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This work is devoted to the study of modeling geophysical and financial time series. A class of volatility models with time-varying parameters is presented to forecast the volatility of time series in a stationary environment. The modeling…

We explore a stochastic model that enables capturing external influences in two specific ways. The model allows for the expression of uncertainty in the parametrisation of the stochastic dynamics and incorporates patterns to account for…

Pricing of Securities · Quantitative Finance 2024-04-11 Felix L. Wolf , Griselda Deelstra , Lech A. Grzelak

In this study, we propose a general model capable of addressing heterogeneity in higher-order moments while preserving mean and variance, including the t, Laplace, and skew-normal distributions as special cases. Our model flexibly…

Methodology · Statistics 2025-03-18 Hajime Kuno , Daisuke Murakami

We explore the evolution of daily returns of four major US stock market indices during the technology crash of 2000, and the financial crisis of 2007-2009. Our methodology is based on topological data analysis (TDA). We use persistence…

Mathematical Finance · Quantitative Finance 2017-11-22 Marian Gidea , Yuri Katz

This paper presents a novel dynamic network autoregressive conditional heteroscedasticity (ARCH) model based on spatiotemporal ARCH models to forecast volatility in the US stock market. To improve the forecasting accuracy, the model…

Applications · Statistics 2023-03-21 Raffaele Mattera , Philipp Otto

Recurrent boom-and-bust cycles are a salient feature of economic and financial history. Cycles found in the data are stochastic, often highly persistent, and span substantial fractions of the sample size. We refer to such cycles as "long".…

Econometrics · Economics 2025-03-10 Natasha Kang , Vadim Marmer

Recent studies have actively employed persistent homology (PH), a topological data analysis technique, to analyze the topological information in time series data. Many successful studies have utilized graph representations of time series…

Algebraic Topology · Mathematics 2025-12-15 Eunwoo Heo , Jae-Hun Jung

We explore the international transmission of monetary policy and central bank information shocks originating from the United States and the euro area. Employing a panel vector autoregression, we use macroeconomic and financial variables…

Econometrics · Economics 2025-08-06 Michael Pfarrhofer , Anna Stelzer

This paper introduces a global stock market volatility forecasting model that enhances forecasting accuracy and practical utility in real-world financial decision-making by integrating dynamic graph structures and encompassing all active…

General Finance · Quantitative Finance 2025-09-17 Zhengyang Chi , Junbin Gao , Chao Wang

This paper offers a new approach for estimating and forecasting the volatility of financial time series. No assumption is made about the parametric form of the processes. On the contrary, we only suppose that the volatility can be…

Statistics Theory · Mathematics 2007-06-13 Danilo Mercurio , Vladimir Spokoiny

We present a relatively detailed analysis of the persistence probability distributions in financial dynamics. Compared with the auto-correlation function, the persistence probability distributions describe dynamic correlations non-local in…

Adaptation and Self-Organizing Systems · Physics 2009-11-11 F. Ren , B. Zheng , H. Lin , L. Y. Wen , S. Trimper

This paper develops a new model and estimation procedure for panel data that allows us to identify heterogeneous structural breaks. We model individual heterogeneity using a grouped pattern. For each group, we allow common structural breaks…

Econometrics · Economics 2018-11-27 Ryo Okui , Wendun Wang

The statistical description and modeling of volatility plays a prominent role in econometrics, risk management and finance. GARCH and stochastic volatility models have been extensively studied and are routinely fitted to market data, albeit…

Computational Engineering, Finance, and Science · Computer Science 2018-03-13 Nils Bertschinger , Iurii Mozzhorin , Sitabhra Sinha

We propose a structural vector autoregressive model with a new and flexible specification of the volatility process which we call Sparse Heterogeneous Markov-Switching Heteroskedasticity. In this model, the conditional variance of each…

Econometrics · Economics 2026-03-18 Fei Shang , Tomasz Woźniak

This paper captures irregularities in financial time series data, particularly stock prices, in the presence of COVID-19 shock. We conjectured that jumps and irregularities are embedded in stock data due to the pandemic shock, which brings…

Computational Engineering, Finance, and Science · Computer Science 2023-11-23 Leonard Mushunje , David Allen , Shelton Peiris

Financial markets tend to switch between various market regimes over time, making stationarity-based models unsustainable. We construct a regime-switching model independent of asset classes for risk-adjusted return predictions based on…

Computational Finance · Quantitative Finance 2021-07-13 Nicklas Werge

We exploit a continuous time random walk description of stock prices to obtain a fast and accurate evaluation of their volatility from intraday data. We show that financial markets are usefully described as open physical systems. Indeed we…

Other Condensed Matter · Physics 2008-12-02 Rosario Bartiromo

This paper considers a linear panel model with interactive fixed effects and unobserved individual and time heterogeneities that are captured by some latent group structures and an unknown structural break, respectively. To enhance realism…

Econometrics · Economics 2023-08-01 Yiren Wang , Peter C B Phillips , Liangjun Su

Topological data analysis is an emerging area in exploratory data analysis and data mining. Its main tool, persistent homology, has become a popular technique to study the structure of complex, high-dimensional data. In this paper, we…

Graphics · Computer Science 2017-10-04 Mustafa Hajij , Bei Wang , Carlos Scheidegger , Paul Rosen

We introduce a dynamic distribution regression panel data model with heterogeneous coefficients across units. The objects of primary interest are functionals of these coefficients, including predicted one-step-ahead and stationary…

Econometrics · Economics 2025-07-31 Ivan Fernandez-Val , Wayne Yuan Gao , Yuan Liao , Francis Vella
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