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Used to investigate the presence of distinctive recurrent behaviours in natural processes, the recurrence plots can be applied to the analysis of economic data, and, in particular, to the characterization of exchange rates of currencies…

Statistical Finance · Quantitative Finance 2015-08-06 Amelia Carolina Sparavigna

The Lorenz curve is a fundamental tool for analysing income and wealth distribution and inequality at national and regional levels. We utilise a one-way functional analysis of variance to decompose a time series of Lorenz curves and develop…

Methodology · Statistics 2025-04-08 Han Lin Shang

The paper introduces a flexible model for the analysis of multivariate nonlinear time series data. The proposed Functional Coefficients Network Autoregressive (FCNAR) model considers the response of each node in the network to depend in a…

Methodology · Statistics 2024-02-13 Hang Yin , Abolfazl Safikhani , George Michailidis

In this paper, we study the estimation of the derivative of a regression function in a standard univariate regression model. The estimators are defined either by derivating nonparametric least-squares estimators of the regression function…

Statistics Theory · Mathematics 2023-11-13 Fabienne Comte , Nicolas Marie

This paper addresses the structure and dynamics of an open market economy and its relations with the real interest rate. In this respect, the paper is situated within a broad conventional literature. However, it departs from the standard…

General Economics · Economics 2026-05-06 Carlos Esteban Posada , Liz Londoño-Sierra

The functional linear regression model with points of impact is a recent augmentation of the classical functional linear model with many practically important applications. In this work, however, we demonstrate that the existing data-driven…

Applications · Statistics 2020-01-14 Dominik Liebl , Stefan Rameseder , Christoph Rust

In this work we show that prediction uncertainty estimates gleaned from deep learning models can be useful inputs for influencing the relative allocation of risk capital across trades. In this way, consideration of uncertainty is important…

Statistical Finance · Quantitative Finance 2020-08-03 Trent Spears , Stefan Zohren , Stephen Roberts

Predicting the motion of dynamic agents is a critical task for guaranteeing the safety of autonomous systems. A particular challenge is that motion prediction algorithms should obey dynamics constraints and quantify prediction uncertainty…

Robotics · Computer Science 2023-09-28 Renukanandan Tumu , Lars Lindemann , Truong Nghiem , Rahul Mangharam

We propose a new autocorrelation measure for functional time series that we term spherical autocorrelation. It is based on measuring the average angle between lagged pairs of series after having been projected onto the unit sphere. This new…

Methodology · Statistics 2022-07-14 Chi-Kuang Yeh , Gregory Rice , Joel A. Dubin

In this paper we introduce a new methodology to determine an optimal coefficient of penalized functional regression. We assume the dependent, independent variables and the regression coefficients are functions of time and error dynamics…

Methodology · Statistics 2021-07-07 Paramahansa Pramanik , Alan M. Polansky

Motivated by the remarkable success of Bayesian additive regression trees (BART) in regression modelling, we propose a novel nonparametric Bayesian method, termed Functional BART (FBART), tailored specifically for function-on-scalar…

Methodology · Statistics 2025-06-03 Jiahao Cao , Shiyuan He , Bohai Zhang

In this paper several related estimation problems are addressed from a Bayesian point of view and optimal estimators are obtained for each of them when some natural loss functions are considered. Namely, we are interested in estimating a…

Statistics Theory · Mathematics 2021-10-27 A. G. Nogales

We empirically investigated the relationships between the degree of efficiency and the predictability in financial time-series data. The Hurst exponent was used as the measurement of the degree of efficiency, and the hit rate calculated…

Statistical Finance · Quantitative Finance 2009-11-13 Cheoljun Eom , Sunghoon Choi , Gabjin Oh , Woo-Sung Jung

The term structure of interest rates or yield curve is a function relating the interest rate with its own term. Nonlinear regression models of Nelson-Siegel and Svensson were used to estimate the yield curve using a sample of historical…

General Finance · Quantitative Finance 2020-01-06 Andres Quiros-Granados , JAvier Trejos-Zelaya

We present a detailed analysis of interest rate derivatives valuation under credit risk and collateral modeling. We show how the credit and collateral extended valuation framework in Pallavicini et al (2011), and the related collateralized…

Pricing of Securities · Quantitative Finance 2015-09-15 Giacomo Bormetti , Damiano Brigo , Marco Francischello , Andrea Pallavicini

The integration of renewable resources has increased in power generation as a means to reduce the fossil fuel usage and mitigate its adverse effects on the environment. However, renewables like solar energy are stochastic in nature due to…

Robust estimation and variable selection procedure are developed for the extended t-process regression model with functional data. Statistical properties such as consistency of estimators and predictions are obtained. Numerical studies show…

Applications · Statistics 2018-12-20 Zhanfeng Wang , Kai Li , Jian Qing Shi

We introduce a tractable multi-currency model with stochastic volatility and correlated stochastic interest rates that takes into account the smile in the FX market and the evolution of yield curves. The pricing of vanilla options on FX…

Pricing of Securities · Quantitative Finance 2013-03-13 Alessandro Gnoatto , Martino Grasselli

Functional variables are often used as predictors in regression problems. A commonly-used parametric approach, called {\it scalar-on-function regression}, uses the $\ltwo$ inner product to map functional predictors into scalar responses.…

Methodology · Statistics 2020-06-02 Kyungmin Ahn , J. Derek Tucker , Wei Wu , Anuj Srivastava

Human action-anticipation methods predict what is the future action by observing only a few portion of an action in progress. This is critical for applications where computers have to react to human actions as early as possible such as…

Computer Vision and Pattern Recognition · Computer Science 2018-08-02 Cristian Rodriguez , Basura Fernando , Hongdong Li
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