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We suggest double/debiased machine learning estimators of direct and indirect quantile treatment effects under a selection-on-observables assumption. This permits disentangling the causal effect of a binary treatment at a specific outcome…

Econometrics · Economics 2023-07-04 Yu-Chin Hsu , Martin Huber , Yu-Min Yen

We provide a new estimation method for conditional moment models via the martingale difference divergence (MDD).Our MDD-based estimation method is formed in the framework of a continuum of unconditional moment restrictions. Unlike the…

Econometrics · Economics 2024-04-18 Kunyang Song , Feiyu Jiang , Ke Zhu

Direct quantile regression involves estimating a given quantile of a response variable as a function of input variables. We present a new framework for direct quantile regression where a Gaussian process model is learned, minimising the…

Methodology · Statistics 2012-07-03 Alexis Boukouvalas , Remi Barillec , Dan Cornford

Progression of chronic disease is often manifested by repeated occurrences of disease-related events over time. Delineating the heterogeneity in the risk of such recurrent events can provide valuable scientific insight for guiding…

Methodology · Statistics 2018-11-16 Huijuan Ma , Limin Peng , Chiung-Yu Huang , Haoda Fu

This paper introduces a quasi-Bayesian method that integrates frequentist nonparametric estimation with Bayesian inference in a two-stage process. Applied to an endogenous discrete choice model, the approach first uses kernel or sieve…

Econometrics · Economics 2025-05-20 Ruixuan Liu , Zhengfei Yu

We introduce a new methodology for analyzing serial data by quantile regression assuming that the underlying quantile function consists of constant segments. The procedure does not rely on any distributional assumption besides serial…

Methodology · Statistics 2020-09-09 Laura Jula Vanegas , Merle Behr , Axel Munk

Applied Difference-in-Differences studies often involve outcomes that are discrete, mixed, censored, or otherwise non-continuously distributed, while policy questions frequently concern distributional effects rather than mean effects alone.…

Econometrics · Economics 2026-05-22 Nelly K. Djuazon , Emmanuel Selorm Tsyawo

Discrete data are collected in many application areas and are often characterised by highly skewed and power-lawlike distributions. An example of this, which is considered in this paper, is the number of visits to a specialist, often taken…

Methodology · Statistics 2021-02-15 Hamed Haselimashhadi , Veronica Vinciotti , Keming Yu

Modal regression has emerged as a flexible alternative to classical regression models when the conditional mean or median are unable to adequately capture the underlying relation between a response and a predictor variable. This approach is…

Methodology · Statistics 2025-04-08 Ana Pérez-González , Tomás R. Cotos-Yáñez , Rosa M. Crujeiras

Deep learning has enjoyed tremendous success in a variety of applications but its application to quantile regressions remains scarce. A major advantage of the deep learning approach is its flexibility to model complex data in a more…

Statistics Theory · Mathematics 2021-06-14 Qixian Zhong , Jane-Ling Wang

Motivated by investigating the relationship between progesterone and the days in a menstrual cycle in a longitudinal study, we propose a multi-kink quantile regression model for longitudinal data analysis. It relaxes the linearity condition…

Methodology · Statistics 2021-12-10 Chuang Wan , Wei Zhong , Wenyang Zhang , Changliang Zou

This paper addresses computational challenges in estimating Quantile Regression with Selection (QRS). The estimation of the parameters that model self-selection requires the estimation of the entire quantile process several times. Moreover,…

Econometrics · Economics 2024-02-27 Santiago Pereda-Fernández

We propose a generalization of the linear panel quantile regression model to accommodate both \textit{sparse} and \textit{dense} parts: sparse means while the number of covariates available is large, potentially only a much smaller number…

Econometrics · Economics 2022-08-24 Alexandre Belloni , Mingli Chen , Oscar Hernan Madrid Padilla , Zixuan , Wang

Linear regression is a fundamental and popular statistical method. There are various kinds of linear regression, such as mean regression and quantile regression. In this paper, we propose a new one called distribution regression, which…

Methodology · Statistics 2017-12-27 Xin Chen , Xuejun Ma , Wang Zhou

When we interpret linear regression as estimating causal effects justified by quasi-experimental treatment variation, what do we mean? This paper formalizes a minimal criterion for quasi-experimental interpretation and characterizes its…

Econometrics · Economics 2026-01-21 Jiafeng Chen

We endeavour to estimate numerous multi-dimensional means of various probability distributions on a common space based on independent samples. Our approach involves forming estimators through convex combinations of empirical means derived…

Machine Learning · Statistics 2025-03-11 Gilles Blanchard , Jean-Baptiste Fermanian , Hannah Marienwald

Conditional quantiles provide a natural tool for reporting results from regression analyses based on semiparametric transformation models. We consider their estimation and construction of confidence sets in the presence of censoring.

Statistics Theory · Mathematics 2007-06-13 Dorota M. Dabrowska

Functional data such as curves and surfaces have become more and more common with modern technological advancements. The use of functional predictors remains challenging due to its inherent infinite-dimensionality. The common practice is to…

Statistics Theory · Mathematics 2023-01-31 Dengdeng Yu , Matthew Pietrosanu , Ivan Mizera , Bei Jiang , Linglong Kong , Wei Tu

In this article, we consider a non-parametric Bayesian approach to multivariate quantile regression. The collection of related conditional distributions of a response vector Y given a univariate covariate X is modeled using a Dependent…

Methodology · Statistics 2020-07-03 Indrabati Bhattacharya , Subhashis Ghosal

Quantile regression, that is the prediction of conditional quantiles, has steadily gained importance in statistical modeling and financial applications. The authors introduce a new semiparametric quantile regression method based on…

Methodology · Statistics 2016-11-17 Daniel Kraus , Claudia Czado