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It is now widely accepted that volatility models have to incorporate the so-called leverage effect in order to to model the dynamics of daily financial returns.We suggest a new class of multivariate power transformed asymmetric models. It…

统计理论 · 数学 2019-10-17 Yacouba Boubacar Maïnassara , Othman Kadmiri , Bruno Saussereau

Graphs are an intuitive way to represent relationships between variables in fields such as finance and neuroscience. However, these graphs often need to be inferred from data. In this paper, we propose a novel framework to infer a latent…

统计方法学 · 统计学 2024-10-25 Jedidiah Harwood , Debashis Paul , Jie Peng

The study addresses a significant gap in the literature by introducing the Softplus negative binomial Integer-valued Generalized Autoregressive Conditional Heteroskedasticity (sp NB- INGARCH) model and establishing its stationarity…

统计方法学 · 统计学 2025-01-22 Divya Kuttenchalil Andrews , N. Balakrishna

Graph attention networks (GATs) provide one of the best frameworks for learning node representations in relational data; but, existing variants such as Graph Attention Network (GAT) mainly operate on static graphs and rely on implicit…

机器学习 · 计算机科学 2026-04-14 Ami Chopra , Supriya Bordoloi , Shyamanta M. Hazarika

We consider a setting where multiple entities inter-act with each other over time and the time-varying statuses of the entities are represented as multiple correlated time series. For example, speed sensors are deployed in different…

机器学习 · 计算机科学 2021-03-23 Razvan-Gabriel Cirstea , Chenjuan Guo , Bin Yang

We investigate a solution for the problems related to the application of multivariate GARCH models to markets with a large number of stocks by restricting the form of the conditional covariance matrix. The model is a factor model and uses…

综合金融 · 定量金融 2021-12-03 Matthias Raddant , Friedrich Wagner

Representation learning over graph structure data has been widely studied due to its wide application prospects. However, previous methods mainly focus on static graphs while many real-world graphs evolve over time. Modeling such evolution…

机器学习 · 统计学 2020-09-02 Tijin Yan , Hongwei Zhang , Zirui Li , Yuanqing Xia

In an asset return series there is a conditional asymmetric dependence between current return and past volatility depending on the current return's sign. To take into account the conditional asymmetry, we introduce new models for asset…

统计金融 · 定量金融 2013-11-21 Geon Ho Choe , Kyungsub Lee

Integer-valued time series exist widely in economics, finance, biology, computer science, medicine, insurance, and many other fields. In recent years, many types of models have been proposed to model integer-valued time series data, in…

统计理论 · 数学 2023-11-21 Ying Wang , Shuang Chen , Lianyong Qian

HYGARCH process is the commonly used long memory process in modeling the long-rang dependence in volatility. Financial time series are characterized by transition between phases of different volatility levels. The smooth transition HYGARCH…

统计计算 · 统计学 2017-01-24 Ferdous Mohammadi , Saeid Rezakhah

Generative models (GMs) such as Generative Adversary Network (GAN) and Variational Auto-Encoder (VAE) have thrived these years and achieved high quality results in generating new samples. Especially in Computer Vision, GMs have been used in…

机器学习 · 计算机科学 2018-04-27 Honggang Zhou , Yunchun Li , Hailong Yang , Wei Li , Jie Jia

The volatility of financial instruments is rarely constant, and usually varies over time. This creates a phenomenon called volatility clustering, where large price movements on one day are followed by similarly large movements on successive…

统计金融 · 定量金融 2015-05-08 Gordon J. Ross

The $GARCH$ algorithm is the most renowned generalisation of Engle's original proposal for modelising {\it returns}, the $ARCH$ process. Both cases are characterised by presenting a time dependent and correlated variance or {\it…

统计力学 · 物理学 2009-11-11 Silvio M. Duarte Queiros , Constantino Tsallis

We propose a new class of models specifically tailored for spatio-temporal data analysis. To this end, we generalize the spatial autoregressive model with autoregressive and heteroskedastic disturbances, i.e. SARAR(1,1), by exploiting the…

统计方法学 · 统计学 2023-01-12 Leopoldo Catania , Anna Gloria Billé

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…

统计方法学 · 统计学 2021-08-05 Donggyu Kim , Minseog Oh , Yazhen Wang

Multivariate time series is prevalent in many scientific and industrial domains. Modeling multivariate signals is challenging due to their long-range temporal dependencies and intricate interactions--both direct and indirect. To confront…

机器学习 · 计算机科学 2023-12-01 Juhyeon Kim , Hyungeun Lee , Seungwon Yu , Ung Hwang , Wooyul Jung , Miseon Park , Kijung Yoon

Conditions for geometric ergodicity of multivariate autoregressive conditional heteroskedasticity (ARCH) processes, with the so-called BEKK (Baba, Engle, Kraft, and Kroner) parametrization, are considered. We show for a class of BEKK-ARCH…

统计理论 · 数学 2017-12-06 Rasmus Pedersen , Olivier Wintenberger

We develop misspecification tests for building additive time-varying (ATV-)GARCH models. In the model, the volatility equation of the GARCH model is augmented by a deterministic time-varying intercept modeled as a linear combination of…

计量经济学 · 经济学 2025-07-01 Niklas Ahlgren , Alexander Back , Timo Teräsvirta

The Value-at-Risk (VaR) is a widely used instrument in financial risk management. The question of estimating the VaR of loss return distributions at extreme levels is an important question in financial applications, both from operational…

应用统计 · 统计学 2021-04-21 Hibiki Kaibuchi , Yoshinori Kawasaki , Gilles Stupfler

We introduce a novel Dynamic Graph Neural Network (DGNN) architecture for solving conditional $m$-steps ahead forecasting problems in temporal financial networks. The proposed DGNN is validated on simulated data from a temporal financial…

风险管理 · 定量金融 2024-10-31 Matteo Citterio , Marco D'Errico , Gabriele Visentin