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Most data processing techniques, applied to biomedical and sociological time series, are only valid for random fluctuations that are stationary in time. Unfortunately, these data are often non stationary and the use of techniques of…

数据分析、统计与概率 · 物理学 2009-11-10 M. Ignaccolo , P. Allegrini , P. Grigolini , P. Hamilton , B. J. West

Random walks are used for modeling various dynamics in, for example, physical, biological, and social contexts. Furthermore, their characteristics provide us with useful information on the phase transition and critical phenomena of even…

统计力学 · 物理学 2007-05-23 Naoki Masuda , Norio Konno

This paper aims to explore the mechanical effect of a company's share repurchase on earnings per share (EPS). In particular, while a share repurchase scheme will reduce the overall number of shares, suggesting that the EPS may increase,…

综合金融 · 定量金融 2019-11-12 Lawrence Middleton , James Dodd , Graham Baird

Oil price data have a complicated multi-scale structure that may vary with time. We use time-frequency analysis to identify the main features of these variations and, in particular, the regime shifts. The analysis is based on a…

统计金融 · 定量金融 2019-05-01 Josselin Garnier , Knut Solna

The classic N p chart gives a signal if the number of successes in a sequence of inde- pendent binary variables exceeds a control limit. Motivated by engineering applications in industrial image processing and, to some extent, financial…

统计方法学 · 统计学 2010-01-13 Ansgar Steland , Ewaryst Rafalowicz

Financial empirical correlation matrices of all the companies which both, the Deutsche Aktienindex (DAX) and the Dow Jones comprised during the time period 1990-1999 are studied using a time window of a limited, either 30 or 60, number of…

统计力学 · 物理学 2008-12-02 S. Drozdz , F. Gruemmer , F. Ruf , J. Speth

Researchers have studied the first passage time of financial time series and observed that the smallest time interval needed for a stock index to move a given distance is typically shorter for negative than for positive price movements. The…

统计金融 · 定量金融 2009-03-23 Johannes Vitalis Siven , Jeffrey Todd Lins , Jonas Lundbek Hansen

Zipf's law states that the frequency of an observation with a given value is inversely proportional to the square of that value; Taylor's law, instead, describes the scaling between fluctuations in the size of a population and its mean.…

物理与社会 · 物理学 2018-09-26 Charlotte James , Sandro Azaele , Amos Maritan , Filippo Simini

We study a simple run-and-tumble random walk whose switching frequency from run mode to tumble mode and the reverse depend on a stochastic signal. We consider a particularly sharp, step-like dependence, where the run to tumble switching…

细胞行为 · 定量生物学 2019-01-09 Subrata Dev , Sakuntala Chatterjee

We consider a mean-reverting stochastic volatility model which satisfies some relevant stylized facts of financial markets. We introduce an algorithm for the detection of peaks in the volatility profile, that we apply to the time series of…

统计金融 · 定量金融 2016-12-05 Mario Bonino , Matteo Camelia , Paolo Pigato

Financial time series exhibit a number of interesting properties that are difficult to explain with simple models. These properties include fat-tails in the distribution of price fluctuations (or returns) that are slowly removed at longer…

统计金融 · 定量金融 2013-11-19 Raoul Golan , Austin Gerig

In terms of transfer entropy, we investigated the strength and the direction of information transfer in the US stock market. Through the directionality of the information transfer, the more influential company between the correlated ones…

物理与社会 · 物理学 2008-12-02 Seung Ki Baek , Woo-Sung Jung , Okyu Kwon , Hie-Tae Moon

We build an agent-based model to study how the interplay between low- and high-frequency trading affects asset price dynamics. Our main goal is to investigate whether high-frequency trading exacerbates market volatility and generates flash…

交易与市场微观结构 · 定量金融 2014-02-11 Sandrine Jacob Leal , Mauro Napoletano , Andrea Roventini , Giorgio Fagiolo

The impact of trades on asset prices is a crucial aspect of market dynamics for academics, regulators and practitioners alike. Recently, universal and highly nonlinear master curves were observed for price impacts aggregated on all…

交易与市场微观结构 · 定量金融 2018-01-17 Felix Patzelt , Jean-Philippe Bouchaud

What return should you expect when you take on a given amount of risk? How should that return depend upon other people's behavior? What principles can you use to answer these questions? In this paper, we approach these topics by exploring…

无序系统与神经网络 · 物理学 2008-12-02 Emanuel Derman

This paper continues a series of studies devoted to analysis of the bivariate probability distribution P(x,y) of two consecutive price increments x (push) and y (response) at intraday timescales for a group of stocks. Besides the asymmetry…

物理与社会 · 物理学 2008-12-02 Andrei Leonidov , Vladimir Trainin , Alexander Zaitsev , Sergey Zaitsev

According to the volatility feedback effect, an unexpected increase in squared volatility leads to an immediate decline in the price-dividend ratio. In this paper, we consider the properties of stock price dynamics and option valuations…

证券定价 · 定量金融 2015-06-11 Juho Kanniainen , Robert Piché

We discuss several models in order to shed light on the origin of power-law distributions and power-law correlations in financial time series. From an empirical point of view, the exponents describing the tails of the price increments…

凝聚态物理 · 物理学 2007-05-23 Jean-Philippe Bouchaud

We introduce a new stochastic model for the variations of asset prices at the tick-by-tick level in dimension 1 (for a single asset) and 2 (for a pair of assets). The construction is based on marked point processes and relies on linear self…

交易与市场微观结构 · 定量金融 2015-03-17 E. Bacry , S. Delattre , M. Hoffmann , J. F. Muzy

Synchronising a database of stock specific news with 5 years worth of order book data on 300 stocks, we show that abnormal price movements following news releases (exogenous) exhibit markedly different dynamical features from those arising…

交易与市场微观结构 · 定量金融 2022-02-23 Riccardo Marcaccioli , Jean-Philippe Bouchaud , Michael Benzaquen