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This study introduces a debiasing method for regression estimators, including high-dimensional and nonparametric regression estimators. For example, nonparametric regression methods allow for the estimation of regression functions in a…

Machine Learning · Statistics 2024-11-27 Masahiro Kato

Density regression characterizes the conditional density of the response variable given the covariates, and provides much more information than the commonly used conditional mean or quantile regression. However, it is often computationally…

Methodology · Statistics 2022-06-15 Yunlu Chen , Nan Zhang

Regression analyses based on transformations of cumulative incidence functions are often adopted when modeling and testing for treatment effects in clinical trial settings involving competing and semi-competing risks. Common frameworks…

Methodology · Statistics 2024-01-11 Alexandra Bühler , Richard J Cook , Jerald F Lawless

The estimand framework provides guidance on handling intercurrent events, such as treatment discontinuation, in the analysis of clinical trial responses. Under ICH E9(R1), the treatment policy (TP) strategy incorporates post-discontinuation…

Methodology · Statistics 2026-04-07 Myeongjong Kang , Sangyoon Yi

We provide a simple distribution regression estimator for treatment effects in the difference-in-differences (DiD) design. Our procedure is particularly useful when the treatment effect differs across the distribution of the outcome…

Econometrics · Economics 2026-05-20 Iván Fernández-Val , Jonas Meier , Aico van Vuuren , Francis Vella

We present a new and general method of weighted least square univariate regression where the dependent variable is expanded as a series of suitably chosen functions of the independent variables. Each term of the series is obtained by an…

Numerical Analysis · Mathematics 2021-03-26 Nilotpal Kanti Sinha

Standard regression adjustment gives inconsistent estimates of causal effects when there are time-varying treatment effects and time-varying covariates. Loosely speaking, the issue is that some covariates are post-treatment variables…

Methodology · Statistics 2024-03-12 Stephen Bates , Edward Kennedy , Robert Tibshirani , Valerie Ventura , Larry Wasserman

A new probability distribution to study lifetime data in reliability is introduced in this paper. This one is a first approach to a non-homogeneous phase-type distribution. It is built by considering one cut-point in the non-negative…

Methodology · Statistics 2025-01-15 Christian Acal , Juan Eloy Ruiz-Castro , David Maldonado , Juan B. Roldán

We study the local persistence probability during non-stationary time evolutions in disordered contact processes with long-range interactions by a combination of the strong-disorder renormalization group (SDRG) method, a phenomenological…

Statistical Mechanics · Physics 2020-08-19 Róbert Juhász

In this work, we consider causal inference in various high-dimensional treatment settings, including for single multi-valued treatments and vector treatments with binary or continuous components, when the number of treatments can be…

Statistics Theory · Mathematics 2026-02-26 Patrick Kramer , Edward H. Kennedy , Isaac M. Opper

Concerning bivariate least squares linear regression, the classical approach pursued for functional models in earlier attempts is reviewed using a new formalism in terms of deviation (matrix) traces. Within the framework of classical error…

Instrumentation and Methods for Astrophysics · Physics 2011-03-08 R. Caimmi

This paper analyzes difference-in-differences designs with a continuous treatment. We show that treatment-on-the-treated-type parameters are identified under a parallel trends assumption analogous to the binary treatment case. However,…

Econometrics · Economics 2026-01-05 Brantly Callaway , Andrew Goodman-Bacon , Pedro H. C. Sant'Anna

It is well-known that trimmed sample means are robust against heavy tails and data contamination. This paper analyzes the performance of trimmed means and related methods in two novel contexts. The first one consists of estimating…

Statistics Theory · Mathematics 2025-12-03 Roberto I. Oliveira , Lucas Resende

This paper presents a computationally feasible method to compute rigorous bounds on the interval-generalisation of regression analysis to account for epistemic uncertainty in the output variables. The new iterative method uses machine…

Data Analysis, Statistics and Probability · Physics 2023-02-22 Krasymyr Tretiak , Georg Schollmeyer , Scott Ferson

The estimands framework outlined in ICH E9 (R1) describes the components needed to precisely define the effects to be estimated in clinical trials, which includes how post-baseline "intercurrent" events (IEs) are to be handled. In…

Methodology · Statistics 2023-08-28 Thomas Drury , Juan J Abellan , Nicky Best , Ian R. White

While shrinkage is essential in high-dimensional settings, its use for low-dimensional regression-based prediction has been debated. It reduces variance, often leading to improved prediction accuracy. However, it also inevitably introduces…

Estimation of a treatment effect by a regression discontinuity design faces a severe challenge when the running variable contains measurement errors since the errors smoothen the discontinuity on which the identification depends. The…

Methodology · Statistics 2019-09-24 Kota Mori

Imbalanced problems can arise in different real-world situations, and to address this, certain strategies in the form of resampling or balancing algorithms are proposed. This issue has largely been studied in the context of classification,…

Machine Learning · Computer Science 2025-07-17 Juscimara G. Avelino , George D. C. Cavalcanti , Rafael M. O. Cruz

Regression discontinuity designs have become one of the most popular research designs in empirical economics. We argue, however, that widely used approaches to building confidence intervals in regression discontinuity designs exhibit…

Econometrics · Economics 2025-12-01 Aditya Ghosh , Guido Imbens , Stefan Wager

We discuss a class of difference-based estimators for the autocovariance in nonparametric regression when the signal is discontinuous (change-point regression), possibly highly fluctuating, and the errors form a stationary $m$-dependent…

Methodology · Statistics 2016-08-09 Inder Tecuapetla-Gómez , Axel Munk