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This paper introduces a data-adaptive non-parametric approach for the estimation of time-varying spectral densities from nonstationary time series. Time-varying spectral densities are commonly estimated by local kernel smoothing. The…

Computation · Statistics 2020-07-21 Anne van Delft , Michael Eichler

This paper proposes nonparametric kernel-smoothing estimation for panel data to examine the degree of heterogeneity across cross-sectional units. We first estimate the sample mean, autocovariances, and autocorrelations for each unit and…

Econometrics · Economics 2019-05-28 Ryo Okui , Takahide Yanagi

Time-varying parameter (TVP) regressions commonly assume that time-variation in the coefficients is determined by a simple stochastic process such as a random walk. While such models are capable of capturing a wide range of dynamic…

Econometrics · Economics 2021-03-01 Manfred M. Fischer , Niko Hauzenberger , Florian Huber , Michael Pfarrhofer

We propose a nonparametric bivariate time-varying coefficient model for longitudinal measurements with the occurrence of a terminal event that is subject to right censoring. The time-varying coefficients capture the longitudinal…

Methodology · Statistics 2021-11-10 Yue Wang , Bin Nan , Jack D. Kalbfleisch

In this paper we estimate the dynamic parameters of a time-varying coefficient model through radial kernel functions in the context of a longitudinal study. Our proposal is based on a linear combination of weighted kernel functions…

Methodology · Statistics 2021-03-02 Juan Sosa , Lina Buitrago

In this paper, we study nonparametric models allowing for locally stationary regressors and a regression function that changes smoothly over time. These models are a natural extension of time series models with time-varying coefficients. We…

Statistics Theory · Mathematics 2013-02-19 Michael Vogt

We investigate the discrepancy principle for choosing smoothing parameters for kernel density estimation. The method is based on the distance between the empirical and estimated distribution functions. We prove some new positive and…

Statistics Theory · Mathematics 2015-03-19 Thoralf Mildenberger

We consider the problem of bandwidth selection by cross-validation from a sequential point of view in a nonparametric regression model. Having in mind that in applications one often aims at estimation, prediction and change detection…

Statistics Theory · Mathematics 2018-03-20 Ansgar Steland

In this paper, we propose a variable selection method for general nonparametric kernel-based estimation. The proposed method consists of two-stage estimation: (1) construct a consistent estimator of the target function, (2) approximate the…

Machine Learning · Statistics 2018-12-05 Kota Matsui , Wataru Kumagai , Kenta Kanamori , Mitsuaki Nishikimi , Takafumi Kanamori

A novel numerical method for the estimation of large time-varying parameter (TVP) models is proposed. The updating and smoothing estimates of the TVP model are derived within the context of generalised linear least squares and through…

Methodology · Statistics 2018-01-23 Stella Hadjiantoni , Erricos J. Kontoghiorghes

We estimate on a compact interval densities with isolated irregularities, such as discontinuities or discontinuities in some derivatives. From independent and identically distributed observations we construct a kernel estimator with…

Statistics Theory · Mathematics 2024-07-16 Céline Duval , Émeline Schmisser

In this paper, we write the time-varying parameter (TVP) regression model involving K explanatory variables and T observations as a constant coefficient regression model with KT explanatory variables. In contrast with much of the existing…

Econometrics · Economics 2021-10-01 Niko Hauzenberger , Florian Huber , Gary Koop , Luca Onorante

We extend the well-known $\beta$-model for directed graphs to dynamic network setting, where we observe snapshots of adjacency matrices at different time points. We propose a kernel-smoothed likelihood approach for estimating $2n$…

Methodology · Statistics 2023-05-22 Yuqing Du , Lianqiang Qu , Ting Yan , Yuan Zhang

In this paper, we are interested in the problem of smoothing parameter selection in nonparametric curve estimation under dependent errors. We focus on kernel estimation and the case when the errors form a general stationary sequence of…

Statistics Theory · Mathematics 2021-04-14 Karim Benhenni , Didier Girard , Sana Louhichi

We propose a new method for input variable selection in nonlinear regression. The method is embedded into a kernel regression machine that can model general nonlinear functions, not being a priori limited to additive models. This is the…

Machine Learning · Computer Science 2018-09-05 Magda Gregorová , Jason Ramapuram , Alexandros Kalousis , Stéphane Marchand-Maillet

We propose a test for model specification of a parametric diffusion process based on a kernel estimation of the transitional density of the process. The empirical likelihood is used to formulate a statistic, for each kernel smoothing…

Statistics Theory · Mathematics 2009-09-29 Song Xi Chen , Jiti Gao , Cheng Yong Tang

We propose a time-varying generalization of the Bradley-Terry model that allows for nonparametric modeling of dynamic global rankings of distinct teams. We develop a novel estimator that relies on kernel smoothing to pre-process the…

Statistics Theory · Mathematics 2020-03-03 Heejong Bong , Wanshan Li , Shamindra Shrotriya , Alessandro Rinaldo

Many real-world systems modeled using partial differential equations (PDEs) involve unknown parameters that must be estimated from limited, noisy system observations. While typically assumed to be constants, some of these unobserved…

Methodology · Statistics 2025-08-19 Andrea Arnold

We consider the problem of streaming kernel regression, when the observations arrive sequentially and the goal is to recover the underlying mean function, assumed to belong to an RKHS. The variance of the noise is not assumed to be known.…

Machine Learning · Statistics 2017-08-03 Audrey Durand , Odalric-Ambrym Maillard , Joelle Pineau

In this paper, we deal with nonparametric regression for circular data, meaning that observations are represented by points lying on the unit circle. We propose a kernel estimation procedure with data-driven selection of the bandwidth…

Statistics Theory · Mathematics 2023-07-03 Tien Dat Nguyen , Thanh Mai Pham Ngoc , Vincent Rivoirard
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