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The choice of the summary statistics used in Bayesian inference and in particular in ABC algorithms has bearings on the validation of the resulting inference. Those statistics are nonetheless customarily used in ABC algorithms without…

统计理论 · 数学 2013-08-23 J. -M. Marin , N. Pillai , C. P. Robert , J. Rousseau

One of the main problems of importance sampling in Bayesian networks is representation of the importance function, which should ideally be as close as possible to the posterior joint distribution. Typically, we represent an importance…

人工智能 · 计算机科学 2012-07-09 Changhe Yuan , Marek J. Druzdzel

This paper investigates interval estimation for a measurand that is known to be positive. Both the Neyman and Bayesian procedures are considered and the difference between the two, not always perceived, is discussed in detail. A solution is…

统计理论 · 数学 2015-06-18 Giovanni Mana , CArlo Palmisano

The network scale-up method (NSUM) is a survey-based method for estimating the number of individuals in a hidden or hard-to-reach subgroup of a general population. In NSUM surveys, sampled individuals report how many others they know in the…

统计方法学 · 统计学 2021-11-19 Nathaniel Josephs , Dennis M. Feehan , Forrest W. Crawford

We consider a Bayesian framework for estimating the sample size of a clinical trial. The new approach, called BESS, is built upon three pillars: Sample size of the trial, Evidence from the observed data, and Confidence of the final decision…

统计方法学 · 统计学 2026-01-21 Dehua Bi , Yuan Ji

Bayesian inference and the use of posterior or posterior predictive probabilities for decision making have become increasingly popular in clinical trials. The current practice in Bayesian clinical trials relies on a hybrid…

统计方法学 · 统计学 2024-04-30 Shirin Golchi , James Willard

In Bayesian hypothesis testing, evidence for a statistical model is quantified by the Bayes factor, which represents the relative likelihood of observed data under that model compared to another competing model. In general, computing Bayes…

统计计算 · 统计学 2021-12-07 Thomas J. Faulkenberry

We discuss the use of the Bayesian evidence ratio, or Bayes factor, for model selection in astronomy. We treat the evidence ratio as a statistic and investigate its distribution over an ensemble of experiments, considering both simple…

天体物理仪器与方法 · 物理学 2015-05-27 C. R. Jenkins , J. A. Peacock

Recent decades have seen an interest in prediction problems for which Bayesian methodology has been used ubiquitously. Sampling from or approximating the posterior predictive distribution in a Bayesian model allows one to make inferential…

机器学习 · 统计学 2017-09-12 Giri Gopalan

We consider Bayesian sample size determination using a criterion that utilizes the first two moments of the expected posterior variance. We study the resulting sample size in dependence on the chosen prior and explore the success rate for…

统计理论 · 数学 2020-02-28 Jörg Martin , Clemens Elster

One of the main current challenges in itemset mining is to discover a small set of high-quality itemsets. In this paper we propose a new and general approach for measuring the quality of itemsets. The method is solidly founded in Bayesian…

数据库 · 计算机科学 2019-02-12 Nikolaj Tatti

Randomised field experiments, such as A/B testing, have long been the gold standard for evaluating the value that new software brings to customers. However, running randomised field experiments is not always desired, possible or even…

软件工程 · 计算机科学 2022-07-04 Yuchu Liu , David Issa Mattos , Jan Bosch , Helena Holmström Olsson , Jonn Lantz

Bayesian network modelling is a well adapted approach to study messy and highly correlated datasets which are very common in, e.g., systems epidemiology. A popular approach to learn a Bayesian network from an observational datasets is to…

机器学习 · 统计学 2018-08-06 Gilles Kratzer , Reinhard Furrer

A prediction interval covers a future observation from a random process in repeated sampling, and is typically constructed by identifying a pivotal quantity that is also an ancillary statistic. Analogously, a tolerance interval covers a…

统计方法学 · 统计学 2022-01-19 Geoffrey S Johnson

Bayesian Personalized Ranking (BPR) is a representative pairwise learning method for optimizing recommendation models. It is widely known that the performance of BPR depends largely on the quality of negative sampler. In this paper, we make…

信息检索 · 计算机科学 2018-09-24 Jingtao Ding , Guanghui Yu , Xiangnan He , Yong Li , Depeng Jin

This article presents a pragmatic framework for making formal, utility-based decisions from statistical inferences. The method calculates an expected utility score for an intervention by combining Bayesian posterior probabilities of…

统计方法学 · 统计学 2025-11-11 Will G. Hopkins

In many instances, the application of approximate Bayesian methods is hampered by two practical features: 1) the requirement to project the data down to low-dimensional summary, including the choice of this projection, which ultimately…

统计方法学 · 统计学 2020-06-26 David T. Frazier

Entropy is a measure of heterogeneity widely used in applied sciences, often when data are collected over space. Recently, a number of approaches has been proposed to include spatial information in entropy. The aim of entropy is to…

统计理论 · 数学 2019-11-12 Linda Altieri , Daniela Cocchi , Giulia Roli

A new class of general exponential ranking models is introduced which we label angle-based models for ranking data. A consensus score vector is assumed, which assigns scores to a set of items, where the scores reflect a consensus view of…

统计方法学 · 统计学 2017-12-27 Hang Xu , Mayer Alvo , Philip L. H. Yu

Model-assisted estimation with complex survey data is an important practical problem in survey sampling. When there are many auxiliary variables, selecting significant variables associated with the study variable would be necessary to…

统计方法学 · 统计学 2020-04-01 Shonosuke Sugasawa , Jae Kwang Kim