English
Related papers

Related papers: Modeling of Volatility with Non-linear Time Series…

200 papers

This paper aims to study the prediction of the bank stability index based on the Time Series Transformer model. The bank stability index is an important indicator to measure the health status and risk resistance of financial institutions.…

Risk Management · Quantitative Finance 2024-12-06 Wenying Sun , Zhen Xu , Wenqing Zhang , Kunyuan Ma , You Wu , Mengfang Sun

Different disciplines pursue the aim to develop models which characterize certain phenomena as accurately as possible. Climatology is a prime example, where the temporal evolution of the climate is modeled. In order to compare and improve…

Methodology · Statistics 2017-02-03 T. M. Erhardt , C. Czado , T. L. Thorarinsdottir

Financial markets exhibit alternating periods of rising and falling prices. Stock traders seeking to make profitable investment decisions have to account for those trends, where the goal is to accurately predict switches from bullish…

Methodology · Statistics 2020-07-30 Lennart Oelschläger , Timo Adam

We propose a multiscale approach to time series autoregression, in which linear regressors for the process in question include features of its own path that live on multiple timescales. We take these multiscale features to be the recent…

Methodology · Statistics 2024-12-17 Rafal Baranowski , Yining Chen , Piotr Fryzlewicz

This paper introduces an extension of the Markov switching GARCH model where the volatility in each state is a convex combination of two different GARCH components with time varying weights. This model has the dynamic behavior to capture…

Methodology · Statistics 2014-02-20 N. Alemohammad , S. Rezakhah , S. H. Alizadeh

Norms of Persistent Homology introduced in topological data analysis are seen as indicators of system instability, analogous to the changing predictability that is captured in financial market uncertainty indexes. This paper demonstrates…

General Finance · Quantitative Finance 2021-10-04 Simon Rudkin , Wanling Qiu , Pawel Dlotko

This paper proposes a flexible framework for inferring large-scale time-varying and time-lagged correlation networks from multivariate or high-dimensional non-stationary time series with piecewise smooth trends. Built on a novel and unified…

Methodology · Statistics 2023-02-13 Lujia Bai , Weichi Wu

In this paper, we study nonparametric models allowing for locally stationary regressors and a regression function that changes smoothly over time. These models are a natural extension of time series models with time-varying coefficients. We…

Statistics Theory · Mathematics 2013-02-19 Michael Vogt

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

Probabilistic forecasting of multivariate time series is essential for various downstream tasks. Most existing approaches rely on the sequences being uniformly spaced and aligned across all variables. However, real-world multivariate time…

Machine Learning · Computer Science 2025-02-18 Yijun Li , Cheuk Hang Leung , Qi Wu

Analysis of multivariate time series is a common problem in areas like finance and economics. The classical tool for this purpose are vector autoregressive models. These however are limited to the modeling of linear and symmetric…

Methodology · Statistics 2012-04-05 Eike Christian Brechmann , Claudia Czado

Stock markets can be characterized by fat tails in the volatility distribution, clustering of volatilities and slow decay of their time correlations. For an explanation models with several mechanisms and consequently many parameters as the…

Statistical Mechanics · Physics 2009-11-07 Friedrich Wagner

Single index financial market models cannot account for the empirically observed complex interactions between shares in a market. We describe a multi-share financial market model and compare characteristics of the volatility, that is the…

Condensed Matter · Physics 2009-10-31 Adam Ponzi

The HGARCH model allows long-memory impact in volatilities. A new HGARCH model with time-varying amplitude is considered in this paper. We show the stability of the model as well. A score test is introduced to check the time-varying…

Statistics Theory · Mathematics 2018-03-21 Ferdous Mohammadi Basatini , Saeid Rezakhah

In light of widespread evidence of parameter instability in macroeconomic models, many time-varying parameter (TVP) models have been proposed. This paper proposes a nonparametric TVP-VAR model using Bayesian additive regression trees (BART)…

Econometrics · Economics 2023-05-08 Niko Hauzenberger , Florian Huber , Gary Koop , James Mitchell

This paper introduces a novel process for both factor and idiosyncratic volatility matrices whose eigenvalues follow the vector auto-regressive (VAR) model. We call it the factor and idiosyncratic VAR (FIVAR) model. The FIVAR model accounts…

Methodology · Statistics 2025-09-25 Minseok Shin , Donggyu Kim , Yazhen Wang , Jianqing Fan

We present a method of parameter estimation for large class of nonlinear systems, namely those in which the state consists of output derivatives and the flow is linear in the parameter. The method, which solves for the unknown parameter by…

Systems and Control · Electrical Eng. & Systems 2024-07-16 Simon Kuang , Xinfan Lin

Fat tails in financial time series and increase of stocks cross-correlations in high volatility periods are puzzling facts that ask for new paradigms. Both points are of key importance in fundamental research as well as in Risk Management…

Statistical Mechanics · Physics 2008-12-02 Marco Airoldi

We study the behavior of a real-valued and unobservable process (Y_t) under an extreme event of a related process (X_t) that is observable. Our analysis is motivated by the well-known GARCH model which represents two such sequences, i.e.…

Probability · Mathematics 2013-05-16 Andree Ehlert , Ulf-Rainer Fiebig , Anja Janßen , Martin Schlather

In the past few decades considerable effort has been expended in characterizing and modeling financial time series. A number of stylized facts have been identified, and volatility clustering or the tendency toward persistence has emerged as…

Physics and Society · Physics 2008-12-02 Kan Chen , C. Jayaprakash , Baosheng Yuan