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Valid statistical inference is challenging when the sample is subject to unknown selection bias. Data integration can be used to correct for selection bias when we have a parallel probability sample from the same population with some common…

Methodology · Statistics 2023-07-24 Zhonglei Wang , Shu Yang , Jae Kwang Kim

Robust classification algorithms have been developed in recent years with great success. We take advantage of this development and recast the classical two-sample test problem in the framework of classification. Based on the estimates of…

Statistics Theory · Mathematics 2019-09-18 Haiyan Cai , Bryan Goggin , Qingtang Jiang

In today's modern era of Big data, computationally efficient and scalable methods are needed to support timely insights and informed decision making. One such method is sub-sampling, where a subset of the Big data is analysed and used as…

Methodology · Statistics 2022-09-07 Amalan Mahendran , Helen Thompson , James M. McGree

The ideas of aleatoric and epistemic uncertainty are widely used to reason about the probabilistic predictions of machine-learning models. We identify incoherence in existing discussions of these ideas and suggest this stems from the…

Machine Learning · Computer Science 2025-08-19 Freddie Bickford Smith , Jannik Kossen , Eleanor Trollope , Mark van der Wilk , Adam Foster , Tom Rainforth

Sequential sampling occurs when the entire population is not known in advance and data are obtained one at a time or in groups of units. This manuscript proposes a new algorithm to sequentially select a balanced sample. The algorithm…

Methodology · Statistics 2023-01-04 Raphaël Jauslin , Bardia Panahbehagh , Yves Tillé

When epidemiologic studies are conducted in a subset of the population, selection bias can threaten the validity of causal inference. This bias can occur whether or not that selected population is the target population, and can occur even…

Methodology · Statistics 2019-06-07 Louisa H. Smith , Tyler J. VanderWeele

This paper is an attempt to set a justification for making use of some dicrepancy indexes, starting from the classical Maximum Likelihood definition, and adapting the corresponding basic principle of inference to situations where…

Statistics Theory · Mathematics 2021-02-24 Michel Broniatowski

Traditional wisdom in generative modeling literature is that spurious samples that a model can generate are errors and they should be avoided. Recent research, however, has shown interest in studying or even exploiting such samples instead…

Machine Learning · Computer Science 2018-10-05 Balázs Kégl , Mehdi Cherti , Akın Kazakçı

Large-scale empirical data, the sample size and the dimension are high, often exhibit various characteristics. For example, the noise term follows unknown distributions or the model is very sparse that the number of critical variables is…

Statistics Theory · Mathematics 2018-06-18 Yuehan Yang , Hu Yang

Public-use survey data are an important source of information for researchers in social science and health studies to build statistical models and make inferences on the target finite population. This paper presents two general inferential…

Methodology · Statistics 2020-05-26 Puying Zhao , J. N. K. Rao , Changbao Wu

Current pooling rules for multiply imputed data assume infinite populations. In some situations this assumption is not feasible as every unit in the population has been observed, potentially leading to over-covered population estimates. We…

Statistics Theory · Mathematics 2014-10-01 Gerko Vink , Stef van Buuren

Ranking populations such as institutions based on certain characteristics is often of interest, and these ranks are typically estimated using samples drawn from the populations. Due to sample randomness, it is important to quantify the…

Methodology · Statistics 2025-12-08 Onrina Chandra , Min-ge Xie

When sample data are governed by an unknown sequence of independent but possibly non-identical distributions, the data-generating process (DGP) in general cannot be perfectly identified from the data. For making decisions facing such…

Theoretical Economics · Economics 2022-05-11 Xiaoyu Cheng

In learning with noisy labels, the sample selection approach is very popular, which regards small-loss data as correctly labeled during training. However, losses are generated on-the-fly based on the model being trained with noisy labels,…

Machine Learning · Computer Science 2021-06-02 Xiaobo Xia , Tongliang Liu , Bo Han , Mingming Gong , Jun Yu , Gang Niu , Masashi Sugiyama

In many applications, different populations are compared using data that are sampled in a biased manner. Under sampling biases, standard methods that estimate the difference between the population means yield unreliable inferences. Here we…

Statistics Theory · Mathematics 2019-11-12 Dave Zachariah , Petre Stoica

Several systematic studies have suggested that a large fraction of published research is not reproducible. One probable reason for low reproducibility is insufficient sample size, resulting in low power and low positive predictive value. It…

General Economics · Economics 2020-07-01 Oliver Braganza

Surveys are commonly used to facilitate research in epidemiology, health, and the social and behavioral sciences. Often, these surveys are not simple random samples, and respondents are given weights reflecting their probability of…

Methodology · Statistics 2024-08-20 Adway S. Wadekar , Jerome P. Reiter

Subsampling is a computationally efficient and scalable method to draw inference in large data settings based on a subset of the data rather than needing to consider the whole dataset. When employing subsampling techniques, a crucial…

Methodology · Statistics 2025-10-08 Amalan Mahendran , Helen Thompson , James M. McGree

Due to lack of scientific understanding, some mechanisms may be missing in mathematical modeling of complex phenomena in science and engineering. These mathematical models thus contain some uncertainties such as uncertain parameters. One…

Probability · Mathematics 2012-04-05 Jinqiao Duan , Ting Gao , Guowei He

Clinical prediction models are estimated using a sample of limited size from the target population, leading to uncertainty in predictions, even when the model is correctly specified. Generally, not all patient profiles are observed…

Methodology · Statistics 2024-02-09 Doranne Thomassen , Saskia le Cessie , Hans van Houwelingen , Ewout Steyerberg
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