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math.STSep 9, 2014
4
citations (OpenAlex)
authors
  • Shota Gugushvili
  • Peter Spreij
institutions
  • Leiden University
  • University of Amsterdam
arXiv abstractPDF
paper

Posterior contraction rate for non-parametric Bayesian estimation of the dispersion coefficient of a stochastic differential equation

arXiv:1409.2767 · doi:10.1051/ps/2016008

Abstract

We derive the posteror contraction rate for non-parametric Bayesian estimation of a deterministic dispersion coefficient of a linear stochastic differential equation.

11 pages

References in corpus (5)

  • Rates of contraction of posterior distributions based on Gaussian process priors
  • Misspecification in infinite-dimensional Bayesian statistics
  • Nonparametric Bayesian posterior contraction rates for discretely observed scalar diffusions
  • Gaussian process methods for one-dimensional diffusions: optimal rates and adaptation
  • Posterior contraction rate for non-parametric Bayesian estimation of the dispersion coefficient of a stochastic differential equation

Cited by in corpus (3)

  • Posterior contraction rate for non-parametric Bayesian estimation of the dispersion coefficient of a stochastic differential equation
  • Nonparametric Bayesian volatility estimation
  • Nonparametric Bayesian estimation of a Hölder continuous diffusion coefficient
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