] Univ Oulu, Sodankyla Geophys Observ, Tahtelantie 62, FI-99600 Sodankyla, Finland
[2] Univ Helsinki, Dept Math & Statist, FI-00014 Helsinki, Finland
基金
芬兰科学院;
关键词
Bayesian statistical inversion; stochastic partial differential equations; discretization-invariance;
D O I
10.1063/1.3498244
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
We consider modelling of stationary continuous-time stochastic differential equations with applications in discrete-time Bayesian statistical inversion. We formulate the processes in such a way that the processes are discretisation-invariant and fast to compute.
引用
收藏
页码:1816 / +
页数:2
相关论文
共 50 条
  • [21] The stability of neutral stochastic partial differential difference equations
    Zhang, YT
    Luo, Q
    PROCEEDINGS OF THE 2004 INTERNATIONAL CONFERENCE ON MACHINE LEARNING AND CYBERNETICS, VOLS 1-7, 2004, : 1070 - 1073
  • [22] Calculating differential Galois groups of parametrized differential equations, with applications to hypertranscendence
    Charlotte Hardouin
    Andrei Minchenko
    Alexey Ovchinnikov
    Mathematische Annalen, 2017, 368 : 587 - 632
  • [23] Calculating differential Galois groups of parametrized differential equations, with applications to hypertranscendence
    Hardouin, Charlotte
    Minchenko, Andrei
    Ovchinnikov, Alexey
    MATHEMATISCHE ANNALEN, 2017, 368 (1-2) : 587 - 632
  • [24] Functional Differential and Difference Equations with Applications 2013
    Diblik, J.
    Braverman, E.
    Gyori, I.
    Rogovchenko, Yu.
    Ruzickova, M.
    Zafer, A.
    ABSTRACT AND APPLIED ANALYSIS, 2014,
  • [25] Preface of the Symposium on Difference & Differential Equations with Applications
    Pinelas, Sandra
    INTERNATIONAL CONFERENCE ON NUMERICAL ANALYSIS AND APPLIED MATHEMATICS ICNAAM 2019, 2020, 2293
  • [26] Statistical Inference for Stochastic Differential Equations with Small Noises
    Shen, Liang
    Xu, Qingsong
    ABSTRACT AND APPLIED ANALYSIS, 2014,
  • [27] Fractional stochastic differential equations with applications to finance
    Nguyen Tien Dung
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2013, 397 (01) : 334 - 348
  • [28] Ergodicity for functional stochastic differential equations and applications
    Bao, Jianhai
    Yin, George
    Yuan, Chenggui
    NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2014, 98 : 66 - 82
  • [29] Applications of Stochastic differential equations to ecological data
    Preisler, HK
    MATHEMATICS AND MATHEMATICS EDUCATION, 2002, : 208 - 214
  • [30] APPLICATIONS OF ANTICIPATING STOCHASTIC CALCULUS TO STOCHASTIC DIFFERENTIAL-EQUATIONS
    PARDOUX, E
    LECTURE NOTES IN MATHEMATICS, 1990, 1444 : 63 - 105