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Beta regression is commonly employed when the outcome variable is a proportion. Since its conception, the approach has been widely used in applications spanning various scientific fields. A series of extensions have been proposed over time,…

Methodology · Statistics 2025-07-29 Niloofar Ramezani , Martin Slawski

We consider the consistency properties of a regularised estimator for the simultaneous identification of both changepoints and graphical dependency structure in multivariate time-series. Traditionally, estimation of Gaussian Graphical…

Statistics Theory · Mathematics 2017-12-18 Alex J. Gibberd , Sandipan Roy

This paper studies inference for quadratic forms of linear regression coefficients with clustered data and many covariates. Our framework covers three important special cases: instrumental variables regression with many instruments and…

Econometrics · Economics 2026-02-18 Michal Kolesár , Pengjin Min , Wenjie Wang , Yichong Zhang

Causal models are important tools to understand complex phenomena and predict the outcome of controlled experiments, also known as interventions. In this work, we present statistical rates of estimation for linear cyclic causal models under…

Statistics Theory · Mathematics 2019-06-11 Jan-Christian Hütter , Philippe Rigollet

Recent approaches in causal inference have proposed estimating average causal effects that are local to some subpopulation, often for reasons of efficiency. These inferential targets are sometimes data-adaptive, in that they are dependent…

Statistics Theory · Mathematics 2016-02-08 Peter M. Aronow

We adopt the distribution and expectation of guessing times in game Wordle as metrics to predict the difficulty of words and explore their influence factors. In order to predictthe difficulty distribution, we use Monte Carlo to simulate the…

Computation and Language · Computer Science 2023-05-08 Beibei Liu , Yuanfang Zhang , Shiyu Zhang

Generalized Linear Mixed Models (GLMMs) are widely used for analysing clustered data. One well-established method of overcoming the integral in the marginal likelihood function for GLMMs is penalized quasi-likelihood (PQL) estimation,…

Statistics Theory · Mathematics 2024-05-03 Xu Ning , Francis Hui , Alan Welsh

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

We develop new econometric methods for estimation and inference in high-dimensional panel data models with interactive fixed effects. Our approach can be regarded as a non-trivial extension of the very popular common correlated effects…

Econometrics · Economics 2025-08-11 Maximilian Ruecker , Michael Vogt , Oliver Linton , Christopher Walsh

In this paper, we propose a robust method to estimate the average treatment effects in observational studies when the number of potential confounders is possibly much greater than the sample size. We first use a class of penalized…

Methodology · Statistics 2018-12-21 Yang Ning , Sida Peng , Kosuke Imai

New text as data techniques offer a great promise: the ability to inductively discover measures that are useful for testing social science theories of interest from large collections of text. We introduce a conceptual framework for making…

Machine Learning · Statistics 2018-02-08 Naoki Egami , Christian J. Fong , Justin Grimmer , Margaret E. Roberts , Brandon M. Stewart

In clustered data setting, informative cluster size has been a focus of recent research. In the nonparametric context, the problem has been considered mainly for testing equality of distribution functions. The aim in this paper is to…

Methodology · Statistics 2022-12-15 Changrui Liu , Solomon W. Harrar

We consider independent random variables (r.v.'s) with a common mean $\mu$ that either satisfy Lindeberg's condition, or are symmetric around $\mu$. Present forms of existing functional central limit theorems (FCLT's) for Studentized…

Statistics Theory · Mathematics 2009-01-30 Yuliya V. Martsynyuk

This paper introduces a new regularized version of the robust $\tau$-regression estimator for analyzing high-dimensional datasets subject to gross contamination in the response variables and covariates. The resulting estimator, termed…

Machine Learning · Statistics 2025-04-30 Emadaldin Mozafari-Majd , Visa Koivunen

We introduce a general semiparametric clusterwise elliptical distribution to assess how latent cluster structure shapes continuous outcomes. Using a subjectwise representation, we first estimate cluster-specific mean vectors and a…

Methodology · Statistics 2026-04-10 Jen-Chieh Teng , Sheng-Hsin Fan , Chin-Tsang Chiang , Ming-Yueh Huang , Alvin Lim

We consider parameter estimation, hypothesis testing and variable selection for partially time-varying coefficient models. Our asymptotic theory has the useful feature that it can allow dependent, nonstationary error and covariate…

Statistics Theory · Mathematics 2012-08-20 Ting Zhang , Wei Biao Wu

This paper studies estimation and inference of heterogeneous peer effects featuring group fixed effects and slope heterogeneity under latent structure. We adapt the Classifier-Lasso algorithm to consistently discover latent structures and…

Methodology · Statistics 2026-02-09 Zhongjian Lin , Zhentao Shi , Yapeng Zheng

We develop tools to do valid post-selective inference for a family of model selection procedures, including choosing a model via cross-validated Lasso. The tools apply universally when the following random vectors are jointly asymptotically…

Methodology · Statistics 2018-02-13 Jelena Markovic , Lucy Xia , Jonathan Taylor

We present a general framework for using existing data to estimate the efficiency gain from using a covariate-adjusted estimator of a marginal treatment effect in a future randomized trial. We describe conditions under which it is possible…

Methodology · Statistics 2021-05-03 Xiudi Li , Sijia Li , Alex Luedtke

Thomas' partial likelihood estimator of regression parameters is widely used in the analysis of nested case-control data with Cox's model. This paper proposes a new estimator of the regression parameters, which is consistent and…

Statistics Theory · Mathematics 2007-06-13 Kani Chen
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