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We propose a model of fractal point process driven by the nonlinear stochastic differential equation. The model is adjusted to the empirical data of trading activity in financial markets. This reproduces the probability distribution…

物理与社会 · 物理学 2009-11-13 V. Gontis , B. Kaulakys

Financial networks are typically estimated by applying standard time series analyses to price-based economic variables collected at low-frequency (e.g., daily or monthly stock returns or realized volatility). These networks are used for…

统计金融 · 定量金融 2022-08-09 Kara Karpman , Sumanta Basu , David Easley

We use the statistical properties of Shannon entropy estimator and Kullback-Leibler divergence to study the predictability of ultra-high frequency financial data. We develop a statistical test for the predictability of a sequence based on…

统计金融 · 定量金融 2024-05-20 Andrey Shternshis , Stefano Marmi

We present a simple model of a stock market where a random communication structure between agents gives rise to a heavy tails in the distribution of stock price variations in the form of an exponentially truncated power-law, similar to…

统计力学 · 物理学 2014-01-14 Rama Cont , Jean-Philippe Bouchaud

It is generally accepted that the asset price processes contain jumps. In fact, pure jump models have been widely used to model asset prices and/or stochastic volatilities. The question is: is there any statistical evidence from the…

统计理论 · 数学 2012-06-06 Bing-Yi Jing , Xin-Bing Kong , Zhi Liu

An average instantaneous cross-correlation function is introduced to quantify the interaction of the financial market of a specific time. Based on the daily data of the American and Chinese stock markets, memory effect of the average…

统计金融 · 定量金融 2015-05-18 Tian Qiu , Guang Chen , Li-Xin Zhong , Xiao-Wei Lei

The methodology presented provides a quantitative way to characterize investor behavior and price dynamics within a particular asset class and time period. The methodology is applied to a data set consisting of over 250,000 data points of…

综合金融 · 定量金融 2020-04-22 Gunduz Caginalp , Mark DeSantis

This paper shows that jumps in financial asset prices are often erroneously identified and are, in fact, rare events accounting for a very small proportion of the total price variation. We apply new econometric techniques to a comprehensive…

计量经济学 · 经济学 2026-02-12 Kim Christensen , Roel C. A. Oomen , Mark Podolskij

Dividend discount models have been developed in a deterministic setting. Some authors (Hurley and Johnson, 1994 and 1998; Yao, 1997) have introduced randomness in terms of stochastic growth rates, delivering closed-form expressions for the…

证券定价 · 定量金融 2017-04-24 Arianna Agosto , Alessandra Mainini , Enrico Moretto

Multivariate Distributions are needed to capture the correlation structure of complex systems. In previous works, we developed a Random Matrix Model for such correlated multivariate joint probability density functions that accounts for the…

统计金融 · 定量金融 2025-12-02 Anton J. Heckens , Efstratios Manolakis , Cedric Schuhmann , Thomas Guhr

We study the price dynamics of stocks traded in the NASDAQ market by considering the statistical properties of an ensemble of stocks traded simultaneously. For each trading day of our database, we study the ensemble return distribution by…

统计力学 · 物理学 2009-11-07 Fabrizio Lillo , Rosario N. Mantegna

This study examine the theoretical and empirical perspectives of the symmetric Hawkes model of the price tick structure. Combined with the maximum likelihood estimation, the model provides a proper method of volatility estimation…

统计金融 · 定量金融 2019-08-15 Kyungsub Lee , Byoung Ki Seo

We develop a novel observation-driven model for high-frequency prices. We account for irregularly spaced observations, simultaneous transactions, discreteness of prices, and market microstructure noise. The relation between trade durations…

统计金融 · 定量金融 2024-05-09 Vladimír Holý

Employing a recent technique which allows the representation of nonstationary data by means of a juxtaposition of locally stationary patches of different length, we introduce a comprehensive analysis of the key observables in a financial…

统计金融 · 定量金融 2013-05-03 Sabrina Camargo , Silvio M. Duarte Queiros , Celia Anteneodo

This paper introduces novel volatility diffusion models to account for the stylized facts of high-frequency financial data such as volatility clustering, intra-day U-shape, and leverage effect. For example, the daily integrated volatility…

统计方法学 · 统计学 2022-06-01 Donggyu Kim , Minseok Shin

We analyze the hitting time distributions of stock price returns in different time windows, characterized by different levels of noise present in the market. The study has been performed on two sets of data from US markets. The first one is…

物理与社会 · 物理学 2009-11-13 Davide Valenti , Bernardo Spagnolo , Giovanni Bonanno

We propose a simple stochastic model of market behavior. Dividing market participants into two groups: trend-followers and fundamentalists, we derive the general form of a stochastic equation of market dynamics. The model has two…

统计力学 · 物理学 2008-12-02 Guennadi Saiko

Training a practical and effective model for stock selection has been a greatly concerned problem in the field of artificial intelligence. Even though some of the models from previous works have achieved good performance in the U.S. market…

计算金融 · 定量金融 2019-11-07 Junming Yang , Yaoqi Li , Xuanyu Chen , Jiahang Cao , Kangkang Jiang

Using recent advances in the econometrics literature, we disentangle from high frequency observations on the transaction prices of a large sample of NYSE stocks a fundamental component and a microstructure noise component. We then relate…

应用统计 · 统计学 2009-06-11 Yacine Aït-Sahalia , Jialin Yu

We propose a general interpretation for long-range correlation effects in the activity and volatility of financial markets. This interpretation is based on the fact that the choice between `active' and `inactive' strategies is subordinated…

无序系统与神经网络 · 物理学 2009-11-07 Irene Giardina , Jean-Philippe Bouchaud , Marc Mézard