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Mixture models are often used to identify meaningful subpopulations (i.e., clusters) in observed data such that the subpopulations have a real-world interpretation (e.g., as cell types). However, when used for subpopulation discovery,…

统计方法学 · 统计学 2024-03-04 Jiawei Li , Jonathan H. Huggins

There have been controversies among statisticians on (i) what to model and (ii) how to make inferences from models with unobservables. One such controversy concerns the difference between estimation methods for the marginal means not…

统计方法学 · 统计学 2010-10-07 Youngjo Lee , John A. Nelder

Despite the long history of modelling human mobility, we continue to lack a highly accurate approach with low data requirements for predicting mobility patterns in cities. Here, we present a population-weighted opportunities model without…

物理与社会 · 物理学 2017-10-03 Xiao-Yong Yan , Chen Zhao , Ying Fan , Zengru Di , Wen-Xu Wang

The problem of estimating the size of a population based on a subset of individuals observed across multiple data sources is often referred to as capture-recapture or multiple-systems estimation. This is fundamentally a missing data…

统计方法学 · 统计学 2022-06-22 Serge Aleshin-Guendel , Mauricio Sadinle , Jon Wakefield

We investigate how individuals form expectations about population behavior using statistical inference based on observations of their social relations. Misperceptions about others' connectedness and behavior arise from sampling bias…

理论经济学 · 经济学 2022-05-27 Andreas Bjerre-Nielsen , Martin Benedikt Busch

Predictive inference is a fundamental task in statistics, traditionally addressed using parametric assumptions about the data distribution and detailed analyses of how models learn from data. In recent years, conformal prediction has…

统计方法学 · 统计学 2026-03-26 Matteo Sesia , Stefano Favaro

The most fundamental problem in statistics is the inference of an unknown probability distribution from a finite number of samples. For a specific observed data set, answers to the following questions would be desirable: (1) Estimation:…

统计理论 · 数学 2013-01-23 Ali Kinkhabwala

A popular method for variance reduction in observational causal inference is propensity-based trimming, the practice of removing units with extreme propensities from the sample. This practice has theoretical grounding when the data are…

统计方法学 · 统计学 2024-01-30 Samir Khan , Johan Ugander

Selective inference is a subfield of statistics that enables valid inference after selection of a data-dependent question. In this paper, we introduce selectively dominant p-values, a class of p-values that allow practitioners to easily…

统计方法学 · 统计学 2024-11-22 Anav Sood

Subsampling is a general statistical method developed in the 1990s aimed at estimating the sampling distribution of a statistic $\hat \theta _n$ in order to conduct nonparametric inference such as the construction of confidence intervals…

统计理论 · 数学 2021-12-14 Dimitris N. Politis

This paper clarifies a fundamental difference between causal inference and traditional statistical inference by formalizing a mathematical distinction between their respective parameters. We connect two major approaches to causal inference,…

统计方法学 · 统计学 2025-08-29 Muye Liu , Jun Xie

In the analysis of count data often the equidispersion assumption is not suitable, hence the Poisson regression model is inappropriate. As a generalization of the Poisson distribution, the COM-Poisson distribution can deal with under-,…

Several new methods have been proposed for performing valid inference after model selection. An older method is sampling splitting: use part of the data for model selection and part for inference. In this paper we revisit sample splitting…

统计理论 · 数学 2018-04-04 Alessandro Rinaldo , Larry Wasserman , Max G'Sell , Jing Lei

Statistical evaluation aims to estimate the generalization performance of a model using held-out i.i.d.\ test data sampled from the ground-truth distribution. In supervised learning settings such as classification, performance metrics such…

机器学习 · 计算机科学 2026-04-08 Shashaank Aiyer , Yishay Mansour , Shay Moran , Han Shao

For measuring the strength of visually-observed subpopulation differences, the Population Difference Criterion is proposed to assess the statistical significance of visually observed subpopulation differences. It addresses the following…

统计方法学 · 统计学 2023-09-21 Xi Yang , Jan Hannig , Katherine A. Hoadley , Iain Carmichael , J. S. Marron

Quantifying the uncertainty of predictions is a core problem in modern statistics. Methods for predictive inference have been developed under a variety of assumptions, often -- for instance, in standard conformal prediction -- relying on…

统计方法学 · 统计学 2024-09-13 Edgar Dobriban , Mengxin Yu

While the traditional viewpoint in machine learning and statistics assumes training and testing samples come from the same population, practice belies this fiction. One strategy -- coming from robust statistics and optimization -- is thus…

机器学习 · 统计学 2024-07-08 Maxime Cauchois , Suyash Gupta , Alnur Ali , John C. Duchi

In statistics education, the concept of population is widely felt hard to grasp, as a result of vague explanations in textbooks. Some textbook authors therefore chose not to mention it. This paper offers a new explanation by proposing a new…

其他统计学 · 统计学 2017-04-07 Yiping Cheng

Statisticians have recently developed propensity score methods to improve generalizations from randomized experiments that do not employ random sampling. However, these methods typically rely on assumptions whose plausibility may be…

统计方法学 · 统计学 2019-11-14 Wendy Chan

We consider basic conceptual questions concerning the relationship between statistical estimation and causal inference. Firstly, we show how to translate causal inference problems into an abstract statistical formalism without requiring any…

统计理论 · 数学 2020-07-22 Oliver J. Maclaren , Ruanui Nicholson