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Estimating conditional quantiles of financial time series is essential for risk management and many other applications in finance. It is well-known that financial time series display conditional heteroscedasticity. Among the large number of…

Methodology · Statistics 2016-10-25 Yao Zheng , Qianqian Zhu , Guodong Li , Zhijie Xiao

This paper considers quantile regression for a wide class of time series models including ARMA models with asymmetric GARCH (AGARCH) errors. The classical mean-variance models are reinterpreted as conditional location-scale models so that…

Methodology · Statistics 2015-03-03 Jungsik Noh , Sangyeol Lee

Many financial time series have varying structures at different quantile levels, and also exhibit the phenomenon of conditional heteroscedasticity at the same time. In the meanwhile, it is still lack of a time series model to accommodate…

Statistics Theory · Mathematics 2020-12-29 Qianqian Zhu , Guodong Li

Matrix-variate time series data are largely available in applications. However, no attempt has been made to study their conditional heteroskedasticity that is often observed in economic and financial data. To address this gap, we propose a…

Methodology · Statistics 2023-06-09 Cheng Yu , Dong Li , Feiyu Jiang , Ke Zhu

This paper introduces a novel quantile approach to harness the high-frequency information and improve the daily conditional quantile estimation. Specifically, we model the conditional standard deviation as a realized GARCH model and employ…

Methodology · Statistics 2021-08-05 Donggyu Kim , Minseog Oh , Yazhen Wang

We propose Neural GARCH, a class of methods to model conditional heteroskedasticity in financial time series. Neural GARCH is a neural network adaptation of the GARCH 1,1 model in the univariate case, and the diagonal BEKK 1,1 model in the…

Machine Learning · Computer Science 2022-02-24 Zexuan Yin , Paolo Barucca

Asymmetric power GARCH models have been widely used to study the higher order moments of financial returns, while their quantile estimation has been rarely investigated. This paper introduces a simple monotonic transformation on its…

Econometrics · Economics 2019-11-22 Guochang Wang , Ke Zhu , Guodong Li , Wai Keung Li

This paper considers a semiparametric generalized autoregressive conditional heteroskedasticity (S-GARCH) model. For this model, we first estimate the time-varying long run component for unconditional variance by the kernel estimator, and…

Methodology · Statistics 2020-10-05 Feiyu Jiang , Dong Li , Ke Zhu

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…

Statistics Theory · Mathematics 2020-10-20 Philipp Otto , Wolfgang Schmid , Robert Garthoff

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…

Methodology · Statistics 2023-10-24 Philipp Otto , Wolfgang Schmid

Count time series data are frequently analyzed by modeling their conditional means and the conditional variance is often considered to be a deterministic function of the corresponding conditional mean and is not typically modeled…

Methodology · Statistics 2024-04-30 Tianqing Liu , Xiaohui Yuan

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…

Methodology · Statistics 2018-07-24 Balázs Csanád Csáji

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…

Methodology · Statistics 2009-03-27 P. Čížek , W. Härdle , V. Spokoiny

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…

Methodology · Statistics 2022-04-27 Philipp Otto

Quantile regression (QR) is a principal regression method for analyzing the impact of covariates on outcomes. The impact is described by the conditional quantile function and its functionals. In this paper we develop the nonparametric…

This article proposes a novel Bayesian multivariate quantile regression to forecast the tail behavior of energy commodities, where the homoskedasticity assumption is relaxed to allow for time-varying volatility. In particular, we exploit…

Econometrics · Economics 2024-08-08 Matteo Iacopini , Francesco Ravazzolo , Luca Rossini

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…

Methodology · Statistics 2015-12-18 Alexander Aue , Lajos Horvath , Daniel Pellatt

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…

Methodology · Statistics 2020-10-20 Philipp Otto , Wolfgang Schmid

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…

Methodology · Statistics 2026-03-19 Alexander Aue , Sebastian Kühnert , Gregory Rice , Jeremy VanderDoes

We propose a multivariate GARCH model for non-stationary health time series by modifying the variance of the observations of the standard state space model. The proposed model provides an intuitive way of dealing with heteroskedastic data…

Methodology · Statistics 2023-03-16 Zayd Omar , David A. Stephens , Alexandra M. Schmidt , David L. Buckeridge
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