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This paper reviews background and examples of Bayesian predictive synthesis (BPS), and develops details in a subset of BPS mixture models. BPS expands on standard Bayesian model uncertainty analysis for model mixing to provide a broader…

统计方法学 · 统计学 2023-05-04 Matthew C. Johnson , Mike West

Bayesian probability theory is used to analyze the oft-made assumption that humans are typical observers in the universe. Some theoretical calculations make the {\it selection fallacy} that we are randomly chosen from a class of objects by…

高能物理 - 理论 · 物理学 2008-11-26 James B. Hartle , Mark Srednicki

Past research on pedestrian trajectory forecasting mainly focused on deterministic predictions which provide only point estimates of future states. These future estimates can help an autonomous vehicle plan its trajectory and avoid…

机器学习 · 计算机科学 2023-01-16 Anshul Nayak , Azim Eskandarian , Zachary Doerzaph

Cohort effects are important factors in determining the evolution of human mortality for certain countries. Extensions of dynamic mortality models with cohort features have been proposed in the literature to account for these factors under…

统计金融 · 定量金融 2019-02-20 Man Chung Fung , Gareth W. Peters , Pavel V. Shevchenko

Binary regression models represent a popular model-based approach for binary classification. In the Bayesian framework, computational challenges in the form of the posterior distribution motivate still-ongoing fruitful research. Here, we…

统计计算 · 统计学 2023-09-06 Augusto Fasano , Niccolò Anceschi , Beatrice Franzolini , Giovanni Rebaudo

This article presents a Bayesian implementation of a cumulative probit model to forecast the outcomes of the UEFA Champions League matches. The argument of the normal CDF involves a cut-off point, a home vs away playing effect and the…

应用统计 · 统计学 2015-02-16 Jean-Louis Foulley

Accuracy in fertility forecasting has proved challenging and warrants renewed attention. One way to improve accuracy is to combine the strengths of a set of existing models through model averaging. The model-averaged forecast is derived…

应用统计 · 统计学 2020-09-21 Han Lin Shang , Heather Booth

Historically, matrix projection models (MPMs) have been employed to study population dynamics with regard to size, age or structure. To work with continuous traits, in the past decade, integral projection models (IPMs) have been proposed.…

统计方法学 · 统计学 2013-12-30 Alan E. Gelfand , Souparno Ghosh , James S. Clark

A Bayesian network is a widely used probabilistic graphical model with applications in knowledge discovery and prediction. Learning a Bayesian network (BN) from data can be cast as an optimization problem using the well-known…

人工智能 · 计算机科学 2020-09-01 Zhenyu A. Liao , Charupriya Sharma , James Cussens , Peter van Beek

The two key issues of modern Bayesian statistics are: (i) establishing principled approach for distilling statistical prior that is consistent with the given data from an initial believable scientific prior; and (ii) development of a…

统计方法学 · 统计学 2018-04-18 Subhadeep , Mukhopadhyay , Douglas Fletcher

For exponentially distributed lifetimes, we consider the prediction of future order statistics based on having observed the first $m$ order statistics. We focus on the previously less explored aspects of predicting: (i) an arbitrary pair of…

统计理论 · 数学 2024-03-12 Akbar Asgharzadeh , Éric Marchand , Ali Saadati Nik

Cluster sampling is common in survey practice, and the corresponding inference has been predominantly design-based. We develop a Bayesian framework for cluster sampling and account for the design effect in the outcome modeling. We consider…

统计方法学 · 统计学 2020-06-24 Susanna Makela , Yajuan Si , Andrew Gelman

Probability forecasting is common in the geosciences, the finance sector, and elsewhere. It is sometimes the case that one has multiple probability-forecasts for the same target. How is the information in these multiple forecast systems…

统计方法学 · 统计学 2016-03-02 Sarah Higgins , Hailiang Du , Leonard A. Smith

Polygenic risk scores (PRS) developed from genome-wide association studies (GWAS) can be used for risk stratification by quantifying the genetic contribution to disease, and many clinical applications have been proposed. Bayesian methods…

统计方法学 · 统计学 2026-03-11 Yuzheng Dun , Nilanjan Chatterjee , Jin Jin , Akihiko Nishimura

Unlike classification, whose goal is to estimate the class of each data point in a dataset, prevalence estimation or quantification is a task that aims to estimate the distribution of classes in a dataset. The two main tasks in prevalence…

机器学习 · 统计学 2025-07-09 Aime Bienfait Igiraneza , Christophe Fraser , Robert Hinch

Bayesian clustering methods have the widely touted advantage of providing a probabilistic characterization of uncertainty in clustering through the posterior distribution. An amazing variety of priors and likelihoods have been proposed for…

统计方法学 · 统计学 2025-11-21 Garritt L. Page , Andrés F. Barrientos , David B. Dahl , David B. Dunson

Most population projection models require age-specific information on net migration totals as a key demographic component of population change. Existing methods for predicting future patterns of net migration by age have proven inadequate.…

应用统计 · 统计学 2024-11-18 Hana Ševčíková , James Raymer , Adrian E. Raftery

Stellar evolution theory has been extraordinarily successful at explaining the different phases under which stars form, evolve and die. While the strongest constraints have traditionally come from binary stars, the advent of…

星系天体物理 · 物理学 2016-07-12 D. Valls-Gabaud

Knowledge of population distribution is critical for building infrastructure, distributing resources, and monitoring the progress of sustainable development goals. Although censuses can provide this information, they are typically conducted…

机器学习 · 计算机科学 2021-10-07 Isaac Neal , Sohan Seth , Gary Watmough , Mamadou S. Diallo

We combine Bayesian prediction and weighted inference as a unified approach to survey inference. The general principles of Bayesian analysis imply that models for survey outcomes should be conditional on all variables that affect the…

统计方法学 · 统计学 2020-06-24 Yajuan Si , Rob Trangucci , Jonah Sol Gabry , Andrew Gelman