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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…

统计方法学 · 统计学 2020-09-09 Laura Jula Vanegas , Merle Behr , Axel Munk

In practical applications, one often does not know the "true" structure of the underlying conditional quantile function, especially in the ultra-high dimensional setting. To deal with ultra-high dimensionality, quantile-adaptive marginal…

统计方法学 · 统计学 2024-04-26 Daoji Li , Yinfei Kong , Dawit Zerom

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…

统计方法学 · 统计学 2022-06-15 Yunlu Chen , Nan Zhang

This paper investigates the identification of quantiles and quantile regression parameters when observations are set valued. We define the identification set of quantiles of random sets in a way that extends the definition of quantiles for…

统计方法学 · 统计学 2020-04-10 Arie Beresteanu , Yuya Sasaki

This paper proposes a new method to address the long-standing problem of lack of monotonicity in estimation of the conditional and structural quantile function, also known as quantile crossing problem. Quantile regression is a very powerful…

机器学习 · 统计学 2021-11-25 Resve A. Saleh , A. K. Md. Ehsanes Saleh

A semiparametric copula-based two-part quantile regression framework is developed for the analysis of semicontinuous outcomes characterized by a point mass at zero and a continuous positive component. The proposed approach models the…

统计方法学 · 统计学 2026-03-17 Guanjie Lyu , Mohamed Belalia , Abdulkadir Hussein

We develop a collection of methods for adjusting the predictions of quantile regression to ensure coverage. Our methods are model agnostic and can be used to correct for high-dimensional overfitting bias with only minimal assumptions.…

统计方法学 · 统计学 2025-11-10 Isaac Gibbs , John J. Cherian , Emmanuel J. Candès

This article focuses on the study of lactating sows, where the main interest is the influence of temperature, measured throughout the day, on the lower quantiles of the daily feed intake. We outline a model framework and estimation…

应用统计 · 统计学 2024-06-03 Maria Laura Battagliola , Helle Sørensen , Anders Tolver , Ana-Maria Staicu

Quantile regression (QR) is a powerful tool for estimating one or more conditional quantiles of a target variable $\mathrm{Y}$ given explanatory features $\boldsymbol{\mathrm{X}}$. A limitation of QR is that it is only defined for scalar…

统计计算 · 统计学 2023-06-05 Aviv A. Rosenberg , Sanketh Vedula , Yaniv Romano , Alex M. Bronstein

A nonparametric procedure for robust regression estimation and for quantile regression is proposed which is completely data-driven and adapts locally to the regularity of the regression function. This is achieved by considering in each…

统计理论 · 数学 2009-04-06 Markus Reiss , Yves Rozenholc , Charles-Andre Cuenod

Big Data often presents as massive non-probability samples. Not only is the selection mechanism often unknown, but larger data volume amplifies the relative contribution of selection bias to total error. Existing bias adjustment approaches…

统计方法学 · 统计学 2022-03-29 Ali Rafei , Carol A. C. Flannagan , Brady T. West , Michael R. Elliott

We consider a heteroscedastic regression model in which some of the regression coefficients are zero but it is not known which ones. Penalized quantile regression is a useful approach for analyzing such data. By allowing different…

统计方法学 · 统计学 2018-07-23 Lan Wang , Ingrid Van Keilegrom , Adam Maidman

This paper studies inference in predictive quantile regressions when the predictive regressor has a near-unit root. We derive asymptotic distributions for the quantile regression estimator and its heteroskedasticity and autocorrelation…

计量经济学 · 经济学 2024-05-07 Alex Maynard , Katsumi Shimotsu , Nina Kuriyama

Quantile regression has been advocated in survival analysis to assess evolving covariate effects. However, challenges arise when the censoring time is not always observed and may be covariate-dependent, particularly in the presence of…

统计理论 · 数学 2010-10-05 Yijian Huang

This paper develops bootstrap methods for practical statistical inference in panel data quantile regression models with fixed effects. We consider random-weighted bootstrap resampling and formally establish its validity for asymptotic…

计量经济学 · 经济学 2021-11-08 Antonio F. Galvao , Thomas Parker , Zhijie Xiao

Using an asymmetric Laplace distribution, which provides a mechanism for Bayesian inference of quantile regression models, we develop a fully Bayesian approach to fitting single-index models in conditional quantile regression. In this work,…

统计计算 · 统计学 2015-03-19 Yuao Hua , Robert B. Gramacy , Heng Lian

This paper proposes a computationally efficient Bayesian factor model for multiple grouped count data. Adopting the link function approach, the proposed model can capture the association within and between the at-risk probabilities and…

统计方法学 · 统计学 2024-05-13 Genya Kobayashi , Yuta Yamauchi

A new class of general exponential ranking models is introduced which we label angle-based models for ranking data. A consensus score vector is assumed, which assigns scores to a set of items, where the scores reflect a consensus view of…

统计方法学 · 统计学 2017-12-27 Hang Xu , Mayer Alvo , Philip L. H. Yu

This paper studies quantile regression with an endogenous regressor and measurement error in the dependent variable. Standard quantile regression estimators ignoring these two elements can induce substantial bias. We adopt a…

计量经济学 · 经济学 2026-05-21 Xuanjing Su

This work proposes new inference methods for a regression coefficient of interest in a (heterogeneous) quantile regression model. We consider a high-dimensional model where the number of regressors potentially exceeds the sample size but a…

统计理论 · 数学 2017-10-05 Alexandre Belloni , Victor Chernozhukov , Kengo Kato