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Ranking data are frequently obtained nowadays but there are still scarce methods for treating these data when temporally observed. The present paper contributes to this topic by proposing and developing novel models for handling time series…

统计方法学 · 统计学 2025-02-10 Luiza Piancastelli , Wagner Barreto-Souza

We attempt to unveil the fine structure of volatility feedback effects in the context of general quadratic autoregressive (QARCH) models, which assume that today's volatility can be expressed as a general quadratic form of the past daily…

统计金融 · 定量金融 2014-05-28 Rémy Chicheportiche , Jean-Philippe Bouchaud

Stochastic variational inference algorithms are derived for fitting various heteroskedastic time series models. We examine Gaussian, t, and skew-t response GARCH models and fit these using Gaussian variational approximating densities. We…

统计计算 · 统计学 2023-08-30 Hanwen Xuan , Luca Maestrini , Feng Chen , Clara Grazian

We investigate the volatility return intervals in the NYSE and FOREX markets. We explain previous empirical findings using a model based on the interacting agent hypothesis instead of the widely-used efficient market hypothesis. We derive…

综合金融 · 定量金融 2016-10-26 Vygintas Gontis , Shlomo Havlin , Aleksejus Kononovicius , Boris Podobnik , H. Eugene Stanley

This paper introduces an extension of the Markov switching GARCH model where the volatility in each state is a convex combination of two different GARCH components with time varying weights. This model has the dynamic behavior to capture…

统计方法学 · 统计学 2014-02-20 N. Alemohammad , S. Rezakhah , S. H. Alizadeh

In this paper, we show that the recent integration of statistical models with deep recurrent neural networks provides a new way of formulating volatility (the degree of variation of time series) models that have been widely used in time…

机器学习 · 计算机科学 2018-12-06 Rui Luo , Weinan Zhang , Xiaojun Xu , Jun Wang

This paper introduces a unique and valuable research design aimed at analyzing Bitcoin price volatility. To achieve this, a range of models from the Markov Switching-GARCH and Stochastic Autoregressive Volatility (SARV) model classes are…

统计金融 · 定量金融 2024-01-12 Dennis Koch , Vahidin Jeleskovic , Zahid I. Younas

Recently, to account for low-frequency market dynamics, several volatility models, employing high-frequency financial data, have been developed. However, in financial markets, we often observe that financial volatility processes depend on…

应用统计 · 统计学 2021-03-01 Dohyun Chun , Donggyu Kim

Multifractal processes are a relatively new tool of stock market analysis. Their power lies in the ability to take multiple orders of autocorrelations into account explicitly. In the first part of the paper we discuss the framework of the…

其他凝聚态物理 · 物理学 2008-12-02 Zoltan Eisler , Janos Kertesz

HYGARCH model is basically used to model long-range dependence in volatility. We propose Markov switch smooth-transition HYGARCH model, where the volatility in each state is a time-dependent convex combination of GARCH and FIGARCH. This…

统计理论 · 数学 2018-03-05 Ferdous Mohammadi Basatini , Saeid Rezakhah

This paper discusses and analyzes a class of likelihood models which are based on two distributional innovations in financial models for stock returns. That is, the notion that the marginal distribution of aggregate returns of log-stock…

统计理论 · 数学 2007-06-13 Lancelot F. James , John W. Lau

This paper presents a comparative analysis of univariate and multivariate GARCH-family models and machine learning algorithms in modeling and forecasting the volatility of major energy commodities: crude oil, gasoline, heating oil, and…

计量经济学 · 经济学 2024-05-31 Seulki Chung

This paper proposes an enhanced approach to modeling and forecasting volatility using high frequency data. Using a forecasting model based on Realized GARCH with multiple time-frequency decomposed realized volatility measures, we study the…

统计金融 · 定量金融 2015-02-04 Jozef Barunik , Tomas Krehlik , Lukas Vacha

The fundamental theorem behind financial markets is that stock prices are intrinsically complex and stochastic. One of the complexities is the volatility associated with stock prices. Volatility is a tendency for prices to change…

统计金融 · 定量金融 2023-11-21 Leonard Mushunje , Maxwell Mashasha , Edina Chandiwana

We study the behavior of a real-valued and unobservable process (Y_t) under an extreme event of a related process (X_t) that is observable. Our analysis is motivated by the well-known GARCH model which represents two such sequences, i.e.…

概率论 · 数学 2013-05-16 Andree Ehlert , Ulf-Rainer Fiebig , Anja Janßen , Martin Schlather

It is commonly believed that the correlations between stock returns increase in high volatility periods. We investigate how much of these correlations can be explained within a simple non-Gaussian one-factor description with time…

无序系统与神经网络 · 物理学 2008-12-02 Pierre Cizeau , Marc Potters , Jean-Philippe Bouchaud

This paper proposes a novel hybrid model, termed GARCH-FIS, for recursive rolling multi-step forecasting of financial time series. It integrates a Fuzzy Inference System (FIS) with a Generalized Autoregressive Conditional Heteroskedasticity…

机器学习 · 计算机科学 2026-03-17 Wen-Jing Li , Da-Qing Zhang

This study presents contemporaneous modeling of asset return and price range within the framework of stochastic volatility with leverage. A new representation of the probability density function for the price range is provided, and its…

统计计算 · 统计学 2021-10-28 Yuta Kurose

We introduce a generalisation of the well-known ARCH process, widely used for generating uncorrelated stochastic time series with long-term non-Gaussian distributions and long-lasting correlations in the (instantaneous) standard deviation…

统计金融 · 定量金融 2011-04-12 Silvio M. Duarte Queiros , Evaldo M. F. Curado , Fernando D. Nobre

We develop a theoretical trading conditioning model subject to price volatility and return information in terms of market psychological behavior, based on analytical transaction volume-price probability wave distributions in which we use…

交易与市场微观结构 · 定量金融 2010-02-09 Leilei Shi , Yiwen Wang , Ding Chen , Liyan Han , Yan Piao , Chengling Gou