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One challenge of large-scale data analysis is that the assumption of an identical distribution for all samples is often not realistic. An optimal linear regression might, for example, be markedly different for distinct groups of the data.…

Methodology · Statistics 2015-03-02 Dominik Rothenhäusler , Nicolai Meinshausen , Peter Bühlmann

This manuscript presents an innovative statistical model to quantify periodontal disease in the context of complex medical data. A mixed-effects model incorporating skewed random effects and heavy-tailed residuals is introduced, ensuring…

Methodology · Statistics 2025-09-26 Qingyang Liu , Debdeep Pati , Dipankar Bandyopadhyay

This paper considers the estimation of treatment effects in randomized experiments with complex experimental designs, including cases with interference between units. We develop a design-based estimation theory for arbitrary experimental…

Econometrics · Economics 2025-05-27 Haoge Chang

Percentage coefficient (bp) has emerged in recent publications as an additional and alternative estimator of effect size for regression analysis. This paper retraces the theory behind the estimator. It's posited that an estimator must first…

Applications · Statistics 2024-05-07 Xinshu Zhao , Dianshi Moses Li , Ze Zack Lai , Piper Liping Liu , Song Harris Ao , Fei You

Missing exposure information is a very common feature of many observational studies. Here we study identifiability and efficient estimation of causal effects on vector outcomes, in such cases where treatment is unconfounded but partially…

Methodology · Statistics 2020-02-04 Edward H. Kennedy

In this paper, we propose two new flexible Gini indices (extended lower and upper) defined via differences between the $i$-th observation, the smallest order statistic, and the largest order statistic, for any $1 \leqslant i \leqslant m$.…

Methodology · Statistics 2025-06-03 Roberto Vila , Helton Saulo

The large-scale multiple testing inherent to high throughput biological data necessitates very high statistical stringency and thus true effects in data are difficult to detect unless they have high effect sizes. One solution to this…

Methodology · Statistics 2017-12-21 Mohamad S. Hasan

M-estimators for Generalized Linear Models are considered under minimal assumptions. Under these preliminaries, strong convergence of the estimators are discussed and an expansion of the estimating operators are given in the non-i.i.d. case…

Statistics Theory · Mathematics 2021-10-26 K. P. Chowdhury

A new index for high-impact weather forecasting is introduced and assessed in comparison with the well-established extreme forecast index (EFI). Two other ensemble summary statistics are also included in this comparison study: the…

Applications · Statistics 2023-12-05 Zied Ben-Bouallegue

Quantifying the heterogeneity is an important issue in meta-analysis, and among the existing measures, the $I^2$ statistic is most commonly used. In this paper, we first illustrate with a simple example that the $I^2$ statistic is heavily…

Methodology · Statistics 2025-06-10 Ke Yang , Enxuan Lin , Wangli Xu , Liping Zhu , Tiejun Tong

We consider the analysis of continuous repeated measurement outcomes that are collected through time, also known as longitudinal data. A standard framework for analysing data of this kind is a linear Gaussian mixed-effects model within…

Methodology · Statistics 2018-04-10 Özgür Asar , David Bolin , Peter J. Diggle , Jonas Wallin

A new single-index model that reflects the time-dynamic effects of the single index is proposed for longitudinal and functional response data, possibly measured with errors, for both longitudinal and time-invariant covariates. With…

Statistics Theory · Mathematics 2011-03-10 Ci-Ren Jiang , Jane-Ling Wang

This PhD thesis contains several contributions to the field of statistical causal modeling. Statistical causal models are statistical models embedded with causal assumptions that allow for the inference and reasoning about the behavior of…

Machine Learning · Statistics 2021-10-05 Martin Emil Jakobsen

The functional linear model is an important extension of the classical regression model allowing for scalar responses to be modeled as functions of stochastic processes. Yet, despite the usefulness and popularity of the functional linear…

Methodology · Statistics 2025-11-27 Ioannis Kalogridis , Stanislav Nagy

In the era of "big data", it is becoming more of a challenge to not only build state-of-the-art predictive models, but also gain an understanding of what's really going on in the data. For example, it is often of interest to know which, if…

Machine Learning · Statistics 2018-05-15 Brandon M. Greenwell , Bradley C. Boehmke , Andrew J. McCarthy

This paper introduces a new method for testing the statistical significance of estimated parameters in predictive regressions. The approach features a new family of test statistics that are robust to the degree of persistence of the…

Econometrics · Economics 2025-02-04 Jean-Yves Pitarakis

Researchers commonly use difference-in-differences (DiD) designs to evaluate public policy interventions. While methods exist for estimating effects in the context of binary interventions, policies often result in varied exposures across…

Methodology · Statistics 2025-02-07 Gary Hettinger , Youjin Lee , Nandita Mitra

Linear mixed models are widely used to analyze non-independent data, but inference for fixed effects can be unreliable under misspecification of the random-effects distribution, inaccurate Fisher information estimation, or convergence…

Methodology · Statistics 2026-05-01 Angela Andreella , Livio Finos

Binned scatter plots are a powerful statistical tool for empirical work in the social, behavioral, and biomedical sciences. Available methods rely on a quantile-based partitioning estimator of the conditional mean regression function to…

Methodology · Statistics 2024-07-23 Matias D. Cattaneo , Richard K. Crump , Max H. Farrell , Yingjie Feng

The coefficient of determination is well defined for linear models and its extension is long wanted for mixed-effects models. We revisit its extension to define measures for proportions of variation explained by the whole model, fixed…

Methodology · Statistics 2022-05-04 Dabao Zhang
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