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相关论文: Dynamic Spatiotemporal ARCH Models

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This paper explores the estimation of a dynamic spatiotemporal autoregressive conditional heteroscedasticity (ARCH) model. The log-volatility term in this model can depend on (i) the spatial lag of the log-squared outcome variable, (ii) the…

统计方法学 · 统计学 2023-12-12 Philipp Otto , Osman Doğan , Süleyman Taşpınar

This paper introduces a multivariate spatiotemporal autoregressive conditional heteroscedasticity (ARCH) model based on a vec-representation. The model includes instantaneous spatial autoregressive spill-over effects in the conditional…

统计方法学 · 统计学 2022-04-27 Philipp Otto

In time-series analyses, particularly for finance, generalized autoregressive conditional heteroscedasticity (GARCH) models are widely applied statistical tools for modelling volatility clusters (i.e., periods of increased or decreased…

统计方法学 · 统计学 2023-10-24 Philipp Otto , Wolfgang Schmid

In time-series analyses, particularly for finance, generalized autoregressive conditional heteroscedasticity (GARCH) models are widely applied statistical tools for modelling volatility clusters (i.e., periods of increased or decreased…

统计方法学 · 统计学 2020-10-20 Philipp Otto , Wolfgang Schmid

In this paper, we introduce a new spatial model that incorporates heteroscedastic variance depending on neighboring locations. The proposed process is regarded as the spatial equivalent to the temporal autoregressive conditional…

统计理论 · 数学 2020-10-20 Philipp Otto , Wolfgang Schmid , Robert Garthoff

We introduce a dynamic spatiotemporal volatility model that extends traditional approaches by incorporating spatial, temporal, and spatiotemporal spillover effects, along with volatility-specific observed and latent factors. The model…

统计方法学 · 统计学 2024-10-23 Osman Doğan , Raffaele Mattera , Philipp Otto , Süleyman Taşpınar

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…

应用统计 · 统计学 2023-03-21 Raffaele Mattera , Philipp Otto

We introduce a heterogeneous spatiotemporal GARCH model for geostatistical data or processes on networks, e.g., for modelling and predicting financial return volatility across firms in a latent spatial framework. The model combines…

统计金融 · 定量金融 2025-08-29 Atika Aouri , Philipp Otto

This paper introduces a spatiotemporal exponential generalised autoregressive conditional heteroscedasticity (spatiotemporal E-GARCH) model, extending traditional spatiotemporal GARCH models by incorporating asymmetric volatility…

应用统计 · 统计学 2025-11-10 Ariane Nidelle Meli Chrisko , Philipp Otto , Wolfgang Schmid

This paper offers a new method for estimation and forecasting of the volatility of financial time series when the stationarity assumption is violated. Our general local parametric approach particularly applies to general varying-coefficient…

统计方法学 · 统计学 2009-03-27 P. Čížek , W. Härdle , V. Spokoiny

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…

统计方法学 · 统计学 2023-10-05 Tzung Hsuen Khoo , Dharini Pathmanathan , Philipp Otto , Sophie Dabo-Niang

Heteroskedasticity is a common feature of financial time series and is commonly addressed in the model building process through the use of ARCH and GARCH processes. More recently multivariate variants of these processes have been in the…

统计方法学 · 统计学 2015-12-18 Alexander Aue , Lajos Horvath , Daniel Pellatt

Traditional spatio-temporal models for areal data typically begin with spatial structure imposed at the level of random effects and later extend to include temporal dynamics. We propose an alternative hierarchical modeling framework that…

AutoRegressive Conditional Heteroscedasticity (ARCH) models are standard for modeling time series exhibiting volatility, with a rich literature in univariate and multivariate settings. In recent years, these models have been extended to…

统计方法学 · 统计学 2026-03-19 Alexander Aue , Sebastian Kühnert , Gregory Rice , Jeremy VanderDoes

Conditional heteroscedastic (CH) models are routinely used to analyze financial datasets. The classical models such as ARCH-GARCH with time-invariant coefficients are often inadequate to describe frequent changes over time due to market…

统计理论 · 数学 2021-03-09 Sayar Karmakar , Arkaprava Roy

A standard model of (conditional) heteroscedasticity, i.e., the phenomenon that the variance of a process changes over time, is the Generalized AutoRegressive Conditional Heteroskedasticity (GARCH) model, which is especially important for…

统计方法学 · 统计学 2018-07-24 Balázs Csanád Csáji

This paper presents an innovative extension of spatial autoregressive (SAR) models, introducing spatial coefficients specific to each spatial region that evolve over time. The proposed estimation methodology covers both homoscedastic and…

统计方法学 · 统计学 2025-02-24 N. A. Cruz , D. A. Romero , O. O. Melo

In this paper, we consider subgeometric (specifically, polynomial) ergodicity of univariate nonlinear autoregressions with autoregressive conditional heteroskedasticity (ARCH). The notion of subgeometric ergodicity was introduced in the…

计量经济学 · 经济学 2025-01-15 Mika Meitz , Pentti Saikkonen

Shrinkage algorithms are of great importance in almost every area of statistics due to the increasing impact of big data. Especially time series analysis benefits from efficient and rapid estimation techniques such as the lasso. However,…

统计方法学 · 统计学 2016-06-01 Florian Ziel

Compositional data, such as regional shares of economic sectors or property transactions, are central to understanding structural change in economic systems across space and time. This paper introduces a spatiotemporal multivariate…

应用统计 · 统计学 2026-03-16 Matthias Eckardt , Philipp Otto
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