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Random forests are popular methods for regression and classification analysis, and many different variants have been proposed in recent years. One interesting example is the Mondrian random forest, in which the underlying constituent trees…

统计理论 · 数学 2025-11-10 Matias D. Cattaneo , Jason M. Klusowski , William G. Underwood

Raking is widely used in categorical data modeling and survey practice but faced with methodological and computational challenges. We develop a Bayesian paradigm for raking by incorporating the marginal constraints as a prior distribution…

统计方法学 · 统计学 2020-06-24 Yajuan Si , Peigen Zhou

Statistical analyses of multipopulation studies often use the data to select a particular population as the target of inference. For example, a confidence interval may be constructed for a population only in the event that its sample mean…

统计理论 · 数学 2025-09-18 Peter Hoff , Surya Tokdar

Given i.i.d. data from an unknown distribution, we consider the problem of predicting future items. An adaptive way to estimate the probability density is to recursively subdivide the domain to an appropriate data-dependent granularity. A…

统计理论 · 数学 2007-06-13 Marcus Hutter

In the case of informative sampling the sampling scheme explicitly or implicitly depends on the response variable. As a result, the sample distribution of response variable can- not be used for making inference about the population. In this…

应用统计 · 统计学 2016-11-18 Anna Sikov

Bayesian analysis is increasingly popular for use in social science and other application areas where the data are observations from an informative sample. An informative sampling design leads to inclusion probabilities that are correlated…

统计理论 · 数学 2016-06-07 Terrance D. Savitsky , Daniell Toth

Given i.i.d. data from an unknown distribution, we consider the problem of predicting future items. An adaptive way to estimate the probability density is to recursively subdivide the domain to an appropriate data-dependent granularity. A…

概率论 · 数学 2009-12-30 Marcus Hutter

In ecology, the description of species composition and biodiversity calls for statistical methods that involve estimating features of interest in unobserved samples based on an observed one. In the last decade, the Bayesian nonparametrics…

统计方法学 · 统计学 2026-04-28 Alessandro Colombi , Raffaele Argiento , Federico Camerlenghi , Lucia Paci

Constraints are a natural choice for prior information in Bayesian inference. In various applications, the parameters of interest lie on the boundary of the constraint set. In this paper, we use a method that implicitly defines a…

统计理论 · 数学 2022-09-27 Jasper Marijn Everink , Yiqiu Dong , Martin Skovgaard Andersen

We propose an approximate hierarchical Bayes approach that uses the Natural Exponential Family with Quadratic Variance Function in combining information from multiple sources to improve traditional survey estimates of finite population…

统计方法学 · 统计学 2025-12-25 Soumojit Das , Partha Lahiri

This paper describes a Bayesian method for learning causal networks using samples that were selected in a non-random manner from a population of interest. Examples of data obtained by non-random sampling include convenience samples and…

人工智能 · 计算机科学 2013-01-18 Gregory F. Cooper

When using machine learning for imbalanced binary classification problems, it is common to subsample the majority class to create a (more) balanced training dataset. This biases the model's predictions because the model learns from data…

机器学习 · 计算机科学 2025-11-03 Nathan Phelps , Daniel J. Lizotte , Douglas G. Woolford

In surveys, the interest lies in estimating finite population parameters such as population totals and means. In most surveys, some auxiliary information is available at the estimation stage. This information may be incorporated in the…

统计方法学 · 统计学 2022-08-23 Mehdi Dagdoug , Camelia Goga , David Haziza

We present a method for learning treewidth-bounded Bayesian networks from data sets containing thousands of variables. Bounding the treewidth of a Bayesian greatly reduces the complexity of inferences. Yet, being a global property of the…

人工智能 · 计算机科学 2016-05-12 Mauro Scanagatta , Giorgio Corani , Cassio P. de Campos , Marco Zaffalon

This work presents novel algorithms for learning Bayesian network structures with bounded treewidth. Both exact and approximate methods are developed. The exact method combines mixed-integer linear programming formulations for structure…

人工智能 · 计算机科学 2014-06-09 Siqi Nie , Denis Deratani Maua , Cassio Polpo de Campos , Qiang Ji

This paper explores Bayesian inference for a biased sampling model in situations where the population of interest cannot be sampled directly, but rather through an indirect and inherently biased method. Observations are viewed as being the…

应用统计 · 统计学 2007-11-26 Russell Zaretzki , Michael A. Gilchrist , William M. Briggs , Artin Armagan

In this paper we develop a likelihood-free approach for population calibration, which involves finding distributions of model parameters when fed through the model produces a set of outputs that matches available population data. Unlike…

统计方法学 · 统计学 2022-02-07 Christopher Drovandi , Brodie Lawson , Adrianne L Jenner , Alexander P Browning

This work develops formal statistical inference procedures for machine learning ensemble methods. Ensemble methods based on bootstrapping, such as bagging and random forests, have improved the predictive accuracy of individual trees, but…

机器学习 · 统计学 2015-09-11 Lucas Mentch , Giles Hooker

This paper devises a fully Bayesian sample size determination method for hierarchical model-based small area estimation with a decision risk approach. A new loss function specified around a desired maximum posterior variance target…

统计方法学 · 统计学 2018-02-27 Peter Dutey-Magni

In this paper, we develop an exact method for the determination of the minimum sample size for estimating the proportion of a finite population with prescribed margin of error and confidence level. By characterizing the behavior of the…

统计理论 · 数学 2007-08-03 Xinjia Chen