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An effective two-stage method for an estimation of parameters of the linear regression is considered. For this purpose we introduce a certain quasi-estimator that, in contrast to usual estimator, produces two alternative estimates. It is…

Statistics Theory · Mathematics 2010-10-06 Anatoly Gordinsky

Partial least squares (PLS) is a dimensionality reduction technique used as an alternative to ordinary least squares (OLS) in situations where the data is colinear or high dimensional. Both PLS and OLS provide mean based estimates, which…

Methodology · Statistics 2021-10-18 Alvaro Mendez Civieta , M. Carmen Aguilera-Morillo , Rosa E. Lillo

Prediction is a key issue in time series analysis. Just as classical mean regression models, classical autoregressive methods, yielding L$^2$ point-predictions, provide rather poor predictive summaries; a much more informative approach is…

Statistics Theory · Mathematics 2025-10-06 Alberto González-Sanz , Marc Hallin , Yisha Yao

In this paper, a new estimation method is introduced for the quantile spectrum, which uses a parametric form of the autoregressive (AR) spectrum coupled with nonparametric smoothing. The method begins with quantile periodograms which are…

Methodology · Statistics 2019-10-17 Tianbo Chen , Ying Sun , Ta-Hsin Li

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…

Methodology · Statistics 2020-01-13 Eliana Christou

We extend the analysis of investment strategies derived from penalized quantile regression models, introducing alternative approaches to improve state\textendash of\textendash art asset allocation rules. First, we use a post\textendash…

Portfolio Management · Quantitative Finance 2019-08-14 Giovanni Bonaccolto

The standard quantile regression model assumes a linear relationship at the quantile of interest and that all variables are observed. We relax these assumptions by considering a partial linear model while allowing for missing linear…

Methodology · Statistics 2016-06-07 Ben Sherwood

We consider parameter inference for linear quantile regression with non-stationary predictors and errors, where the regression parameters are subject to inequality constraints. We show that the constrained quantile coefficient estimators…

Methodology · Statistics 2024-04-08 Yuan Sun , Zhou Zhou

We propose new estimates for the frontier of a set of points. They are defined as kernel estimates covering all the points and whose associated support is of smallest surface. The estimates are written as linear combinatio- ns of kernel…

Methodology · Statistics 2011-03-31 Guillaume Bouchard , Stéphane Girard , Anatoli Iouditski , Alexander Nazin

This paper presents a new perspective on the identification at infinity for the intercept of the sample selection model as identification at the boundary via a transformation of the selection index. This perspective suggests generalizations…

Econometrics · Economics 2023-02-13 Zhewen Pan

In several different fields, there is interest in analyzing the upper or lower tail quantile of the underlying distribution rather than mean or center quantile. However, the investigation of the tail quantile is difficult because of data…

Statistics Theory · Mathematics 2019-03-21 Takuma Yoshida

We propose a notion of conditional vector quantile function and a vector quantile regression. A \emph{conditional vector quantile function} (CVQF) of a random vector $Y$, taking values in $\mathbb{R}^d$ given covariates $Z=z$, taking values…

Methodology · Statistics 2015-09-29 Guillaume Carlier , Victor Chernozhukov , Alfred Galichon

Quantile regression is a powerful tool for inferring how covariates affect specific percentiles of the response distribution. Existing methods either estimate conditional quantiles separately for each quantile of interest or estimate the…

Methodology · Statistics 2024-11-19 Joseph Feldman , Daniel Kowal

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.…

Machine Learning · Statistics 2019-02-12 Alexander Hanbo Li , Jelena Bradic

When facing multivariate covariates, general semiparametric regression techniques come at hand to propose flexible models that are unexposed to the curse of dimensionality. In this work a semiparametric copula-based estimator for…

Methodology · Statistics 2016-03-25 Mickael De Backer , Anouar El Ghouch , Ingrid Van Keilegom

Random Fourier Features (RFF) demonstrate wellappreciated performance in kernel approximation for largescale situations but restrict kernels to be stationary and positive definite. And for non-stationary kernels, the corresponding RFF could…

Machine Learning · Statistics 2021-04-15 Qin Luo , Kun Fang , Jie Yang , Xiaolin Huang

Censored quantile regression has emerged as a prominent alternative to classical Cox's proportional hazards model or accelerated failure time model in both theoretical and applied statistics. While quantile regression has been extensively…

Methodology · Statistics 2024-08-27 Taehwa Choi , Seohyeon Park , Hunyong Cho , Sangbum Choi

In a recent paper Birke and Bissantz (2008) considered the problem of nonparametric estimation in inverse regression models with convolution-type operators. For multivariate predictors nonparametric methods suffer from the curse of…

Statistics Theory · Mathematics 2013-03-19 T. Hildebrandt , N. Bissantz , H. Dette

Quantile regression is a method to estimate the quantiles of the conditional distribution of a response variable, and as such it permits a much more accurate portrayal of the relationship between the response variable and observed…

Data Structures and Algorithms · Computer Science 2014-01-08 Jiyan Yang , Xiangrui Meng , Michael W. Mahoney

Nonparametric regression is a standard statistical tool with increased importance in the Big Data era. Boundary points pose additional difficulties but local polynomial regression can be used to alleviate them. Local linear regression, for…

Other Statistics · Statistics 2017-04-04 Srinjoy Das , Dimitris N. Politis