Searched for: subject%3A%22Diffusion%255C+Bridge%22
(1 - 8 of 8)
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Mider, Marcin (author), Schauer, Moritz (author), van der Meulen, F.H. (author)
Suppose X is a multivariate diffusion process that is observed discretely in time. At each observation time, a transformation of the state of the process is observed with noise. The smoothing problem consists of recovering the path of the process, consistent with the observations. We derive a novel Markov Chain Monte Carlo algorithm to sample...
journal article 2021
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Bierkens, G.N.J.C. (author), Grazzi, S. (author), van der Meulen, F.H. (author), Schauer, M.R. (author)
We introduce the use of the Zig-Zag sampler to the problem of sampling conditional diffusion processes (diffusion bridges). The Zig-Zag sampler is a rejection-free sampling scheme based on a non-reversible continuous piecewise deterministic Markov process. Similar to the Lévy–Ciesielski construction of a Brownian motion, we expand the...
journal article 2021
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Bierkens, G.N.J.C. (author), van der Meulen, F.H. (author), Schauer, M.R. (author)
Suppose X is a multidimensional diffusion process. Assume that at time zero the state of X is fully observed, but at time 0$ ]]> only linear combinations of its components are observed. That is, one only observes the vector for a given matrix L. In this paper we show how samples from the conditioned process can be generated. The main...
journal article 2020
document
Corstanje, Marc (author)
When data in higher dimensions with a certain constraint on it, say a set of locations on a sphere, is encountered, some classical statistical analysis methods fail, as the data no longer assumes its values in a linear space. In this thesis we consider such datasets and aim to do likelihood-based inference on the center of the data. To model the...
master thesis 2019
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Schauer, M.R. (author), van der Meulen, F.H. (author), Van Zanten, Harry (author)
A Monte Carlo method for simulating a multi-dimensional diffusion process conditioned on hitting a fixed point at a fixed future time is developed. Proposals for such diffusion bridges are obtained by superimposing an additional guiding term to the drift of the process under consideration. The guiding term is derived via approximation of the...
journal article 2017
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van der Meulen, F.H. (author), Schauer, M.R. (author)
Estimation of parameters of a diffusion based on discrete time observations poses a difficult problem due to the lack of a closed form expression for the likelihood. From a Bayesian computational perspective it can be casted as a missing data problem where the diffusion bridges in between discrete-time observations are missing. The...
journal article 2017
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van der Meulen, F.H. (author), Schauer, M.R. (author)
We present a general framework for Bayesian estimation of incompletely observed multivariate diffusion processes. Observations are assumed to be discrete in time, noisy and incomplete. We assume the drift and diffusion coefficient depend on an unknown parameter. A data-augmentation algorithm for drawing from the posterior distribution is...
journal article 2017
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Schauer, M. (author)
In dit proefschrift bestuderen we diffusie processen, it zijn Markovprocessen met continue paden in een euclidische ruimte die bepaalde stochastische differentiaalvergelijkingen oplossen. Wij ontwikkelen en implementeren Bayesiaanse procedures voor de schatting van de drift en diffusie coefficienten wanneer slechts discrete observaties van het...
doctoral thesis 2015
Searched for: subject%3A%22Diffusion%255C+Bridge%22
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