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In this paper we introduce objective proper prior distributions for hypothesis testing and model selection based on measures of divergence between the competing models; we call them divergence based (DB) priors. DB priors have simple forms…

统计方法学 · 统计学 2009-02-27 M. J. Bayarri , G. García-Donato

Specification of the prior distribution for a Bayesian model is a central part of the Bayesian workflow for data analysis, but it is often difficult even for statistical experts. In principle, prior elicitation transforms domain knowledge…

The measurement of the efficiency of an event selection is always an important part of the analysis of experimental data. The statistical techniques which are needed to determine the efficiency and its uncertainty are reviewed. Frequentist…

数据分析、统计与概率 · 物理学 2012-08-28 Diego Casadei

A common concern with Bayesian methodology in scientific contexts is that inferences can be heavily influenced by subjective biases. As presented here, there are two types of bias for some quantity of interest: bias against and bias in…

统计理论 · 数学 2019-03-06 Michael Evans , Yang Guo

The advent of Generative Artificial Intelligence (GAI) has heralded an inflection point that changed how society thinks about knowledge acquisition. While GAI cannot be fully trusted for decision-making, it may still provide valuable…

统计方法学 · 统计学 2025-05-20 Sean O'Hagan , Veronika Ročková

Modern predictive systems encode beliefs that can act as useful prior information for statistical inference in data-limited settings. Using them for prior construction introduces a tradeoff: an informative prior built from a predictive…

机器学习 · 统计学 2026-05-12 Jongwoo Choi , Sean O'Hagan

Evaluation of counterfactual queries (e.g., "If A were true, would C have been true?") is important to fault diagnosis, planning, and determination of liability. In this paper we present methods for computing the probabilities of such…

人工智能 · 计算机科学 2013-02-28 Alexander Balke , Judea Pearl

Confirmation bias is a cognitive bias that adversely affects management decisions, and mathematical modelling is an aid to its detailed understanding. Bias in opinion update about the value of a parameter is modelled here assuming that…

其他统计学 · 统计学 2022-02-08 Rose D Baker

Many scientific and industrial processes produce data that is best analysed as vectors of relative values, often called compositions or proportions. The Dirichlet distribution is a natural distribution to use for composition or proportion…

统计方法学 · 统计学 2020-04-15 Sean van der Merwe

Bayesian A/B testing investigates metric changes using the joint posterior distribution of two (or more) experimentally-derived datasets. The construction of said joint posterior is often a time-consuming process requiring specialized…

统计方法学 · 统计学 2025-08-12 Dustin Hayden , Thomas Armitage

Bayesian nonparametric statistics is an area of considerable research interest. While recently there has been an extensive concentration in developing Bayesian nonparametric procedures for model checking, the use of the Dirichlet process,…

统计理论 · 数学 2019-03-15 Luai Al-Labadi , Viskakh Patel , Kasra Vakiloroayaei , Clement Wan

Any Bayesian analysis involves combining information represented through different model components, and when different sources of information are in conflict it is important to detect this. Here we consider checking for prior-data conflict…

统计方法学 · 统计学 2020-08-04 David J. Nott , Max Seah , Luai Al-Labadi , Michael Evans , Hui Khoon Ng , Berthold-Georg Englert

This paper proposes a unified theoretical model to identify and test a comprehensive set of probabilistic updating biases within a single framework. The model achieves separate identification by focusing on the updating of belief…

综合经济学 · 经济学 2026-03-27 Pedro Gonzalez-Fernandez

In a Bayesian context, prior specification for inference on monotone densities is conceptually straightforward, but proving posterior convergence theorems is complicated by the fact that desirable prior concentration properties often are…

统计理论 · 数学 2020-07-28 Ryan Martin

Preference elicitation explicitly asks users what kind of recommendations they would like to receive. It is a popular technique for conversational recommender systems to deal with cold-starts. Previous work has studied selection bias in…

信息检索 · 计算机科学 2024-05-02 Shashank Gupta , Harrie Oosterhuis , Maarten de Rijke

Predictions in the form of sets of probability distributions, so-called credal sets, provide a suitable means to represent a learner's epistemic uncertainty. In this paper, we propose a theoretically grounded approach to credal prediction…

机器学习 · 统计学 2025-12-16 Timo Löhr , Paul Hofman , Felix Mohr , Eyke Hüllermeier

While decision theory provides an appealing normative framework for representing rich preference structures, eliciting utility or value functions typically incurs a large cost. For many applications involving interactive systems this…

人工智能 · 计算机科学 2013-02-01 Vu A. Ha , Peter Haddawy

To understand biological diversification, it is important to account for large-scale processes that affect the evolutionary history of groups of co-distributed populations of organisms. Such events predict temporally clustered divergences…

种群与进化 · 定量生物学 2014-08-11 Jamie R. Oaks

It is important to collect credible training samples $(x,y)$ for building data-intensive learning systems (e.g., a deep learning system). Asking people to report complex distribution $p(x)$, though theoretically viable, is challenging in…

机器学习 · 计算机科学 2021-02-26 Jiaheng Wei , Zuyue Fu , Yang Liu , Xingyu Li , Zhuoran Yang , Zhaoran Wang

Big data presents potential but unresolved value as a source for analysis and inference. However,selection bias, present in many of these datasets, needs to be accounted for so that appropriate inferences can be made on the target…

统计方法学 · 统计学 2025-01-09 Lyndon Ang , Robert Clark , Bronwyn Loong , Anders Holmberg