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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

It is an important task to model realized volatilities for high-frequency data in finance and economics and, as arguably the most popular model, the heterogeneous autoregressive (HAR) model has dominated the applications in this area.…

Methodology · Statistics 2023-03-07 Huiling Yuan , Kexin Lu , Yifeng Guo , Guodong Li

This article is dedicated to the estimation of the regression function when the explanatory variable is a weakly dependent process whose correlation coefficient exhibits exponential decay and has a known bounded density function. The…

Statistics Theory · Mathematics 2025-07-17 Karine Bertin , Lisandro Fermin , Miguel Padrino

The Nelson-Siegel model is widely used in fixed income markets to produce yield curve dynamics. The multiple time-dependent parameter model conveniently addresses the level, slope, and curvature dynamics of the yield curves. In this study,…

Statistical Finance · Quantitative Finance 2026-04-15 Peilun He , Gareth W. Peters , Nino Kordzakhia , Pavel V. Shevchenko

In this paper we aim to improve existing empirical exchange rate models by accounting for uncertainty with respect to the underlying structural representation. Within a flexible Bayesian non-linear time series framework, our modeling…

Econometrics · Economics 2018-12-04 Niko Hauzenberger , Florian Huber

With regard to a three-step estimation procedure, proposed without theoretical discussion by Li and You in Journal of Applied Statistics and Management, for a nonparametric regression model with time-varying regression function, local…

Statistics Theory · Mathematics 2020-10-27 Jiyanglin Li , Tao Li

We introduce flexible robust functional regression models, using various heavy-tailed processes, including a Student $t$-process. We propose efficient algorithms in estimating parameters for the marginal mean inferences and in predicting…

Methodology · Statistics 2017-05-17 Chunzheng Cao , Jian Qing Shi , Youngjo Lee

This work presents a new methodology to obtain probabilistic interval predictions of a dynamical system. The proposed strategy uses stored past system measurements to estimate the future evolution of the system. The method relies on the use…

Systems and Control · Electrical Eng. & Systems 2021-12-21 A. Daniel Carnerero , Daniel R. Ramirez , Teodoro Alamo

Recent studies have shown the classification and prediction power of the Neural Networks. It has been demonstrated that a NN can approximate any continuous function. Neural networks have been successfully used for forecasting of financial…

Neural and Evolutionary Computing · Computer Science 2018-02-09 Bogdan Oancea , ŞTefan Cristian Ciucu

Robust yield curve estimation is crucial in fixed-income markets for accurate instrument pricing, effective risk management, and informed trading strategies. Traditional approaches, including the bootstrapping method and parametric…

Machine Learning · Computer Science 2025-10-27 Sina Molavipour , Alireza M. Javid , Cassie Ye , Björn Löfdahl , Mikhail Nechaev

This paper studies some temporal dependence properties and addresses the issue of parametric estimation for a class of state-dependent autoregressive models for nonlinear time series in which we assume a stochastic autoregressive…

Statistics Theory · Mathematics 2020-02-11 Fabio Gobbi , Sabrina Mulinacci

In this paper, we introduce a novel method to generate interpretable regression function estimators. The idea is based on called data-dependent coverings. The aim is to extract from the data a covering of the feature space instead of a…

Statistics Theory · Mathematics 2021-01-27 Vincent Margot , Jean-Patrick Baudry , Frédéric Guilloux , Olivier Wintenberger

Automated driving systems are often used for lane keeping tasks. By these systems, a local path is planned ahead of the vehicle. However, these paths are often found unnatural by human drivers. We propose a linear driver model, which can…

Robotics · Computer Science 2023-10-05 Gergo Igneczi , Erno Horvath , Roland Toth , Krisztian Nyilas

We propose a regularized factor-augmented vector autoregressive (FAVAR) model that allows for sparsity in the factor loadings. In this framework, factors may only load on a subset of variables which simplifies the factor identification and…

Econometrics · Economics 2019-12-13 Maurizio Daniele , Julie Schnaitmann

We face the factor analysis problem using a particular class of auto-regressive processes. We propose an approximate moment matching approach to estimate the number of factors as well as the parameters of the model. This algorithm…

Optimization and Control · Mathematics 2020-09-08 Francesca Crescente , Lucia Falconi , Federica Rozzi , Augusto Ferrante , Mattia Zorzi

We develop a hierarchical Gaussian process model for forecasting and inference of functional time series data. Unlike existing methods, our approach is especially suited for sparsely or irregularly sampled curves and for curves sampled with…

Methodology · Statistics 2019-07-02 Daniel R. Kowal , David S. Matteson , David Ruppert

This paper deals with estimation with functional covariates. More precisely, we aim at estimating the regression function $m$ of a continuous outcome $Y$ against a standard Wiener coprocess $W$. Following Cadre and Truquet (2015) and Cadre,…

Statistics Theory · Mathematics 2020-11-23 Karine Bertin , Nicolas Klutchnikoff

In this paper we introduce a general estimation methodology for learning a model of human perception and control in a sensorimotor control task based upon a finite set of demonstrations. The model's structure consists of i the agent's…

Machine Learning · Computer Science 2025-05-02 Ran Wei , Anthony D. McDonald , Alfredo Garcia , Gustav Markkula , Johan Engstrom , Matthew O'Kelly

Many causal and structural effects depend on regressions. Examples include policy effects, average derivatives, regression decompositions, average treatment effects, causal mediation, and parameters of economic structural models. The…

Statistics Theory · Mathematics 2022-10-25 Victor Chernozhukov , Whitney K Newey , Rahul Singh

We study how a central bank should dynamically set short-term nominal interest rates to stabilize inflation and unemployment when macroeconomic relationships are uncertain and time-varying. We model monetary policy as a sequential…

Statistical Finance · Quantitative Finance 2026-01-06 Tony Wang , Kyle Feinstein , Sheryl Chen