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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…

证券定价 · 定量金融 2013-03-29 Igor Halperin , Andrey Itkin

The HGARCH model allows long-memory impact in volatilities. A new HGARCH model with time-varying amplitude is considered in this paper. We show the stability of the model as well. A score test is introduced to check the time-varying…

统计理论 · 数学 2018-03-21 Ferdous Mohammadi Basatini , Saeid Rezakhah

Using a proper model to characterize a time series is crucial in making accurate predictions. In this work we use time-varying autoregressive process (TVAR) to describe non-stationary time series and model it as a mixture of multiple stable…

机器学习 · 统计学 2016-11-17 Jie Ding , Mohammad Noshad , Vahid Tarokh

We construct liquidity-adjusted return and volatility using purposely designed liquidity metrics (liquidity jump and liquidity diffusion) that incorporate additional liquidity information. Based on these measures, we introduce a…

统计金融 · 定量金融 2025-03-13 Qi Deng , Zhong-guo Zhou

We propose a novel strategy for multivariate extreme value index estimation. In applications such as finance, volatility and risk present in the components of a multivariate time series are often driven by the same underlying factors, such…

统计理论 · 数学 2020-03-24 Joni Virta , Niko Lietzén , Lauri Viitasaari , Pauliina Ilmonen

This paper proposes a semiparametric stochastic volatility (SV) model that relaxes the restrictive Gaussian assumption in both the return and volatility error terms, allowing them to follow flexible, nonparametric distributions with…

统计计算 · 统计学 2025-06-03 Yudong Feng , Ashis Gangopadhyay

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…

统计方法学 · 统计学 2016-10-25 Yao Zheng , Qianqian Zhu , Guodong Li , Zhijie Xiao

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

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

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

Estimating covariances between financial assets plays an important role in risk management. In practice, when the sample size is small compared to the number of variables, the empirical estimate is known to be very unstable. Here, we…

计算工程、金融与科学 · 计算机科学 2019-04-19 Rajbir-Singh Nirwan , Nils Bertschinger

Financial time series exhibit two different type of non linear correlations: (i) volatility autocorrelations that have a very long range memory, on the order of years, and (ii) asymmetric return-volatility (or `leverage') correlations that…

统计力学 · 物理学 2008-12-02 Josep Perello , Jaume Masoliver , Jean-Philippe Bouchaud

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

This survey reviews the existing literature on the most relevant Bayesian inference methods for univariate and multivariate GARCH models. The advantages and drawbacks of each procedure are outlined as well as the advantages of the Bayesian…

统计理论 · 数学 2014-02-04 Audronė Virbickaitė , M. Concepción Ausín , Pedro Galeano

We suggest two classes of multivariate GARCH--models which are both easy to estimate and perform well in forecasting the covariance matrix of more than one hundred stocks. We apply methods from random matrix theory (RMT) to determine the…

凝聚态物理 · 物理学 2007-05-23 C. Reese , B. Rosenow

Volatility asymmetry is a hot topic in high-frequency financial market. In this paper, we propose a new econometric model, which could describe volatility asymmetry based on high-frequency historical data and low-frequency historical data.…

统计方法学 · 统计学 2021-01-15 Huiling Yuan , Yong Zhou , Lu Xu , Yun Lei Sun , Xiang Yu Cui

A non-Bayesian, regression-based or generalized least squares (GLS)-based approach is formally proposed to estimate a class of time-varying AR parameter models. This approach has partly been used by Ito et al. (2014, 2016a,b), and is proven…

统计方法学 · 统计学 2017-12-22 Mikio Ito , Akihiko Noda , Tatsuma Wada

We propose a novel method to quantify the clustering behavior in a complex time series and apply it to a high-frequency data of the financial markets. We find that regardless of used data sets, all data exhibits the volatility clustering…

统计金融 · 定量金融 2008-12-02 Gabjin Oh , Seunghwan Kim , Cheoljun Eom , Taehyuk Kim

In this chapter, we consider volatility swap, variance swap and VIX future pricing under different stochastic volatility models and jump diffusion models which are commonly used in financial market. We use convexity correction approximation…

数理金融 · 定量金融 2017-12-08 Anatoliy Swishchuk , Zijia Wang

We consider the estimation of the transition matrix in the high-dimensional time-varying vector autoregression (TV-VAR) models. Our model builds on a general class of locally stationary VAR processes that evolve smoothly in time. We propose…

统计理论 · 数学 2017-10-03 Xin Ding , Ziyi Qiu , Xiaohui Chen