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This paper presents a novel adaptive control methodology for uncertain systems with time-varying unknown parameters and time-varying bounded disturbance. The adaptive controller ensures uniformly bounded transient and asymptotic tracking…

Optimization and Control · Mathematics 2007-05-23 Chengyu Cao , Naira Hovakimyan

Additive regression provides an extension of linear regression by modeling the signal of a response as a sum of functions of covariates of relatively low complexity. We study penalized estimation in high-dimensional nonparametric additive…

Statistics Theory · Mathematics 2017-04-25 Zhiqiang Tan , Cun-Hui Zhang

We propose a flexible dual functional factor model for modelling high-dimensional functional time series. In this model, a high-dimensional fully functional factor parametrisation is imposed on the observed functional processes, whereas a…

Econometrics · Economics 2024-01-15 Chenlei Leng , Degui Li , Hanlin Shang , Yingcun Xia

In this paper we propose a general series method to estimate a semiparametric partially linear varying coefficient model. We establish the consistency and \sqrtn-normality property of the estimator of the finite-dimensional parameters of…

Statistics Theory · Mathematics 2007-06-13 Ibrahim Ahmad , Sittisak Leelahanon , Qi Li

Interval identification of parameters such as average treatment effects, average partial effects and welfare is particularly common when using observational data and experimental data with imperfect compliance due to the endogeneity of…

Econometrics · Economics 2025-04-09 Sukjin Han , Adam McCloskey

This paper presents a new parameter estimation algorithm for the adaptive control of a class of time-varying plants. The main feature of this algorithm is a matrix of time-varying learning rates, which enables parameter estimation error…

Optimization and Control · Mathematics 2021-11-18 Joseph E. Gaudio , Anuradha M. Annaswamy , Eugene Lavretsky , Michael A. Bolender

Stochastic frontier models have attracted considerable attention due to the incorporation of an inefficiency term in addition to the conventional error term. In this paper, we propose a general estimation framework for panel stochastic…

Econometrics · Economics 2026-04-22 Kazuki Tomioka , Thomas T. Yang , Xibin Zhang

The paper deals with generalized functional regression. The aim is to estimate the influence of covariates on observations, drawn from an exponential distribution. The link considered has a semiparametric expression: if we are interested in…

Statistics Theory · Mathematics 2013-09-20 Irène Gannaz

The scope of this research is the identification of unknown piecewise constant parameters of linear regression equation under the finite excitation condition. Compared to the known methods, to make the computational burden lower, only one…

Systems and Control · Electrical Eng. & Systems 2022-08-05 Anton Glushchenko , Konstantin Lastochkin

Many econometric analyses involve spatio--temporal data. A considerable amount of literature has addressed spatio--temporal models, with Spatial Dynamic Panel Data (SDPD) being widely investigated and applied. In real data applications,…

Methodology · Statistics 2016-07-18 Maria Lucia Parrella

We study the problem of estimating the parameters of a regression model from a set of observations, each consisting of a response and a predictor. The response is assumed to be related to the predictor via a regression model of unknown…

Machine Learning · Statistics 2016-05-19 Carlos Alberto Gomez-Uribe

In this paper, we develop a new and effective approach to nonparametric quantile regression that accommodates ultrahigh-dimensional data arising from spatio-temporal processes. This approach proves advantageous in staving off computational…

Methodology · Statistics 2024-05-27 Soudeep Deb , Claudia Neves , Subhrajyoty Roy

Practical inference procedures for quantile regression models of panel data have been a pervasive concern in empirical work, and can be especially challenging when the panel is observed over many time periods and temporal dependence needs…

Econometrics · Economics 2025-07-25 Antonio F. Galvao , Carlos Lamarche , Thomas Parker

We develop a general estimation and inference procedure for the common parameters in linear panel data regression models with nonparametric two-way specification of unobserved heterogeneity. The procedure takes as input any first-step…

Econometrics · Economics 2026-05-08 Hugo Freeman , Dennis Kristensen

We consider nonparametric regression with functional covariates, that is, they are elements of an infinite-dimensional Hilbert space. A locally polynomial estimator is constructed, where an orthonormal basis and various tuning parameters…

Statistics Theory · Mathematics 2025-04-09 Moritz Jirak , Alois Kneip , Alexander Meister , Mario Pahl

In this paper, we propose a varying coefficient panel data model with unobservable multiple interactive fixed effects that are correlated with the regressors. We approximate each coefficient function by B-spline, and propose a robust…

Methodology · Statistics 2018-03-08 Sanying Feng , Gaorong Li , Heng Peng , Tiejun Tong

In this paper we propose a multivariate ordinal regression model which allows the joint modeling of three-dimensional panel data containing both repeated and multiple measurements for a collection of subjects. This is achieved by a…

Methodology · Statistics 2024-02-02 Laura Vana-Gür

In this paper an adaptive state observer and parameter identification algorithm for a linear time-varying system are developed under condition that the state matrix of the system contains unknown time-varying parameters of a known form. The…

Systems and Control · Electrical Eng. & Systems 2024-02-22 Olga Kozachek , Nikolay Nikolaev , Olga Slita , Alexey Bobtsov

Panel data, also known as longitudinal data, consist of a collection of time series. Each time series, which could itself be multivariate, comprises a sequence of measurements taken on a distinct unit. Mechanistic modeling involves writing…

Methodology · Statistics 2021-05-27 Carles Bretó , Edward L. Ionides , Aaron A. King

The stochastic frontier model with heterogeneous technical efficiency explained by exoge-nous variables is augmented with a spatial-temporal component, a generalization relaxing the panel independence assumption in a panel data. The…

Methodology · Statistics 2021-04-29 Erniel B. Barrios , John D. Eustaquio , Rouselle F. Lavado