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In this article we consider Bayesian parameter inference associated to partially-observed stochastic processes that start from a set B0 and are stopped or killed at the first hitting time of a known set A. Such processes occur naturally…

统计计算 · 统计学 2012-01-19 Ajay Jasra , Nikolas Kantas

Approximate Bayesian Computational (ABC) methods (or likelihood-free methods) have appeared in the past fifteen years as useful methods to perform Bayesian analyses when the likelihood is analytically or computationally intractable. Several…

统计方法学 · 统计学 2012-05-01 Meili Baragatti , Agnès Grimaud , Denys Pommeret

To infer the parameters of mechanistic models with intractable likelihoods, techniques such as approximate Bayesian computation (ABC) are increasingly being adopted. One of the main disadvantages of ABC in practical situations, however, is…

统计计算 · 统计学 2018-08-03 Jonathan U Harrison , Ruth E Baker

Approximate Bayesian computation (ABC) is now an established technique for statistical inference used in cases where the likelihood function is computationally expensive or not available. It relies on the use of a~model that is specified in…

统计计算 · 统计学 2020-06-02 Richard G. Everitt , Paulina A. Rowińska

In this paper we propose to evaluate and compare Markov chain Monte Carlo (MCMC) methods to estimate the parameters in a generalized extreme value model. We employed the Bayesian approach using traditional Metropolis-Hastings methods,…

统计计算 · 统计学 2016-11-03 Marcelo Hartmann , Ricardo Ehlers

Spectral subsampling MCMC was recently proposed to speed up Markov chain Monte Carlo (MCMC) for long stationary univariate time series by subsampling periodogram observations in the frequency domain. This article extends the approach to…

统计方法学 · 统计学 2022-09-20 Mattias Villani , Matias Quiroz , Robert Kohn , Robert Salomone

In many inference problems, the evaluation of complex and costly models is often required. In this context, Bayesian methods have become very popular in several fields over the last years, in order to obtain parameter inversion, model…

计算工程、金融与科学 · 计算机科学 2021-07-21 Luca Martino , Víctor Elvira , Javier López-Santiago , Gustau Camps-Valls

Varying coefficient models (VCMs) are widely used for estimating nonlinear regression functions for functional data. Their Bayesian variants using Gaussian process priors on the functional coefficients, however, have received limited…

统计方法学 · 统计学 2022-03-01 Rajarshi Guhaniyogi , Cheng Li , Terrance D. Savitsky , Sanvesh Srivastava

Functional mixed models are widely useful for regression analysis with dependent functional data, including longitudinal functional data with scalar predictors. However, existing algorithms for Bayesian inference with these models only…

统计方法学 · 统计学 2023-06-14 Thomas Y. Sun , Daniel R. Kowal

Methods of approximate Bayesian computation (ABC) are increasingly used for analysis of complex models. A major challenge for ABC is over-coming the often inherent problem of high rejection rates in the accept/reject methods based on…

统计计算 · 统计学 2015-03-27 Fernando V. Bonassi , Mike West

Markov Chain Monte Carlo (MCMC) is a well-established family of algorithms primarily used in Bayesian statistics to sample from a target distribution when direct sampling is challenging. Existing work on Bayesian decision trees uses MCMC.…

统计计算 · 统计学 2023-01-24 Efthyvoulos Drousiotis , Paul G. Spirakis , Simon Maskell

Inferring parameter distributions of complex industrial systems from noisy time series data requires methods to deal with the uncertainty of the underlying data and the used simulation model. Bayesian inference is well suited for these…

应用统计 · 统计学 2021-06-18 David N. John , Livia Stohrer , Claudia Schillings , Michael Schick , Vincent Heuveline

Markov chain Monte Carlo (MCMC) methods are foundational algorithms for Bayesian inference and probabilistic modeling. However, most MCMC algorithms are inherently sequential and their time complexity scales linearly with the sequence…

统计计算 · 统计学 2025-12-03 David M. Zoltowski , Skyler Wu , Xavier Gonzalez , Leo Kozachkov , Scott W. Linderman

Many modern statistical applications involve inference for complicated stochastic models for which the likelihood function is difficult or even impossible to calculate, and hence conventional likelihood-based inferential echniques cannot be…

统计计算 · 统计学 2013-05-29 Simon R. White , Theodore Kypraios , Simon P. Preston

Bayesian computation crucially relies on Markov chain Monte Carlo (MCMC) algorithms. In the case of massive data sets, running the Metropolis-Hastings sampler to draw from the posterior distribution becomes prohibitive due to the large…

统计计算 · 统计学 2015-12-07 Roberto Casarin , Radu V. Craiu , Fabrizio Leisen

Approximate Bayesian Computation (ABC) methods are increasingly used for inference in situations in which the likelihood function is either computationally costly or intractable to evaluate. Extensions of the basic ABC rejection algorithm…

统计计算 · 统计学 2020-05-01 Umberto Simola , Jessica Cisewski-Kehe , Michael U. Gutmann , Jukka Corander

This paper introduces a framework for speeding up Bayesian inference conducted in presence of large datasets. We design a Markov chain whose transition kernel uses an (unknown) fraction of (fixed size) of the available data that is randomly…

统计方法学 · 统计学 2018-06-01 Florian Maire , Nial Friel , Pierre Alquier

Spatial whole-brain Bayesian modeling of task-related functional magnetic resonance imaging (fMRI) is a great computational challenge. Most of the currently proposed methods therefore do inference in subregions of the brain separately or do…

统计计算 · 统计学 2017-01-03 Per Sidén , Anders Eklund , David Bolin , Mattias Villani

Markov chain Monte Carlo (MCMC) methods are powerful computational tools for analysis of complex statistical problems. However, their computational efficiency is highly dependent on the chosen proposal distribution, which is generally…

统计理论 · 数学 2014-10-02 Isambi S. Mbalawata , Simo Särkkä , Matti Vihola , Heikki Haario

Approximate Bayesian Computation (ABC) is a popular inference method when likelihoods are hard to come by. Practical bottlenecks of ABC applications include selecting statistics that summarize the data without losing too much information or…

统计计算 · 统计学 2026-05-15 Khanh N. Dinh , Cécile Liu , Zijin Xiang , Zhihan Liu , Simon Tavaré