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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

Approximate Bayesian Computation (ABC) can be viewed as an analytic approximation of an intractable likelihood coupled with an elementary simulation step. Such a view, combined with a suitable instrumental prior distribution permits…

统计方法学 · 统计学 2013-01-04 F. J. Rubio , Adam M. Johansen

Mechanistic models of single-neuron dynamics have been extensively studied in computational neuroscience. However, identifying which models can quantitatively reproduce empirically measured data has been challenging. We propose to overcome…

Many scientifically well-motivated statistical models in natural, engineering and environmental sciences are specified through a generative process, but in some cases it may not be possible to write down a likelihood for these models…

统计计算 · 统计学 2018-10-10 Sanjay Chaudhuri , Subhro Ghosh , David J. Nott , Kim Cuc Pham

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

We propose a novel approach to approximate Bayesian computation (ABC) that seeks to cater for possible misspecification of the assumed model. This new approach can be equally applied to rejection-based ABC and to popular regression…

统计方法学 · 统计学 2020-08-11 David T. Frazier , Christopher Drovandi , Ruben Loaiza-Maya

Approximate Bayesian computation (ABC) using a sequential Monte Carlo method provides a comprehensive platform for parameter estimation, model selection and sensitivity analysis in differential equations. However, this method, like other…

机器学习 · 统计学 2015-07-21 Sanmitra Ghosh , Srinandan Dasmahapatra , Koushik Maharatna

Many models of interest in the natural and social sciences have no closed-form likelihood function, which means that they cannot be treated using the usual techniques of statistical inference. In the case where such models can be…

统计计算 · 统计学 2012-07-19 Simon Barthelmé , Nicolas Chopin

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

Approximate confidence distribution computing (ACDC) offers a new take on the rapidly developing field of likelihood-free inference from within a frequentist framework. The appeal of this computational method for statistical inference…

统计方法学 · 统计学 2022-10-13 Suzanne Thornton , Wentao Li , Minge Xie

Comparing competing mathematical models of complex natural processes is a shared goal among many branches of science. The Bayesian probabilistic framework offers a principled way to perform model comparison and extract useful metrics for…

With larger data at their disposal, scientists are emboldened to tackle complex questions that require sophisticated statistical models. It is not unusual for the latter to have likelihood functions that elude analytical formulations. Even…

统计计算 · 统计学 2019-05-17 Evgeny Levi , Radu V. Craiu

Reviews conducted by the National Academy of Sciences (2009) and the President's Council of Advisors on Science and Technology (2016) concluded that the field of forensic firearm comparisons has not been demonstrated to be scientifically…

应用统计 · 统计学 2024-03-27 Maria Cuellar , Susan Vanderplas , Amanda Luby , Michael Rosenblum

Composite likelihood provides approximate inference when the full likelihood is intractable and sub-likelihood functions of marginal events can be evaluated relatively easily. It has been successfully applied for many complex models.…

统计方法学 · 统计学 2024-09-05 Wentao Li , Rosabeth White , Dennis Prangle

This chapter will appear in the forthcoming Handbook of Approximate Bayesian Computation (2018). The conceptual and methodological framework that underpins approximate Bayesian computation (ABC) is targetted primarily towards problems in…

统计计算 · 统计学 2018-03-20 Christopher C Drovandi , Clara Grazian , Kerrie Mengersen , Christian Robert

Approximate Bayesian computation (ABC) performs statistical inference for otherwise intractable probability models by accepting parameter proposals when corresponding simulated datasets are sufficiently close to the observations. Producing…

统计计算 · 统计学 2014-12-05 Dennis Prangle

We consider Bayesian optimization of an expensive-to-evaluate black-box objective function, where we also have access to cheaper approximations of the objective. In general, such approximations arise in applications such as reinforcement…

机器学习 · 统计学 2016-11-16 Matthias Poloczek , Jialei Wang , Peter I. Frazier

An important problem for HCI researchers is to estimate the parameter values of a cognitive model from behavioral data. This is a difficult problem, because of the substantial complexity and variety in human behavioral strategies. We report…

While observational data are routinely used to estimate causal effects of biomedical treatments, doing so requires special methods to adjust for observed confounding. These methods invariably rely on untestable statistical and causal…

统计方法学 · 统计学 2026-03-02 Arman Oganisian

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