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Approximate Bayesian computation (ABC) methods, which are applicable when the likelihood is difficult or impossible to calculate, are an active topic of current research. Most current ABC algorithms directly approximate the posterior…

统计计算 · 统计学 2012-12-10 Y. Fan , D. J. Nott , S. A. Sisson

Approximate Bayesian Computation (ABC) enables statistical inference in simulator-based models whose likelihoods are difficult to calculate but easy to simulate from. ABC constructs a kernel-type approximation to the posterior distribution…

统计方法学 · 统计学 2022-12-02 Yuexi Wang , Tetsuya Kaji , Veronika Ročková

Both Approximate Bayesian Computation (ABC) and composite likelihood methods are useful for Bayesian and frequentist inference, respectively, when the likelihood function is intractable. We propose to use composite likelihood score…

统计计算 · 统计学 2015-02-25 Erlis Ruli , Nicola Sartori , Laura Ventura

Bayesian inference is often used in cosmology and astrophysics to derive constraints on model parameters from observations. This approach relies on the ability to compute the likelihood of the data given a choice of model parameters. In…

宇宙学与河外天体物理 · 物理学 2015-09-16 Joel Akeret , Alexandre Refregier , Adam Amara , Sebastian Seehars , Caspar Hasner

Approximate Bayesian Computation (ABC) is typically used when the likelihood is either unavailable or intractable but where data can be simulated under different parameter settings using a forward model. Despite the recent interest in ABC,…

统计方法学 · 统计学 2019-12-24 Rafael Izbicki , Ann B. Lee , Taylor Pospisil

Approximate Bayesian computation (ABC) has gained popularity in recent years owing to its easy implementation, nice interpretation and good performance. Its advantages are more visible when one encounters complex models where maximum…

统计计算 · 统计学 2016-08-19 Xiaolong Zhong , Malay Ghosh

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

We are living in the big data era, as current technologies and networks allow for the easy and routine collection of data sets in different disciplines. Bayesian Statistics offers a flexible modeling approach which is attractive for…

统计方法学 · 统计学 2018-05-09 George Karabatsos , Fabrizio Leisen

The likelihood-free sequential Approximate Bayesian Computation (ABC) algorithms, are increasingly popular inference tools for complex biological models. Such algorithms proceed by constructing a succession of probability distributions over…

统计计算 · 统计学 2012-10-12 Daniel Silk , Saran Filippi , Michael P. H. Stumpf

Approximate Bayesian computation (ABC) refers to a family of inference methods used in the Bayesian analysis of complex models where evaluation of the likelihood is difficult. Conventional ABC methods often suffer from the curse of…

统计计算 · 统计学 2016-07-08 Jingjing Li , David J. Nott , Yanan Fan , Scott A. Sisson

Approximate Bayesian computation (ABC) is an approach for sampling from an approximate posterior distribution in the presence of a computationally intractable likelihood function. A common implementation is based on simulating model,…

统计方法学 · 统计学 2013-01-16 D. Prangle , M. G. B. Blum , G. Popovic , S. A. Sisson

Approximate Bayesian computation (ABC) methods perform inference on model-specific parameters of mechanistically motivated parametric statistical models when evaluating likelihoods is difficult. Central to the success of ABC methods is…

统计计算 · 统计学 2013-01-29 Erkan O. Buzbas , Noah A. Rosenberg

Approximate Bayesian Computation (ABC) is a useful class of methods for Bayesian inference when the likelihood function is computationally intractable. In practice, the basic ABC algorithm may be inefficient in the presence of discrepancy…

统计理论 · 数学 2015-05-14 Stefano Cabras , Maria Eugenia Castellanos Nueda , Erlis Ruli

Background: When conducting a meta-analysis of a continuous outcome, estimated means and standard deviations from the selected studies are required in order to obtain an overall estimate of the mean effect and its confidence interval. If…

统计方法学 · 统计学 2020-04-07 Deukwoo Kwon , Isildinha M. Reis

Approximate Bayesian computation methods can be used to evaluate posterior distributions without having to calculate likelihoods. In this paper we discuss and apply an approximate Bayesian computation (ABC) method based on sequential Monte…

统计计算 · 统计学 2009-01-15 Tina Toni , David Welch , Natalja Strelkowa , Andreas Ipsen , Michael P. H. Stumpf

ABC (approximate Bayesian computation) is a general approach for dealing with models with an intractable likelihood. In this work, we derive ABC algorithms based on QMC (quasi- Monte Carlo) sequences. We show that the resulting ABC…

统计计算 · 统计学 2018-05-08 Alexander Buchholz , Nicolas Chopin

Also known as likelihood-free methods, approximate Bayesian computational (ABC) methods have appeared in the past ten years as the most satisfactory approach to untractable likelihood problems, first in genetics then in a broader spectrum…

统计计算 · 统计学 2015-03-17 Jean-Michel Marin , Pierre Pudlo , Christian P. Robert , Robin Ryder

Approximate Bayesian computation (ABC) is commonly used for parameter estimation and model comparison for intractable simulator-based models whose likelihood function cannot be evaluated. In this paper we instead investigate the feasibility…

统计方法学 · 统计学 2022-09-13 Marko Järvenpää , Jukka Corander

Many modern statistical applications involve inference for complex stochastic models, where it is easy to simulate from the models, but impossible to calculate likelihoods. Approximate Bayesian computation (ABC) is a method of inference for…

统计方法学 · 统计学 2015-03-14 Paul Fearnhead , Dennis Prangle

Many statistical models can be simulated forwards but have intractable likelihoods. Approximate Bayesian Computation (ABC) methods are used to infer properties of these models from data. Traditionally these methods approximate the posterior…

机器学习 · 统计学 2018-04-03 George Papamakarios , Iain Murray