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Related papers: Power laws and market crashes

200 papers

Speculative bubbles exhibit common statistical signatures across many financial markets, suggesting the presence of universal underlying mechanisms. We test this hypothesis in the Iranian stock market, an economy that is highly isolated,…

Statistical Finance · Quantitative Finance 2025-12-16 Ali Hosseinzadeh

It is now well established empirically that financial price changes are distributed according to a power law, with cubic exponent. This is a fascinating regularity, as it holds for various classes of securities, on various markets, and on…

Statistical Finance · Quantitative Finance 2016-12-28 Sabiou Inoua

In a recent Nature paper, Gabaix et al. \cite{Gabaix03} presented a theory to explain the power law tail of price fluctuations. The main points of their theory are that volume fluctuations, which have a power law tail with exponent roughly…

Statistical Mechanics · Physics 2008-12-02 J. Doyne Farmer , Fabrizio Lillo

A generic communication model of a boolean network with transmission errors is proposed to explore the power-law scaling of states' evolution in small-world networks. In the model, the power spectrum of the population difference between…

Condensed Matter · Physics 2007-05-23 Jiann-Shing Lih , Jyh-Long Chern

This paper is trying to unveil general statistical characteristic of financial; time series data that is subjected to several financial time series data present in Indonesia, e.g. individual index such as stock price of PT. TELKOM, stock…

Other Condensed Matter · Physics 2008-12-02 Hokky Situngkir , Yohanes Surya

In this study, we investigate the statistical properties of the returns and the trading volume. We show a typical example of power-law distributions of the return and of the trading volume. Next, we propose an interacting agent model of…

Statistical Finance · Quantitative Finance 2013-09-11 Taisei Kaizoji

We carry out a large-scale empirical data analysis to examine the efficiency of the so-called pairs trading. On the basis of relevant three thresholds, namely, starting, profit-taking, and stop-loss for the `first-passage process' of the…

Trading and Market Microstructure · Quantitative Finance 2015-03-20 Mitsuaki Murota , Jun-ichi Inoue

Both theoretical and applied economics have a great deal to say about many aspects of the firm, but the literature on the extinctions, or demises, of firms is very sparse. We use a publicly available data base covering some 6 million firms…

Statistical Mechanics · Physics 2009-11-07 William Cook , Paul Ormerod

Renowned method of log-periodic power law(LPPL) is one of the few ways that a financial market crash could be predicted. Alongside with LPPL, this paper propose a novel method of stock market crash using white box model derived from simple…

Statistical Finance · Quantitative Finance 2021-08-27 HyeonJun Kim

We study the cascading dynamics immediately before and immediately after 219 market shocks. We define the time of a market shock T_{c} to be the time for which the market volatility V(T_{c}) has a peak that exceeds a predetermined…

Trading and Market Microstructure · Quantitative Finance 2010-10-05 Alexander M. Petersen , Fengzhong Wang , Shlomo Havlin , H. Eugene Stanley

We propose a novel model, the Hyped Log-Periodic Power Law Model (HLPPL), to the problem of quantifying and detecting financial bubbles, an ever-fascinating one for academics and practitioners alike. Bubble labels are generated using a…

Computational Finance · Quantitative Finance 2025-10-14 Zheng Cao , Xingran Shao , Yuheng Yan , Helyette Geman

[Takayasu et al., Phys. Rev.Lett. 79, 966 (1997)] revisited the question of stochastic processes with multiplicative noise, which have been studied in several different contexts over the past decades. We focus on the regime, found for a…

Statistical Mechanics · Physics 2009-10-30 D. Sornette

In this article we discuss the distribution of asset price movements by the market potential function. From the principle of free energy minimization we analyze two different kinds of market potentials. We obtain a U-shaped potential when…

Statistical Finance · Quantitative Finance 2014-03-14 Dong Han Kim , Stefano Marmi

The herd behaviors of returns for the won-dollar exchange rate and the KOSPI are analyzed in Korean financial markets. It is shown that the probability distribution $P(R)$ of price returns $R$ for three values of the herding parameter tends…

Statistical Mechanics · Physics 2009-11-10 Kyungsik Kim , Seong-Min Yoon , Yup Kim

This Colloquium reviews statistical models for money, wealth, and income distributions developed in the econophysics literature since the late 1990s. By analogy with the Boltzmann-Gibbs distribution of energy in physics, it is shown that…

Statistical Finance · Quantitative Finance 2009-12-24 Victor M. Yakovenko , J. Barkley Rosser

The paper reports the construction of artificial stock market that emerges the similar statistical facts with real data in Indonesian stock market. We use the individual but dominant data, i.e.: PT TELKOM in hourly interval. The artificial…

Other Condensed Matter · Physics 2008-12-02 Hokky Situngkir , Yohanes Surya

The so-called Pareto-Levy or power-law distribution has been successfully used as a model to describe probabilities associated to extreme variations of worldwide stock markets indexes data and it has the form $Pr(X>x) ~ x**(-alpha) for…

Other Condensed Matter · Physics 2009-11-10 H. F. Coronel-Brizio , A. R. Hernandez-Montoya

Power spectrum densities for the number of tick quotes per minute (market activity) on three currency markets (USD/JPY, EUR/USD, and JPY/EUR) for periods from January 1999 to December 2000 are analyzed. We find some peaks on the power…

Data Analysis, Statistics and Probability · Physics 2009-11-11 Aki-Hiro Sato

Using the uniform most powerful unbiased test, we observed the sales distribution of consumer electronics in Japan on a daily basis and report that it follows both a lognormal distribution and a power-law distribution and depends on the…

Physics and Society · Physics 2015-03-14 Ryohei Hisano , Takayuki Mizuno

In this paper, we studied the dynamics of the log-return distribution of the Korean Composition Stock Price Index (KOSPI) from 1992 to 2004. Based on the microscopic spin model, we found that while the index during the late 1990s showed a…

Physics and Society · Physics 2008-12-02 Jae-Suk Yang , Seungbyung Chae , Woo-Sung Jung , Hie-Tae Moon