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We propose a way of transforming the problem of conditional density estimation into a single nonparametric regression task via the introduction of auxiliary samples. This allows leveraging regression methods that work well in high…

Machine Learning · Statistics 2025-11-25 Alexander G. Reisach , Olivier Collier , Alex Luedtke , Antoine Chambaz

We introduce a nonparametric spectral density estimator for continuous-time and continuous-space processes measured at fully irregular locations. Our estimator is constructed using a weighted nonuniform Fourier sum whose weights yield a…

Methodology · Statistics 2025-10-07 Christopher J. Geoga , Paul G. Beckman

This paper tackles the issue of real-time parametric estimation of a wide class of probability density functions from limited datasets. This type of estimation addresses recent applications that require joint sensing and actuation. The…

Information Theory · Computer Science 2022-03-21 Ahmad A. Masoud

We tackle estimation and prediction at non-visted sites in a spatial semi-functional linear regression model with derivatives that combines a functional linear model with a nonparametric regression one. The parametric part is estimated by a…

Statistics Theory · Mathematics 2022-11-22 Stéphane Bouka , Kowir Pambo Bello , Guy Martial Nkiet

The functional linear model is an important extension of the classical regression model allowing for scalar responses to be modeled as functions of stochastic processes. Yet, despite the usefulness and popularity of the functional linear…

Methodology · Statistics 2025-11-27 Ioannis Kalogridis , Stanislav Nagy

This article introduces a novel nonparametric methodology for Generalized Linear Models which combines the strengths of the binary regression and latent variable formulations for categorical data, while overcoming their disadvantages.…

Machine Learning · Statistics 2021-10-12 K. P. Chowdhury

Uncertainty analysis in the form of probabilistic forecasting can provide significant improvements in decision-making processes in the smart power grid for better integrating renewable energies such as wind. Whereas point forecasting…

Machine Learning · Statistics 2018-03-30 Kostas Hatalis , Shalinee Kishore , Katya Scheinberg , Alberto Lamadrid

This paper develops a novel nonparametric significance test based on a tailored nonparametric-type projected weighting function that exhibits appealing theoretical and numerical properties. We derive the asymptotic properties of the…

Econometrics · Economics 2026-02-18 Xiaojun Song , Jichao Yuan

The functional linear model extends the notion of linear regression to the case where the response and covariates are iid elements of an infinite dimensional Hilbert space. The unknown to be estimated is a Hilbert-Schmidt operator, whose…

Statistics Theory · Mathematics 2016-12-22 Tung Pham , Victor Panaretos

Bayesian predictive synthesis (BPS) provides a method for combining multiple predictive distributions based on agent/expert opinion analysis theory and encompasses a range of existing density forecast pooling methods. The key ingredient in…

Econometrics · Economics 2023-11-22 Tony Chernis , Niko Hauzenberger , Florian Huber , Gary Koop , James Mitchell

In this study, we develop an asymptotic theory of nonparametric regression for a locally stationary functional time series. First, we introduce the notion of a locally stationary functional time series (LSFTS) that takes values in a…

Statistics Theory · Mathematics 2022-07-04 Daisuke Kurisu

We provide finite-sample analysis of a general framework for using k-nearest neighbor statistics to estimate functionals of a nonparametric continuous probability density, including entropies and divergences. Rather than plugging a…

Statistics Theory · Mathematics 2016-08-23 Shashank Singh , Barnabás Póczos

In this paper we consider a regression model that allows for time series covariates as well as heteroscedasticity with a regression function that is modelled nonparametrically. We assume that the regression function changes at some unknown…

Statistics Theory · Mathematics 2019-09-17 Maria Mohr , Leonie Selk

In this paper, we consider a weighted local linear estimator based on the inverse selection probability for nonparametric regression with missing covariates at random. The asymptotic distribution of the maximal deviation between the…

Methodology · Statistics 2020-03-03 Li Cai , Lijie Gu , Qihua Wang , Suojin Wang

Consider discrete values of functions shifted by unobserved translation effects, which are independent realizations of a random variable with unknown distribution $\mu$, modeling the variability in the response of each individual. Our aim…

Statistics Theory · Mathematics 2008-12-18 Ismael Castillo , Jean-Michel Loubes

This article investigates nonparametric estimation of variance functions for functional data when the mean function is unknown. We obtain asymptotic results for the kernel estimator based on squared residuals. Similar to the finite…

Methodology · Statistics 2008-12-16 Heng Lian

In this article, we propose a new nonparametric data analysis tool, which we call nonparametric modal regression, to investigate the relationship among interested variables based on estimating the mode of the conditional density of a…

Methodology · Statistics 2016-02-23 Weixin Yao , Sijia Xiang

Motivated by the need to analyze continuously updated data sets in the context of time-to-event modeling, we propose a novel nonparametric approach to estimate the conditional hazard function given a set of continuous and discrete…

Methodology · Statistics 2025-07-03 Daphné Aurouet , Valentin Patilea

Nonparametric mean function regression with repeated measurements serves as a cornerstone for many statistical branches, such as longitudinal/panel/functional data analysis. In this work, we investigate this problem using fully connected…

Statistics Theory · Mathematics 2025-02-27 Shunxing Yan , Fang Yao , Hang Zhou

The function-on-function linear regression model in which the response and predictors consist of random curves has become a general framework to investigate the relationship between the functional response and functional predictors.…

Methodology · Statistics 2021-11-03 Ufuk Beyaztas , Han Lin Shang