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
  • [1] Statistical inference for stochastic differential equations
    Craigmile, Peter
    Herbei, Radu
    Liu, Ge
    Schneider, Grant
    WILEY INTERDISCIPLINARY REVIEWS-COMPUTATIONAL STATISTICS, 2023, 15 (02)
  • [2] APPLICATIONS OF STOCHASTIC DIFFERENTIAL EQUATIONS
    TELLENBACH, U
    HELVETICA PHYSICA ACTA, 1975, 48 (04): : 534 - 534
  • [3] Stochastic differential equations and applications
    Borkar, VS
    CURRENT SCIENCE, 1999, 76 (02): : 128 - 128
  • [4] Covariance structure of parabolic stochastic partial differential equations
    Lang A.
    Larsson S.
    Schwab C.
    Stochastic Partial Differential Equations: Analysis and Computations, 2013, 1 (2) : :351 - 364
  • [5] ON THE STATISTICAL TREATMENT OF LINEAR STOCHASTIC DIFFERENCE EQUATIONS
    Mann, H. B.
    Wald, A.
    ECONOMETRICA, 1943, 11 (3-4) : 173 - 220
  • [6] A Benchmark for the Bayesian Inversion of Coefficients in Partial Differential Equations
    Aristoff, David
    Bangerth, Wolfgang
    SIAM REVIEW, 2023, 65 (04) : 1074 - 1105
  • [7] Difference methods for stochastic partial differential equations
    Roth, C
    ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK, 2002, 82 (11-12): : 821 - 830
  • [8] DIFFERENCE METHODS FOR STOCHASTIC ORDINARY DIFFERENTIAL EQUATIONS
    FRANKLIN, JN
    MATHEMATICS OF COMPUTATION, 1965, 19 (92) : 552 - &
  • [9] Functional Differential and Difference Equations with Applications
    Diblik, Josef
    Braverman, Elena
    Gyoeri, Istvan
    Rogovchenko, Yuriy
    Ruzickova, Miroslava
    Zafer, Agacik
    ABSTRACT AND APPLIED ANALYSIS, 2012,
  • [10] A Class of Stochastic Differential Equations in Banach Spaces and Applications to Stochastic Partial Differential Equations
    Prevot, Claudia
    Roeckner, Michael
    CONCISE COURSE ON STOCHASTIC PARTIAL DIFFERENTIAL EQUATIONS, 2007, 1905 : 55 - 103