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We propose a novel framework for modeling the yield curve from a quantile perspective. Building on the dynamic Nelson-Siegel model of Diebold et al. (2006), we extend its traditional mean-based approach to a quantile regression setting,…

Applications · Statistics 2025-07-09 Matteo Iacopini , Aubrey Poon , Luca Rossini , Dan Zhu

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

We explore tree-based macroeconomic regime-switching in the context of the dynamic Nelson-Siegel (DNS) yield-curve model. In particular, we customize the tree-growing algorithm to partition macroeconomic variables based on the DNS model's…

Econometrics · Economics 2025-05-07 Siyu Bie , Francis X. Diebold , Jingyu He , Junye Li

The Dynamic Nelson--Siegel (DNS) model is a widely used framework for term structure forecasting. We propose a novel extension that models DNS residuals as a Gaussian random field, capturing dependence across both time and maturity. The…

Applications · Statistics 2026-01-01 Qihao Duan , Alexandre B. Simas , David Bolin , Raphaël Huser

Yield curve modeling is an essential problem in finance. In this work, we explore the use of Bayesian statistical methods in conjunction with Nelson-Siegel model. We present the hierarchical Bayesian model for the parameters of the…

Statistical Finance · Quantitative Finance 2018-10-04 Sourish Das

In the analysis of commodity futures, it is commonly assumed that futures prices are driven by two latent factors: short-term fluctuations and long-term equilibrium price levels. In this study, we extend this framework by introducing a…

Statistical Finance · Quantitative Finance 2024-12-10 Peilun He , Gareth W. Peters , Nino Kordzakhia , Pavel V. Shevchenko

The functional linear model is a popular tool to investigate the relationship between a scalar/functional response variable and a scalar/functional covariate. We generalize this model to a functional linear mixed-effects model when repeated…

Methodology · Statistics 2016-01-07 Baisen Liu , Jiguo Cao

This manuscript introduces deep learning models that simultaneously describe the dynamics of several yield curves. We aim to learn the dependence structure among the different yield curves induced by the globalization of financial markets…

Machine Learning · Statistics 2024-11-20 Ronald Richman , Salvatore Scognamiglio

In supervised learning, the output variable to be predicted is often represented as a function, such as a spectrum or probability distribution. Despite its importance, functional output regression remains relatively unexplored. In this…

Machine Learning · Statistics 2025-03-19 Minoru Kusaba , Megumi Iwayama , Ryo Yoshida

Stress-strain curves, or more generally, stress functions, are an extremely important characterization of a material's mechanical properties. However, stress functions are often difficult to derive and are narrowly tailored to a specific…

Materials Science · Physics 2023-12-21 Garrett Blum , Ryan Doris , Diego Klabjan , Horacio Espinosa , Ron Szalkowski

Viewing a yield curve as a sparse collection of measurements on a latent continuous random function allows us to model it statistically as a sparsely observed functional time series. Doing so, we use the state-of-the-art methods in…

Applications · Statistics 2020-07-07 Tomáš Rubín

The Nelson-Siegel framework is employed to model the term structure of commodity futures prices. Exploiting the information embedded in the level, slope and curvature parameters, we develop novel investment strategies that assume short-term…

General Finance · Quantitative Finance 2023-08-02 Robert J Bianchi , John Hua Fan , Joelle Miffre , Tingxi Zhang

We study U.S. Treasury yield curve forecasting under distributional uncertainty and recast forecasting as an operations research and managerial decision problem. Rather than minimizing average forecast error, the forecaster selects a…

Mathematical Finance · Quantitative Finance 2026-01-09 Jinjun Liu , Ming-Yen Cheng

Level, slope, and curvature are three commonly-believed principal components in interest rate term structure and are thus widely used in modeling. This paper characterizes the heterogeneity of how misspecified such models are through time.…

Econometrics · Economics 2022-12-22 Kaiwen Hou

We present a Bayesian approach for modeling multivariate, dependent functional data. To account for the three dominant structural features in the data--functional, time dependent, and multivariate components--we extend hierarchical dynamic…

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

The stress-strain curves of most metallic alloys are often described using the relatively simple Ramberg-Osgood relationship. Whilst this description captures the overall stress-strain curve under monotonic tensile loading with reasonable…

Materials Science · Physics 2022-06-28 Jingwei Chen , Alexander M. Korsunsky

We revisit the classical problem of comparing regression functions, a fundamental question in statistical inference with broad relevance to modern applications such as data integration, transfer learning, and causal inference. Existing…

Methodology · Statistics 2025-10-29 Jian Yan , Zhuoxi Li , Yang Ning , Yong Chen

Financial returns are known to exhibit heavy tails, volatility clustering and abrupt jumps that are poorly captured by classical diffusion models. Advances in machine learning have enabled highly flexible functional forms for conditional…

Risk Management · Quantitative Finance 2025-09-03 Ziyao Wang , Svetlozar T Rachev

Accurate forecasting of zero coupon bond yields for a continuum of maturities is paramount to bond portfolio management and derivative security pricing. Yet a universal model for yield curve forecasting has been elusive, and prior attempts…

Applications · Statistics 2012-09-28 Spencer Hays , Haipeng Shen , Jianhua Z. Huang

Samples of curves, or functional data, usually present phase variability in addition to amplitude variability. Existing functional regression methods do not handle phase variability in an efficient way. In this paper we propose a functional…

Methodology · Statistics 2013-10-09 Daniel Gervini
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