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A new multivariate stochastic volatility estimation procedure for financial time series is proposed. A Wishart autoregressive process is considered for the volatility precision covariance matrix, for the estimation of which a two step…

Computational Finance · Quantitative Finance 2013-11-05 K. Triantafyllopoulos

Stock market volatility forecasting is a task relevant to assessing market risk. We investigate the interaction between news and prices for the one-day-ahead volatility prediction using state-of-the-art deep learning approaches. The…

Statistical Finance · Quantitative Finance 2018-12-31 Marcelo Sardelich , Suresh Manandhar

Markov switching models are a popular family of models that introduces time-variation in the parameters in the form of their state- or regime-specific values. Importantly, this time-variation is governed by a discrete-valued latent…

Econometrics · Economics 2023-11-13 Yong Song , Tomasz Woźniak

Due to the thick boundary layers in hypersonic flows, the state of the boundary layer significantly influences the whole flow field as well as surface heat loads. Hence, for engineering applications the efficient numerical prediction of…

Fluid Dynamics · Physics 2016-11-04 Sarah Frauholz , Birgit U. Reinartz , Siegfried Müller , Marek Behr

The advantages of sequential Monte Carlo (SMC) are exploited to develop parameter estimation and model selection methods for GARCH (Generalized AutoRegressive Conditional Heteroskedasticity) style models. It provides an alternative method…

Applications · Statistics 2020-03-06 Dan Li , Adam Clements , Christopher Drovandi

A simple method is proposed to estimate the instantaneous correlations between state variables in a hybrid system from the empirical correlations between observable market quantities such as spot rate, stock price and implied volatility.…

Computational Finance · Quantitative Finance 2023-07-10 Baron Law

In this work we investigate the generic properties of a stochastic linear model in the regime of high-dimensionality. We consider in particular the Vector AutoRegressive model (VAR) and the multivariate Hawkes process. We analyze both…

Statistical Mechanics · Physics 2015-06-11 Iacopo Mastromatteo , Emmanuel Bacry , Jean-François Muzy

We propose a new approach to volatility modeling by combining deep learning (LSTM) and realized volatility measures. This LSTM-enhanced realized GARCH framework incorporates and distills modeling advances from financial econometrics, high…

Econometrics · Economics 2023-10-18 Chen Liu , Chao Wang , Minh-Ngoc Tran , Robert Kohn

Regime-switching models, in particular Hidden Markov Models (HMMs) where the switching is driven by an unobservable Markov chain, are widely-used in financial applications, due to their tractability and good econometric properties. In this…

Statistical Finance · Quantitative Finance 2016-02-18 Vikram Krishnamurthy , Elisabeth Leoff , Jörn Sass

We discuss the probabilistic properties of the variation based third and fourth moments of financial returns as estimators of the actual moments of the return distributions. The moment variations are defined under non-parametric assumptions…

Statistical Finance · Quantitative Finance 2019-08-15 Kyungsub Lee

This study aims to compare multiple deep learning-based forecasters for the task of predicting volatility using multivariate data. The paper evaluates a range of models, starting from simpler and shallower ones and progressing to deeper and…

Statistical Finance · Quantitative Finance 2023-06-26 Wenbo Ge , Pooia Lalbakhsh , Leigh Isai , Artem Lensky , Hanna Suominen

Motion of particles (bodies) in presence of random effects can be considered stochastic process. However, application of widely known stochastic processes used for description of particle motion is reduced to relatively small class of…

General Physics · Physics 2022-04-14 Jiri Prochazka

A powerful time series analysis modeling technique is presented to describe cycle-to-cycle variability in memristors. These devices show variability linked to the inherent stochasticity of device operation and it needs to be accurately…

Mesoscale and Nanoscale Physics · Physics 2024-02-08 Francisco J. Alonso , David Maldonado , Ana M. Aguilera , Juan B. Roldán

The Preisach model has been useful as a null-model for understanding memory formation in periodically driven disordered systems. In amorphous solids for example, the athermal response to shear is due to localized plastic events (soft…

Soft Condensed Matter · Physics 2020-07-16 M. Mert Terzi , Muhittin Mungan

Statistical static timing analysis deals with the increasing variations in manufacturing processes to reduce the pessimism in the worst case timing analysis. Because of the correlation between delays of circuit components, timing model…

Hardware Architecture · Computer Science 2017-05-16 Bing Li , Ning Chen , Manuel Schmidt , Walter Schneider , Ulf Schlichtmann

We consider the stochastic volatility model obtained by adding a compound Hawkes process to the volatility of the well-known Heston model. A Hawkes process is a self-exciting counting process with many applications in mathematical finance,…

Probability · Mathematics 2022-10-28 David R. Baños , Salvador Ortiz-Latorre , Oriol Zamora Font

This study develops an integrated stochastic modeling framework for pricing short and medium-maturity equity options and assessing interest-rate risk using the Heston (1993), Bates (1996), and CIR (1985) models. We calibrate the Heston…

Portfolio Management · Quantitative Finance 2026-05-28 Nunik Srikandi Putri , Ajay Kumar Verma , Neo Paul Lesupi

In this paper, we analyze the time-series of minute price returns on the Bitcoin market through the statistical models of generalized autoregressive conditional heteroskedasticity (GARCH) family. Several mathematical models have been…

Statistical Finance · Quantitative Finance 2021-02-01 Irena Barjašić , Nino Antulov-Fantulin

This paper develops a flexible and computationally efficient multivariate volatility model, which allows for dynamic conditional correlations and volatility spillover effects among financial assets. The new model has desirable properties…

Methodology · Statistics 2025-07-25 Wenyu Li , Yuchang Lin , Qianqian Zhu , Guodong Li

The fractional stable motion is a prototypical stochastic process exhibiting both heavy tails and long-range dependence, parameterized via a stability index $\alpha$ and a Hurst exponent $H$. We consider a nonstationary extension where the…

Probability · Mathematics 2026-05-01 Fabian Mies , Duuk Sikkens