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We analyze the spectral properties of correlation matrices between distinct statistical systems. Such matrices are intrinsically non symmetric, and lend themselves to extend the spectral analyses usually performed on standard Pearson…

统计金融 · 定量金融 2012-06-29 Giacomo Livan , Luca Rebecchi

High-frequency trading (HFT) represents a pivotal and intensely competitive domain within the financial markets. The velocity and accuracy of data processing exert a direct influence on profitability, underscoring the significance of this…

机器学习 · 计算机科学 2024-12-03 Yuxin Fan , Zhuohuan Hu , Lei Fu , Yu Cheng , Liyang Wang , Yuxiang Wang

For the pedestrian observer, financial markets look completely random with erratic and uncontrollable behavior. To a large extend, this is correct. At first approximation the difference between real price changes and the random walk model…

统计金融 · 定量金融 2011-08-22 Laurent Schoeffel

We explore heterogeneous prices as a source of heterogeneous or stochastic demand. Heterogeneous prices could arise either because there is actual price variation among consumers or because consumers (mis)perceive prices differently. Our…

理论经济学 · 经济学 2026-05-26 John K. -H. Quah , Gerelt Tserenjigmid

A new model for the stock market price analysis is proposed. It is suggested to look at price as an everywhere discontinuous function of time of bounded variation.

综合金融 · 定量金融 2011-02-16 Aleksey Kharevsky

This paper builds a model of high-frequency equity returns by separately modeling the dynamics of trade-time returns and trade arrivals. Our main contributions are threefold. First, we characterize the distributional behavior of…

交易与市场微观结构 · 定量金融 2014-09-02 Eric M. Aldrich , Indra Heckenbach , Gregory Laughlin

In high-frequency financial data not only returns, but also waiting times between consecutive trades are random variables. Therefore, it is possible to apply continuous-time random walks (CTRWs) as phenomenological models of the…

In this article we look at stochastic processes with uncertain parameters, and consider different ways in which information is obtained when carrying out observations. For example we focus on the case of a the random evolution of a traded…

数理金融 · 定量金融 2024-07-08 Will Hicks

We present cross and time series analysis of price fluctuations in the U.S. Treasury fixed income market. By means of techniques borrowed from statistical physics we show that the correlation among bonds depends strongly on the maturity and…

统计力学 · 物理学 2008-12-10 M. Bernaschi , L. Grilli , L. Marangio , S. Succi , D. Vergni

High-frequency trading (HFT) accounts for almost half of equity trading volume, yet it is not identified in public data. We develop novel data-driven measures of HFT activity that separate strategies that supply and demand liquidity. We…

计算金融 · 定量金融 2025-03-24 G. Ibikunle , B. Moews , D. Muravyev , K. Rzayev

Long memory and volatility clustering are two stylized facts frequently related to financial markets. Traditionally, these phenomena have been studied based on conditionally heteroscedastic models like ARCH, GARCH, IGARCH and FIGARCH, inter…

统计金融 · 定量金融 2009-11-13 Sonia R. Bentes , Rui Menezes , Diana A. Mendes

This manuscript reports a stochastic dynamical scenario whose associated stationary probability density function is exactly a previously proposed one to adjust high-frequency traded volume distributions. This dynamical conjecture,…

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

Permutation approach is suggested as a method to investigate financial time series in micro scales. The method is used to see how high frequency trading in recent years has affected the micro patterns which may be seen in financial time…

统计金融 · 定量金融 2014-08-06 Cina Aghamohammadi , Mehran Ebrahimian , Hamed Tahmooresi

This paper assumes that the randomness of market trade values and volumes determines the properties of stochastic market prices. We derive the direct dependence of the first two price statistical moments and price volatility on statistical…

综合经济学 · 经济学 2024-02-27 Victor Olkhov

Markets efficiency implies that the stock returns are intrinsically unpredictable, a property that makes markets comparable to random number generators. We present a novel methodology to investigate ultra-high frequency financial data and…

统计金融 · 定量金融 2025-11-24 Silvia Onofri , Andrey Shternshis , Stefano Marmi

Through in-depth analysis of ultra high frequency (UHF) stock price change data, more reasonable discrete dynamic distribution models are constructed in this paper. Firstly, we classify the price changes into several categories. Then,…

计算金融 · 定量金融 2021-07-02 Wei Dai , Yuan An , Wen Long

We analyse the dependence of stock return cross-correlations on the sampling frequency of the data known as the Epps effect: For high resolution data the cross-correlations are significantly smaller than their asymptotic value as observed…

统计金融 · 定量金融 2009-10-26 Bence Toth , Janos Kertesz

Performance forecasting is an age-old problem in economics and finance. Recently, developments in machine learning and neural networks have given rise to non-linear time series models that provide modern and promising alternatives to…

统计金融 · 定量金融 2022-01-21 Carmina Fjellström

Technical trading represents a class of investment strategies for Financial Markets based on the analysis of trends and recurrent patterns of price time series. According standard economical theories these strategies should not be used…

统计金融 · 定量金融 2011-10-25 Federico Garzarelli , Matthieu Cristelli , Andrea Zaccaria , Luciano Pietronero

Based on the tick-by-tick stock prices from the German and American stock markets, we study the statistical properties of the distribution of the individual stocks and the index returns in highly collective and noisy intervals of trading,…

软凝聚态物质 · 物理学 2015-06-24 J. Kwapien , S. Drozdz , J. Speth