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In this paper, we propose a Spatial Robust Mixture Regression model to investigate the relationship between a response variable and a set of explanatory variables over the spatial domain, assuming that the relationships may exhibit complex…

Methodology · Statistics 2021-09-30 Wennan Chang , Pengtao Dang , Changlin Wan , Xiaoyu Lu , Yue Fang , Tong Zhao , Yong Zang , Bo Li , Chi Zhang , Sha Cao

A common method for deriving non-parametric tests is to reformulate a parametric test in terms of sample ranks. Despite being distribution free (even in finite samples), the resulting tests often display remarkable asymptotic power…

Statistics Theory · Mathematics 2022-08-10 Dan D. Erdmann-Pham , Jonathan Terhorst , Yun S. Song

Causal discovery, the problem of inferring the direction of causality, is generally ill-posed. We use the language of structural causal models (SCM) to show that assuming that the causal relations are acyclic and invariant across multiple…

Machine Learning · Statistics 2026-05-14 Francesco Montagna , Francesco Locatello

Quantile regression is a powerful tool for detecting exposure-outcome associations given covariates across different parts of the outcome's distribution, but has two major limitations when the aim is to infer the effect of an exposure.…

Ordinal regression and ranking are challenging due to inherent ordinal dependencies that conventional methods struggle to model. We propose Ranking-Aware Reinforcement Learning (RARL), a novel RL framework that explicitly learns these…

Machine Learning · Computer Science 2026-01-29 Aiming Hao , Chen Zhu , Jiashu Zhu , Jiahong Wu , Xiangxiang Chu

In structured additive distributional regression, the conditional distribution of the response variables given the covariate information and the vector of model parameters is modelled using a P-parametric probability density function where…

Computation · Statistics 2025-02-06 Gianmarco Callegher , Thomas Kneib , Johannes Söding , Paul Wiemann

Regression with compositional response or covariates, or even regression between parts of a composition, is frequently employed in social sciences. Among other possible applications, it may help to reveal interesting features in time…

Statistics Theory · Mathematics 2016-09-27 Ivo Muller , Karel Hron , Eva Fiserova , Jan Smahaj , Panajotis Cakirpaloglu , Jana Vancakova

Mean-based estimators of causal effects in randomized experiments may behave poorly if the potential outcomes have a heavy tail or contain outliers. An alternative estimator proposed by Rosenbaum (1993) estimates a constant additive…

Methodology · Statistics 2026-02-09 Aditya Ghosh , Nabarun Deb , Bikram Karmakar , Bodhisattva Sen

The cause of failure in cohort studies that involve competing risks is frequently incompletely observed. To address this, several methods have been proposed for the semiparametric proportional cause-specific hazards model under a missing at…

Methodology · Statistics 2020-02-24 Giorgos Bakoyannis , Ying Zhang , Constantin T. Yiannoutsos

Scatter plots are widely recognized as fundamental tools for illustrating the relationship between two numerical variables. Despite this, based on solid theoretical foundations, scatter plots generated from pairs of continuous random…

Methodology · Statistics 2025-02-05 Arturo Erdely , Manuel Rubio-Sanchez

Reduced-rank regressions are powerful tools used to identify co-movements within economic time series. However, this task becomes challenging when we observe matrix-valued time series, where each dimension may have a different co-movement…

Econometrics · Economics 2024-07-12 Alain Hecq , Ivan Ricardo , Ines Wilms

We study the effects of academic rank using data on the entire population of children enrolled in primary schools in Aberdeen, Scotland, in 1962. Exploiting quasi-random variation in peer group composition, we estimate the causal impact of…

General Economics · Economics 2025-10-15 Emilia Del Bono , Angus Holford , Tommaso Sartori

Stemming from information-theoretic learning, the correntropy criterion and its applications to machine learning tasks have been extensively explored and studied. Its application to regression problems leads to the robustness enhanced…

Machine Learning · Computer Science 2020-07-23 Yunlong Feng

This paper is motivated by the analysis of a survey study of college student wellbeing before and after the outbreak of the COVID-19 pandemic. A statistical challenge in well-being survey studies lies in that outcome variables are often…

Methodology · Statistics 2023-06-09 Shaobo Li , Zhaohu Fan , Ivy Liu , Philip S. Morrison , Dungang Liu

Conformal prediction has been a very popular method of distribution-free predictive inference in recent years in machine learning and statistics. Its popularity stems from the fact that it works as a wrapper around any prediction algorithm…

Methodology · Statistics 2021-06-07 Arun Kumar Kuchibhotla

A case-control family study is a study where individuals with a disease of interest (case probands) and individuals without the disease (control probands) are randomly sampled from a well-defined population. Possibly right-censored age at…

Methodology · Statistics 2018-12-04 David M. Zucker , Malka Gorfine

This paper tackles the problem of robust covariance matrix estimation when the data is incomplete. Classical statistical estimation methodologies are usually built upon the Gaussian assumption, whereas existing robust estimation ones assume…

PageRank (PR) is an algorithm originally developed by Google to evaluate the importance of web pages. Considering how deeply rooted Google's PR algorithm is to gathering relevant information or to the success of modern businesses, the…

Physics and Society · Physics 2012-12-10 Seung-Woo Son , Claire Christensen , Peter Grassberger , Maya Paczuski

In what ways might statistical signals in linguistic input assist with the acquisition of syntax? Here we hypothesize a mechanism called collocational bootstrapping, in which regularities in word co-occurrence patterns can provide cues to…

Computation and Language · Computer Science 2026-05-21 Claire Hobbs , R. Thomas McCoy

Difference-in-differences (diff-in-diff) is a study design that compares outcomes of two groups (treated and comparison) at two time points (pre- and post-treatment) and is widely used in evaluating new policy implementations. For instance,…

Applications · Statistics 2019-11-28 Bret Zeldow , Laura A. Hatfield