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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

Classification approaches based on the direct estimation and analysis of posterior probabilities will degrade if the original class priors begin to change. We prove that a unique (up to scale) solution is possible to recover the data…

机器学习 · 计算机科学 2022-01-26 Jim Davis

This paper considers the evaluation of discretely distributed treatments when outcomes are only observed for a subpopulation due to sample selection or outcome attrition. For identification, we combine a selection-on-observables assumption…

计量经济学 · 经济学 2021-07-16 Michela Bia , Martin Huber , Lukáš Lafférs

Two different approaches to dealing with probabilistic knowledge are examined -models and inductive inference. Examples of the first are: influence diagrams [1], Bayesian networks [2], log-linear models [3, 4]. Examples of the second are:…

人工智能 · 计算机科学 2013-04-12 Norman C. Dalkey

Astronomers are often confronted with funky populations and distributions of objects: brighter objects are more likely to be detected; targets are selected based on colour cuts; imperfect classification yields impure samples. Failing to…

宇宙学与河外天体物理 · 物理学 2017-06-21 Samuel R. Hinton , Alex Kim , Tamara M. Davis

In this paper, I propose a method for correcting sample selection bias when the outcome of interest is categorical, such as occupational choice, health status, or field of study. Classical approaches to sample selection rely on strong…

计量经济学 · 经济学 2025-11-11 Onil Boussim

Researchers in psychology characterize decision-making as a process of eliminating options. While statistical modelling typically focuses on the eventual choice, we analyze consideration sets describing, for each survey participant, all…

统计方法学 · 统计学 2023-07-27 Dominik Kreiss , Thomas Augustin

Comprehensible explanations of probabilistic reasoning are a prerequisite for wider acceptance of Bayesian methods in expert systems and decision support systems. A study of human reasoning under uncertainty suggests two different…

人工智能 · 计算机科学 2013-04-05 Max Henrion , Marek J. Druzdzel

In this paper we show that there is a link between approximate Bayesian methods and prior robustness. We show that what is typically recognized as an approximation to the likelihood, either due to the simulated data as in the Approximate…

统计方法学 · 统计学 2020-04-03 Chaitanya Joshi , Fabrizio Ruggeri

In this paper, we seek to establish asymptotic results for selective inference procedures removing the assumption of Gaussianity. The class of selection procedures we consider are determined by affine inequalities, which we refer to as…

统计理论 · 数学 2016-08-05 Xiaoying Tian , Jonathan Taylor

We consider a novel paradigm for Bayesian testing of hypotheses and Bayesian model comparison. Our alternative to the traditional construction of posterior probabilities that a given hypothesis is true or that the data originates from a…

统计方法学 · 统计学 2019-01-01 Kaniav Kamary , Kerrie Mengersen , Christian P. Robert , Judith Rousseau

Bivariate count data arise in several different disciplines (epidemiology, marketing, sports statistics, etc., to name but a few) and the bivariate Poisson distribution which is a generalization of the Poisson distribution plays an…

统计方法学 · 统计学 2023-01-12 Barry C. Arnold , Indranil Ghosh

Statistical inference after model selection requires an inference framework that takes the selection into account in order to be valid. Following recent work on selective inference, we derive analytical expressions for inference after…

统计方法学 · 统计学 2017-09-26 David Rügamer , Sonja Greven

The robust Poisson method is becoming increasingly popular when estimating the association of exposures with a binary outcome. Unlike the logistic regression model, the robust Poisson method yields results that can be interpreted as risk or…

统计方法学 · 统计学 2022-09-14 Denis Talbot , Miceline Mésidor , Yohann Chiu , Marc Simard , Caroline Sirois

This paper discusses different needs and approaches to establishing ``causation'' that are relevant in legal cases involving statistical input based on epidemiological (or more generally observational or population-based) information. We…

统计方法学 · 统计学 2009-09-29 K. Mengersen , S. A. Moynihan , R. L. Tweedie

When constructing a model to estimate the causal effect of a treatment, it is necessary to control for other factors which may have confounding effects. Because the ignorability assumption is not testable, however, it is usually unclear…

统计方法学 · 统计学 2022-09-07 Spencer Woody , Carlos M. Carvalho , Jared S. Murray

Propensity score plays a central role in causal inference, but its use is not limited to causal comparisons. As a covariate balancing tool, propensity score can be used for controlled descriptive comparisons between groups whose memberships…

统计方法学 · 统计学 2022-09-09 Fan Li , Fan Li

When estimating causal effects using observational data, it is desirable to replicate a randomized experiment as closely as possible by obtaining treated and control groups with similar covariate distributions. This goal can often be…

统计方法学 · 统计学 2010-10-28 Elizabeth A. Stuart

Numerous variable selection methods rely on a two-stage procedure, where a sparsity-inducing penalty is used in the first stage to predict the support, which is then conveyed to the second stage for estimation or inference purposes. In this…

应用统计 · 统计学 2015-05-28 Jean-Michel Bécu , Yves Grandvalet , Christophe Ambroise , Cyril Dalmasso

A spectral approach to Bayesian inference is presented. It pursues the emulation of the posterior probability density. The starting point is a series expansion of the likelihood function in terms of orthogonal polynomials. From this…

统计计算 · 统计学 2016-04-27 Joseph B. Nagel , Bruno Sudret
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