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We develop a framework especially suited to the autocorrelation properties observed in financial times series, by borrowing from the physical picture of turbulence. The success of our approach as applied to high frequency foreign exchange…

Statistical Mechanics · Physics 2015-06-25 B. Holdom

The aim of this paper is to propose a new methodology that allows forecasting, through Vasicek and CIR models, of future expected interest rates (for each maturity) based on rolling windows from observed financial market data. The novelty,…

Computational Finance · Quantitative Finance 2019-01-16 Giuseppe Orlando , Rosa Maria Mininni , Michele Bufalo

The study of the dynamic behavior of cross-sectional ranks over time for functional data and the ranks of the observed curves at each time point and their temporal evolution can yield valuable insights into the time dynamics of functional…

Methodology · Statistics 2020-05-11 Yaqing Chen , Matthew Dawson , Hans-Georg Müller

Vector autoregressive (VAR) models are widely used in practical studies, e.g., forecasting, modelling policy transmission mechanism, and measuring connection of economic agents. To better capture the dynamics, this paper introduces a new…

Econometrics · Economics 2021-11-02 Yayi Yan , Jiti Gao , Bin Peng

New fast estimation methods stemming from control theory lead to a fresh look at time series, which bears some resemblance to "technical analysis". The results are applied to a typical object of financial engineering, namely the forecast of…

Applications · Statistics 2009-03-23 Michel Fliess , Cédric Join

The Secured Overnight Funding Rate (SOFR) is becoming the main Risk-Free Rate benchmark in US dollars, thus interest rate term structure models need to be updated to reflect the key features exhibited by the dynamics of SOFR and the forward…

Mathematical Finance · Quantitative Finance 2021-01-13 Karol Gellert , Erik Schlögl

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

The Foreign Exchange market is a significant market for speculators, characterized by substantial transaction volumes and high volatility. Accurately predicting the directional movement of currency pairs is essential for formulating a sound…

Statistical Finance · Quantitative Finance 2024-10-08 Kevin Cedric Guyard , Michel Deriaz

We study the local volatility function in the Foreign Exchange market where both domestic and foreign interest rates are stochastic. This model is suitable to price long-dated FX derivatives. We derive the local volatility function and…

Pricing of Securities · Quantitative Finance 2012-04-04 Griselda Deelstra , Grégory Rayée

This article is an extension of the work of one of us (Coopersmith, 2011) in deriving the relationship between certain interest rates and the inflation rate of a two component economic system. We use the well-known Fisher relation between…

Economics · Quantitative Finance 2016-03-29 Michael Coopersmith , Pascal J. Gambardella

We study additive function-on-function regression where the mean response at a particular time point depends on the time point itself as well as the entire covariate trajectory. We develop a computationally efficient estimation methodology…

Methodology · Statistics 2016-12-15 Janet S. Kim , Ana-Maria Staicu , Arnab Maity , Raymond J. Carroll , David Ruppert

This paper reports empirical evidence that a neural networks model is applicable to the statistically reliable prediction of foreign exchange rates. Time series data and technical indicators such as moving average, are fed to neural nets to…

Disordered Systems and Neural Networks · Physics 2016-08-31 V. V. Kondratenko , Yu. A Kuperin

While machine learning has revolutionized many fields such as natural language processing (NLP) and computer vision, its impact on time-series forecasting is still widely disputed, especially in the finance domain. This paper compares…

Artificial Intelligence · Computer Science 2026-05-12 Aman Singh , Tokunbo Ogunfunmi , Sanjiv Das

The article is concerned with the problem of multi-step financial time series forecasting of Foreign Exchange (FX) rates. To address this problem, we introduce a regression network termed RegPred Net. The exchange rate to forecast is…

Statistical Finance · Quantitative Finance 2022-05-12 Linwei Li , Paul-Amaury Matt , Christian Heumann

Human drivers produce a vast amount of data which could, in principle, be used to improve autonomous driving systems. Unfortunately, seemingly straightforward approaches for creating end-to-end driving models that map sensor data directly…

Computer Vision and Pattern Recognition · Computer Science 2020-11-10 Yi Xiao , Felipe Codevilla , Christopher Pal , Antonio M. Lopez

Automated driving systems require monitoring mechanisms to ensure safe operation, especially if system components degrade or fail. Their runtime self-representation plays a key role as it provides a-priori knowledge about the system's…

Robotics · Computer Science 2024-07-30 Richard Schubert , Marvin Loba , Jasper Sünnemann , Torben Stolte , Markus Maurer

We consider the recursive estimation of a regression functional where the explanatory variables take values in some functional space. We prove the almost sure convergence of such estimates for dependent functional data. Also we derive the…

Statistics Theory · Mathematics 2013-04-19 Aboubacar Amiri , Baba Thiam

As with classic statistics, functional regression models are invaluable in the analysis of functional data. While there are now extensive tools with accompanying theory available for linear models, there is still a great deal of work to be…

Statistics Theory · Mathematics 2018-06-25 Matthew Reimherr , Bharath Sriperumbudur , Bahaeddine Taoufik

We price European options in a class of models in which the volatility of the underlying risky asset depends on the short rate of interest. Our study results in an explicit pricing formula that depends on knowledge of a characteristic…

Mathematical Finance · Quantitative Finance 2026-02-03 Tim Leung , Matthew Lorig

This paper seeks to forecast intraday volatility curves for major foreign exchange (FX) currencies using functional GARCH models. Intraday return curves are observed at a daily frequency, yet preserve the full high-frequency trading…

Methodology · Statistics 2025-10-01 Fearghal Kearney , Han Lin Shang , Yuqian Zhao