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We investigate the random walk of prices by developing a simple model relating the properties of the signs and absolute values of individual price changes to the diffusion rate (volatility) of prices at longer time scales. We show that this…

统计金融 · 定量金融 2009-11-13 Gabriele La Spada , J. Doyne Farmer , Fabrizio Lillo

The behavior of stock market returns over a period of 1-60 days has been investigated for S&P 500 and Nasdaq within the framework of nonextensive Tsallis statistics. Even for such long terms, the distributions of the returns are…

统计金融 · 定量金融 2017-09-18 Sandhya Devi

We study decades-long historic distributions of accumulated S\&P500 returns, from daily returns to those over several weeks. The time series of the returns emphasize major upheavals in the markets -- Black Monday, Tech Bubble, Financial…

统计金融 · 定量金融 2025-12-30 Hamed Farahani , R. A. Serota

In this paper we study the possible microscopic origin of heavy-tailed probability density distributions for the price variation of financial instruments. We extend the standard log-normal process to include another random component in the…

统计金融 · 定量金融 2009-11-13 T. S. Biro , R. Rosenfeld

The scaling properties of the time series of asset prices and trading volumes of stock markets are analysed. It is shown that similarly to the asset prices, the trading volume data obey multi-scaling length-distribution of low-variability…

统计力学 · 物理学 2008-12-02 Robert Kitt , Jaan Kalda

Applying a network analysis to stock return correlations, we study the dynamical properties of the network and how they correlate with the market return, finding meaningful variables that partially capture the complex dynamical processes of…

统计金融 · 定量金融 2024-08-22 Ixandra Achitouv

The distribution of price returns for a class of uncorrelated diffusive dynamics is considered. The basic assumptions are (1) that there is a "consensus" value associated with a stock, and (2) that the rate of diffusion depends on the…

其他凝聚态物理 · 物理学 2008-12-02 A. L. Alejandro-Quinones , K. E. Bassler , M. Field , J. L. McCauley , M. Nicol , I. Timofeyef , A. Torok , G. H. Gunaratne

Understanding the mutual relationships between information flows and social activity in society today is one of the cornerstones of the social sciences. In financial economics, the key issue in this regard is understanding and quantifying…

机器学习 · 统计学 2015-06-11 Ryohei Hisano , Didier Sornette , Takayuki Mizuno , Takaaki Ohnishi , Tsutomu Watanabe

As described in this paper, we study market-wide price co-movements around crashes by analyzing a dataset of high-frequency stock returns of the constituent issues of Nikkei 225 Index listed on the Tokyo Stock Exchange for the three years…

统计金融 · 定量金融 2013-06-11 Jun-ichi Maskawa , Joshin Murai , Koji Kuroda

Several works have observed heavy-tailed behavior in the distributions of returns in different markets, which are observable indicators of underlying complex dynamics. Such prior works study return distributions that are marginalized across…

统计力学 · 物理学 2024-01-11 Hideyuki Miyahara , Hai Qian , Pavan Holur , Vwani Roychowdhury

We study the rank distribution, the cumulative probability, and the probability density of returns of stock prices of listed firms traded in four stock markets. We find that the rank distribution and the cumulative probability of stock…

其他凝聚态物理 · 物理学 2008-12-02 Kyungsik Kim , S. -M. Yoon , K. H. Chang

Starting from the characterization of the past time evolution of market prices in terms of two fundamental indicators, price velocity and price acceleration, we construct a general classification of the possible patterns characterizing the…

统计力学 · 物理学 2009-10-31 J. V. Andersen , S. Gluzman , D. Sornette

Financial markets provide an ideal frame for the study of crossing or first-passage time events of non-Gaussian correlated dynamics mainly because large data sets are available. Tick-by-tick data of six futures markets are herein considered…

统计金融 · 定量金融 2011-12-23 Josep Perelló , Mario Gutiérrez-Roig , Jaume Masoliver

In speculative markets, risk-free profit opportunities are eliminated by traders exploiting them. Markets are therefore often described as "informationally efficient", rapidly removing predictable price changes, and leaving only residual…

交易与市场微观结构 · 定量金融 2013-10-08 Felix Patzelt , Klaus R. Pawelzik

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

We analyze the sequence of time intervals between consecutive stock trades of thirty companies representing eight sectors of the U. S. economy over a period of four years. For all companies we find that: (i) the probability density function…

统计力学 · 物理学 2009-11-10 Plamen Ch. Ivanov , Ainslie Yuen , Boris Podobnik , Youngki Lee

We analyze realized volatilities constructed using high-frequency stock data on the Tokyo Stock Exchange. In order to avoid non-trading hours issue in volatility calculations we define two realized volatilities calculated separately in the…

统计金融 · 定量金融 2013-05-16 Tetsuya Takaishi , Ting Ting Chen , Zeyu Zheng

We study the temporal evolution of the market efficiency in the stock markets using the complexity, entropy density, standard deviation, autocorrelation function, and probability distribution of the log return for Standard and Poor's 500…

物理与社会 · 物理学 2008-12-02 Jae-Suk Yang , Wooseop Kwak , Taisei Kaizoji , In-mook Kim

Distributions derived from non-extensive Tsallis statistics are closely connected with dynamics described by a nonlinear Fokker-Planck equation. The combination shows promise in describing stochastic processes with power-law distributions…

统计力学 · 物理学 2008-12-02 Fredrick Michael , M. D. Johnson

We introduce a new stochastic duration model for transaction times in asset markets. We argue that widely accepted rules for aggregating seemingly related trades mislead inference pertaining to durations between unrelated trades: while any…

计量经济学 · 经济学 2020-05-20 Samuel Gingras , William J. McCausland