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Spatial heteroskedasticity refers to stochastically changing variances and covariances in space. Such features have been observed in, for example, air pollution and vegetation data. We study how volatility modulated moving averages can…

Methodology · Statistics 2019-05-20 Michele Nguyen , Almut E. D. Veraart

Various spatiotemporal and network GARCH models have recently been proposed to capture volatility interactions, such as the transmission of market risk across financial networks. These approaches rely heavily on the specification of the…

Applications · Statistics 2026-03-03 Ariane N. Meli Chrisko , Jessie Li , Philipp Otto , Wolfgang Schmid

In this paper we consider several continuous-time multivariate non-Gaussian models applied to finance and proposed in the literature in the last years. We study the models focusing on the parsimony of the number of parameters, the…

Statistical Finance · Quantitative Finance 2020-05-14 Michele Leonardo Bianchi , Asmerilda Hitaj , Gian Luca Tassinari

We introduce and analyze a variant of multivariate singular spectrum analysis (mSSA), a popular time series method to impute and forecast a multivariate time series. Under a spatio-temporal factor model we introduce, given $N$ time series…

Machine Learning · Computer Science 2022-06-22 Anish Agarwal , Abdullah Alomar , Devavrat Shah

We introduce a class of randomly time-changed fast mean-reverting stochastic volatility models and, using spectral theory and singular perturbation techniques, we derive an approximation for the prices of European options in this setting.…

Pricing of Securities · Quantitative Finance 2012-05-15 Matthew Lorig

In this paper we propose a bivariate generalization of a weighted indexed semi-Markov chains to study the high frequency price dynamics of traded stocks. We assume that financial returns are described by a weighted indexed semi-Markov chain…

Statistical Finance · Quantitative Finance 2013-05-03 Guglielmo D'Amico , Filippo Petroni

We examine how the most prevalent stochastic properties of key financial time series have been affected during the recent financial crises. In particular we focus on changes associated with the remarkable economic events of the last two…

General Finance · Quantitative Finance 2014-03-28 Menelaos Karanasos , Alexandros Paraskevopoulos , Faek Menla Ali , Michail Karoglou , Stavroula Yfanti

Irregular sampling occurs in many time series modeling applications where it presents a significant challenge to standard deep learning models. This work is motivated by the analysis of physiological time series data in electronic health…

Machine Learning · Computer Science 2021-06-08 Satya Narayan Shukla , Benjamin M. Marlin

Stock market indices are volatile by nature, and sudden shocks are known to affect volatility patterns. The autoregressive conditional heteroskedasticity (ARCH) and generalized ARCH (GARCH) models neglect structural breaks triggered by…

Methodology · Statistics 2023-10-05 Tzung Hsuen Khoo , Dharini Pathmanathan , Philipp Otto , Sophie Dabo-Niang

We propose a simple stochastic volatility model which is analytically tractable, very easy to simulate and which captures some relevant stylized facts of financial assets, including scaling properties. In particular, the model displays a…

Statistical Finance · Quantitative Finance 2012-04-20 Alessandro Andreoli , Francesco Caravenna , Paolo Dai Pra , Gustavo Posta

The Stochastic Volatility (SV) model and its variants are widely used in the financial sector while recurrent neural network (RNN) models are successfully used in many large-scale industrial applications of Deep Learning. Our article…

Econometrics · Economics 2022-01-25 Trong-Nghia Nguyen , Minh-Ngoc Tran , David Gunawan , R. Kohn

In this paper, non-linear time series models are used to describe volatility in financial time series data. To describe volatility, two of the non-linear time series are combined into form TAR (Threshold Auto-Regressive Model) with AARCH…

Statistical Finance · Quantitative Finance 2014-07-04 Kim Song Yon , Kim Mun Chol

Text and time series data offer complementary views of financial markets: news articles provide narrative context about company events, while stock prices reflect how markets react to those events. However, despite their complementary…

Computational Engineering, Finance, and Science · Computer Science 2025-09-25 Ross Koval , Nicholas Andrews , Xifeng Yan

Health conditions among patients in intensive care units (ICUs) are monitored via electronic health records (EHRs), composed of numerical time series and lengthy clinical note sequences, both taken at irregular time intervals. Dealing with…

Machine Learning · Computer Science 2023-06-07 Xinlu Zhang , Shiyang Li , Zhiyu Chen , Xifeng Yan , Linda Petzold

A regularized vector autoregressive hidden semi-Markov model is developed to analyze multivariate financial time series with switching data generating regimes. Furthermore, an augmented EM algorithm is proposed for parameter estimation by…

Applications · Statistics 2021-05-19 Zekun Xu , Ye Liu

This paper proposes a multiplicative component intraday volatility model. The intraday conditional volatility is expressed as the product of intraday periodic component, intraday stochastic volatility component and daily conditional…

Econometrics · Economics 2021-11-04 Xiufeng Yan

Recent developments in financial time series focus on modeling volatility across multiple assets or indices in a multivariate framework, accounting for potential interactions such as spillover effects. Furthermore, the increasing…

Applications · Statistics 2026-01-26 Edoardo Otranto , Luca Scaffidi Domianello

Irregularly sampled time series (ISTS) data has irregular temporal intervals between observations and different sampling rates between sequences. ISTS commonly appears in healthcare, economics, and geoscience. Especially in the medical…

Machine Learning · Computer Science 2020-10-27 Chenxi Sun , Shenda Hong , Moxian Song , Hongyan Li

We propose a new framework for modeling stochastic local volatility, with potential applications to modeling derivatives on interest rates, commodities, credit, equity, FX etc., as well as hybrid derivatives. Our model extends the…

Pricing of Securities · Quantitative Finance 2013-03-29 Igor Halperin , Andrey Itkin

Monitoring downside risk and upside risk to the key macroeconomic indicators is critical for effective policymaking aimed at maintaining economic stability. In this paper I propose a parametric framework for modelling and forecasting…

Econometrics · Economics 2023-11-21 Andrea Renzetti