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We consider a class of doubly weighted rank-based estimating methods for the transformation (or accelerated failure time) model with missing data as arise, for example, in case-cohort studies. The weights considered may not be predictable…

Statistics Theory · Mathematics 2009-08-24 Bin Nan , John D. Kalbfleisch , Menggang Yu

We develop a projected Wasserstein distance for the two-sample test, a fundamental problem in statistics and machine learning: given two sets of samples, to determine whether they are from the same distribution. In particular, we aim to…

Machine Learning · Statistics 2024-04-01 Jie Wang , Rui Gao , Yao Xie

Models for analyzing multivariate data sets with missing values require strong, often unassessable, assumptions. The most common of these is that the mechanism that created the missing data is ignorable - a twofold assumption dependent on…

Applications · Statistics 2020-02-17 Iavor Bojinov , Natesh Pillai , Donald Rubin

Missing covariates are not uncommon in capture-recapture studies. When covariate information is missing at random in capture-recapture data, an empirical full likelihood method has been demonstrated to outperform…

Methodology · Statistics 2025-07-15 Yang Liu , Yukun Liu , Pengfei Li , Riquan Zhang

Hypothesis testing in high dimensional data is a notoriously difficult problem without direct access to competing models' likelihood functions. This paper argues that statistical divergences can be used to quantify the difference between…

Data Analysis, Statistics and Probability · Physics 2024-08-02 Jeremy J. H. Wilkinson , Christopher G. Lester

This paper introduces a statistical test inferring whether a variable allows separating two classes by means of a single critical value. Its test statistic is the prediction error of a nonparametric threshold classifier. While this approach…

Methodology · Statistics 2017-07-17 Fabian Schroeder

The focus of this study is to evaluate the effectiveness of Machine Learning (ML) methods for two-sample testing with right-censored observations. To achieve this, we develop several ML-based methods with varying architectures and implement…

Machine Learning · Computer Science 2024-09-27 Petr Philonenko , Sergey Postovalov

The problem of testing for the parametric form of the conditional variance is considered in a fully nonparametric regression model. A test statistic based on a weighted $L_2$-distance between the empirical characteristic functions of…

Methodology · Statistics 2018-07-24 Juan Carlos Pardo-Fernandez , M. Dolores Jimenez-Gamero

Imputation of missing data is a common application in various classification problems where the feature training matrix has missingness. A widely used solution to this imputation problem is based on the lazy learning technique, $k$-nearest…

Machine Learning · Statistics 2020-02-26 Arkopal Choudhury , Michael R. Kosorok

In this paper, a novel test for testing whether data are Missing Completely at Random is proposed. Asymptotic properties of the test are derived utilizing the theory of non-degenerate U-statistics. It is shown that the novel test statistic…

Statistics Theory · Mathematics 2023-10-31 Danijel Aleksić

Methods to handle missing data have been extensively explored in the context of estimation and descriptive studies, with multiple imputation being the most widely used method in clinical research. However, in the context of clinical risk…

Methodology · Statistics 2024-11-25 Junhui Mi , Rahul D. Tendulkar , Sarah M. C. Sittenfeld , Sujata Patil , Emily C. Zabor

This article focuses on measurement error in covariates in regression analyses in which the aim is to estimate the association between one or more covariates and an outcome, adjusting for confounding. Error in covariate measurements, if…

Methodology · Statistics 2019-10-16 Ruth H. Keogh , Jonathan W. Bartlett

We consider tests of hypotheses when the parameters are not identifiable under the null in semiparametric models, where regularity conditions for profile likelihood theory fail. Exponential average tests based on integrated profile…

Statistics Theory · Mathematics 2009-08-25 Rui Song , Michael R. Kosorok , Jason P. Fine

Testing the equality of two conditional distributions is crucial in various modern applications, including transfer learning and causal inference. Despite its importance, this fundamental problem has received surprisingly little attention…

Methodology · Statistics 2025-09-04 Jian Yan , Zhuoxi Li , Xianyang Zhang

We present a framework for generating multiple imputations for continuous data when the missing data mechanism is unknown. Imputations are generated from more than one imputation model in order to incorporate uncertainty regarding the…

Applications · Statistics 2013-01-14 Juned Siddique , Ofer Harel , Catherine M. Crespi

The energy test method is a multi-dimensional test of whether two samples are consistent with arising from the same underlying population, through the calculation of a single test statistic (called the $T$-value). The method has recently…

Data Analysis, Statistics and Probability · Physics 2018-04-19 W. Barter , C. Burr , C. Parkes

The surge in digitized text data requires reliable inferential methods on observed textual patterns. This article proposes a novel two-sample text test for comparing similarity between two groups of documents. The hypothesis is whether the…

Machine Learning · Statistics 2025-05-09 Jingbin Xu , Chen Qian , Meimei Liu , Feng Guo

Non-parametric two-sample tests based on energy distance or maximum mean discrepancy are widely used statistical tests for comparing multivariate data from two populations. While these tests enjoy desirable statistical properties, their…

Computation · Statistics 2024-06-11 Elias Chaibub Neto

Urban Building Energy Models (UBEM) are vital for enhancing energy efficiency and sustainability in urban planning. However, data scarcity often challenges their validation, particularly the lack of hourly measured data and the variety of…

Applications · Statistics 2025-04-30 Chunxiao Wang , Bruno Duplessis , Eric Peirano , Pascal Schetelat , Peter Riederer

Distance-based tests, also called "energy statistics", are leading methods for two-sample and independence tests from the statistics community. Kernel-based tests, developed from "kernel mean embeddings", are leading methods for two-sample…

Machine Learning · Statistics 2024-06-27 Cencheng Shen , Joshua T. Vogelstein
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