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Schauer and Jan van Waaij}, title = {Adaptive nonparametric drift estimation for diffusion processes using Faber{\textendash}Schauder expansions}, journal = {Statistical Inference for Stochastic Processes} } @article{Bierkens_2021, doi = {10.1007/s11222-021-10008-8}, url = {https://doi.org/10.1007%2Fs11222-021-10008-8}, year = 2021, month = {apr}, publisher = {Springer Science and Business Media {LLC}}, volume = {31}, number = {3}, author = {Joris Bierkens and Sebastiano Grazzi and Frank van der Meulen and Moritz Schauer}, title = {A piecewise deterministic Monte Carlo method for diffusion bridges}, journal = {Statistics and Computing} } @article{Bierkens_2022, doi = {10.1007/s11222-022-10180-5}, url = {https://doi.org/10.1007%2Fs11222-022-10180-5}, year = 2022, month = {nov}, publisher = {Springer Science and Business Media {LLC}}, volume = {33}, number = {1}, author = {Joris Bierkens and Sebastiano Grazzi and Frank van der Meulen and Moritz Schauer}, title = {Sticky {PDMP} samplers for sparse and local inference problems}, journal = {Statistics and Computing} } @article{Gugushvili_2022, doi = {10.1007/s42081-022-00185-9}, url = {https://doi.org/10.1007%2Fs42081-022-00185-9}, year = 2022, month = {dec}, publisher = {Springer Science and Business Media {LLC}}, volume = {6}, number = {1}, pages = {551--571}, author = {Shota Gugushvili and Frank van der Meulen and Moritz Schauer and Peter Spreij}, title = {Nonparametric Bayesian volatility learning under microstructure noise}, journal = {Japanese Journal of Statistics and Data Science} } @article{van_der_Meulen_2014, doi = {10.1016/j.csda.2013.03.002}, url = {https://doi.org/10.1016%2Fj.csda.2013.03.002}, year = 2014, month = {mar}, publisher = {Elsevier {BV}}, volume = {71}, pages = {615--632}, author = {Frank van der Meulen and Moritz Schauer and Harry van Zanten}, title = {Reversible jump {MCMC} for nonparametric drift estimation for diffusion processes}, journal = {Computational Statistics {\&}amp$\mathsemicolon$ Data Analysis} } @article{Belomestny_2023, doi = {10.1016/j.indag.2023.03.004}, url = {https://doi.org/10.1016%2Fj.indag.2023.03.004}, year = 2023, month = {jul}, publisher = {Elsevier {BV}}, volume = {34}, number = {4}, pages = {820--829}, author = {Denis Belomestny and Shota Gugushvili and Moritz Schauer and Peter Spreij}, title = {Weak solutions to gamma-driven stochastic differential equations}, journal = {Indagationes Mathematicae} } @article{Bierkens_2020, doi = {10.1017/apr.2019.54}, url = {https://doi.org/10.1017%2Fapr.2019.54}, year = 2020, month = {mar}, publisher = {Cambridge University Press ({CUP})}, volume = {52}, number = {1}, pages = {173--212}, author = {Joris Bierkens and Frank van der Meulen and Moritz Schauer}, title = {Simulation of elliptic and hypo-elliptic conditional diffusions}, journal = {Advances in Applied Probability} } @article{Gugushvili_2019, doi = {10.1051/ps/2019019}, url = {https://doi.org/10.1051%2Fps%2F2019019}, year = 2019, publisher = {{EDP} Sciences}, volume = {23}, pages = {947--978}, author = {Shota Gugushvili and Frank van der Meulen and Moritz Schauer and Peter Spreij}, title = {Bayesian wavelet de-noising with the caravan prior}, journal = {{ESAIM}: Probability and Statistics} } @article{van_der_Meulen_2017, doi = {10.1080/17442508.2017.1381097}, url = {https://doi.org/10.1080%2F17442508.2017.1381097}, year = 2017, month = {oct}, publisher = {Informa {UK} Limited}, volume = {90}, number = {5}, pages = {641--662}, author = {Frank van der Meulen and Moritz Schauer}, title = {Bayesian estimation of incompletely observed diffusions}, journal = {Stochastics} } @article{Corstanje_2022, doi = {10.1080/17442508.2022.2150081}, url = {https://doi.org/10.1080%2F17442508.2022.2150081}, year = 2022, month = {dec}, publisher = {Informa {UK} Limited}, volume = {95}, number = {6}, pages = {963--996}, author = {Marc Corstanje and Frank van der Meulen and Moritz Schauer}, title = {Conditioning continuous-time Markov processes by guiding}, journal = {Stochastics} } @article{Arnaudon_2022, doi = {10.1137/21m1406283}, url = {https://doi.org/10.1137%2F21m1406283}, year = 2022, month = {mar}, publisher = {Society for Industrial {\&} Applied Mathematics ({SIAM})}, volume = {15}, number = {1}, pages = {293--323}, author = {Alexis Arnaudon and Frank van der Meulen and Moritz Schauer and Stefan Sommer}, title = {Diffusion Bridges for Stochastic Hamiltonian Systems and Shape Evolutions}, journal = {{SIAM} Journal on Imaging Sciences} } @article{van_der_Meulen_2017, doi = {10.1214/17-ejs1290}, url = {https://doi.org/10.1214%2F17-ejs1290}, year = 2017, month = {jan}, publisher = {Institute of Mathematical Statistics}, volume = {11}, number = {1}, author = {Frank van der Meulen and Moritz Schauer}, title = {Bayesian estimation of discretely observed multi-dimensional diffusion processes using guided proposals}, journal = {Electronic Journal of Statistics} } @article{Gugushvili_2020, doi = {10.1214/19-bjps433}, url = {https://doi.org/10.1214%2F19-bjps433}, year = 2020, month = {aug}, publisher = {Institute of Mathematical Statistics}, volume = {34}, number = {3}, author = {Shota Gugushvili and Frank van der Meulen and Moritz Schauer and Peter Spreij}, title = {Nonparametric Bayesian estimation of a Hölder continuous diffusion coefficient}, journal = {Brazilian Journal of Probability and Statistics} } @article{Mider_2021, doi = {10.1214/21-ejs1894}, url = {https://doi.org/10.1214%2F21-ejs1894}, year = 2021, month = {jan}, publisher = {Institute of Mathematical Statistics}, volume = {15}, number = {2}, author = {Marcin Mider and Moritz Schauer and Frank van der Meulen}, title = {Continuous-discrete smoothing of diffusions}, journal = {Electronic Journal of Statistics} } @article{2022, doi = {10.21105/jcon.00092}, url = {https://doi.org/10.21105%2Fjcon.00092}, year = 2022, month = {jul}, publisher = {The Open Journal}, volume = {1}, number = {1}, pages = {92}, title = {Applied Measure Theory for Probabilistic Modeling}, journal = {{JuliaCon} Proceedings} } @article{Schauer_2017, doi = {10.3150/16-bej833}, url = {https://doi.org/10.3150%2F16-bej833}, year = 2017, month = {nov}, publisher = {Bernoulli Society for Mathematical Statistics and Probability}, volume = {23}, number = {4A}, author = {Moritz Schauer and Frank van der Meulen and Harry van Zanten}, title = {Guided proposals for simulating multi-dimensional diffusion bridges}, journal = {Bernoulli} } @article{Belomestny_2022, doi = {10.3150/21-bej1413}, url = {https://doi.org/10.3150%2F21-bej1413}, year = 2022, month = {nov}, publisher = {Bernoulli Society for Mathematical Statistics and Probability}, volume = {28}, number = {4}, author = {Denis Belomestny and Shota Gugushvili and Moritz Schauer and Peter Spreij}, title = {Nonparametric Bayesian volatility estimation for gamma-driven stochastic differential equations}, journal = {Bernoulli} } @article{Belomestny_2019, doi = {10.4310/cms.2019.v17.n3.a8}, url = 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