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The paper considers a linear regression model in high-dimension for which the predictive variables can change the influence on the response variable at unknown times (called change-points). Moreover, the particular case of the heavy-tailed…

统计理论 · 数学 2013-07-03 Gabriela Ciuperca

This work introduces Bayesian quantile regression modeling framework for the analysis of longitudinal count data. In this model, the response variable is not continuous and hence an artificial smoothing of counts is incorporated. The…

统计方法学 · 统计学 2023-06-19 Sanket Jantre

Quantile regression relates the quantile of the response to a linear predictor. For a discrete response distributions, like the Poission, Binomial and the negative Binomial, this approach is not feasible as the quantile function is not…

统计方法学 · 统计学 2019-03-19 Tullia Padellini , Haavard Rue

Estimating the structures at high or low quantiles has become an important subject and attracted increasing attention across numerous fields. However, due to data sparsity at tails, it usually is a challenging task to obtain reliable…

统计方法学 · 统计学 2021-11-08 Yingying Zhang , Yuefeng Si , Guodong Li , Chil-Ling Tsai

Kink model is developed to analyze the data where the regression function is twostage linear but intersects at an unknown threshold. In quantile regression with longitudinal data, previous work assumed that the unknown threshold parameters…

统计方法学 · 统计学 2020-09-07 Chuang Wan

As a competitive alternative to least squares regression, quantile regression is popular in analyzing heterogenous data. For quantile regression model specified for one single quantile level $\tau$, major difficulties of semiparametric…

统计方法学 · 统计学 2017-05-29 Kani Chen , Yuanyuan Lin , Zhanfeng Wang , Zhiliang Ying

Quantile regression, a robust method for estimating conditional quantiles, has advanced significantly in fields such as econometrics, statistics, and machine learning. In high-dimensional settings, where the number of covariates exceeds…

机器学习 · 统计学 2024-09-04 The Tien Mai

We develop quantile regression models in order to derive risk margin and to evaluate capital in non-life insurance applications. By utilizing the entire range of conditional quantile functions, especially higher quantile levels, we detail…

风险管理 · 定量金融 2014-02-12 Alice X. D. Dong , Jennifer S. K. Chan , Gareth W. Peters

Quantile regression (QR) is becoming increasingly popular due to its relevance in many scientific investigations. There is a great amount of work about linear and nonlinear QR models. Specifically, nonparametric estimation of the…

统计方法学 · 统计学 2020-01-13 Eliana Christou

This note presents a simple way to add a count (or quantile) constraint to a regression neural net, such that given $n$ samples in the training set it guarantees that the prediction of $m<n$ samples will be larger than the actual value (the…

机器学习 · 计算机科学 2020-12-29 Dvir Ben Or , Michael Kolomenkin , Gil Shabat

Random forests are powerful non-parametric regression method but are severely limited in their usage in the presence of randomly censored observations, and naively applied can exhibit poor predictive performance due to the incurred biases.…

机器学习 · 统计学 2020-01-13 Alexander Hanbo Li , Jelena Bradic

Quantile regression is increasingly encountered in modern big data applications due to its robustness and flexibility. We consider the scenario of learning the conditional quantiles of a specific target population when the available data…

统计理论 · 数学 2024-02-27 Jun Jin , Jun Yan , Robert H. Aseltine , Kun Chen

In this article, we develop a semiparametric Bayesian estimation and model selection approach for partially linear additive models in conditional quantile regression. The asymmetric Laplace distribution provides a mechanism for Bayesian…

统计计算 · 统计学 2013-07-11 Yuao Hu , Kaifeng Zhao , Heng Lian

A collection of quantile curves provides a complete picture of conditional distributions. Properly centered and scaled versions of estimated curves at various quantile levels give rise to the so-called quantile regression process (QRP). In…

统计理论 · 数学 2017-07-25 Shih-Kang Chao , Stanislav Volgushev , Guang Cheng

Quantile Regression (QR) provides a way to approximate a single conditional quantile. To have a more informative description of the conditional distribution, QR can be merged with deep learning techniques to simultaneously estimate multiple…

机器学习 · 计算机科学 2022-02-01 Axel Brando , Joan Gimeno , Jose A. Rodríguez-Serrano , Jordi Vitrià

A quality-Bayesian approach, combining the direct sampling method and the Bayesian inversion, is proposed to reconstruct the locations and intensities of the unknown acoustic sources using partial data. First, we extend the direct sampling…

数值分析 · 数学 2020-04-10 Zhaoxing Li , Yanfang Liu , Jiguang Sun , Liwei Xu

A fundamental problem in citation analysis is the prediction of the long-term citation impact of recent publications. We propose a model to predict a probability distribution for the future number of citations of a publication. Two…

数字图书馆 · 计算机科学 2015-09-10 Clara Stegehuis , Nelly Litvak , Ludo Waltman

The studies of large-scale, high-dimensional data in fields such as genomics and neuroscience have injected new insights into science. Yet, despite advances, they are confronting several challenges, often simultaneously: lack of…

统计方法学 · 统计学 2024-01-01 Julien Bodelet , Guillaume Blanc , Jiajun Shan , Graciela Muniz Terrera , Oliver Y. Chen

A model is proposed for the statistical analysis of arbitrary-strength quantum measurements, based on a picture of "sampling weak values" from different configurations of the system. The model is comprised of two elements: a "local weak…

量子物理 · 物理学 2007-05-23 Alonso Botero

Quantile regression and quantile treatment effect methods are powerful econometric tools for considering economic impacts of events or variables of interest beyond the mean. The use of quantile methods allows for an examination of impacts…

综合经济学 · 经济学 2021-08-16 Damian Clarke , Manuel Llorca Jaña , Daniel Pailañir