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We propose two rational expectation models of transient financial bubbles with heterogeneous arbitrageurs and positive feedbacks leading to self-reinforcing transient stochastic faster-than-exponential price dynamics. As a result of the…

General Finance · Quantitative Finance 2009-11-11 Li Lin , Didier Sornette

Various works have already showed that common shocks and cross-country financial linkages caused the banking systems of several countries to be highly interconnected with the result that during bad times, banking crises may arise…

Statistical Finance · Quantitative Finance 2019-04-30 Paolo Di Caro , Giuseppe Pernagallo , Antonino Damiano Rossello , Benedetto Torrisi

In this study, we perform a novel analysis of the 2015 financial bubble in the Chinese stock market by calibrating the Log Periodic Power Law Singularity (LPPLS) model to two important Chinese stock indices, SSEC and SZSC, from early 2014…

Statistical Finance · Quantitative Finance 2019-06-14 Min Shu , Wei Zhu

The aim of this study is to investigate quantitatively whether share prices deviated from company fundamentals in the stock market crash of 2008. For this purpose, we use a large database containing the balance sheets and share prices of…

General Finance · Quantitative Finance 2018-08-07 Taisei Kaizoji , Michiko Miyano

The aim of this paper is to compare statistical properties of stock price indices in periods of booms with those in periods of stagnations. We use the daily data of the four stock price indices in the major stock markets in the world: (i)…

Physics and Society · Physics 2008-12-02 Taisei Kaizoji

We perform a comparative analysis of the Chinese stock market around the occurrence of the 2008 crisis based on the random matrix analysis of high-frequency stock returns of 1228 stocks listed on the Shanghai and Shenzhen stock exchanges.…

Statistical Finance · Quantitative Finance 2017-04-19 Rui-Qi Han , Wen-Jie Xie , Xiong Xiong , Wei Zhang , Wei-Xing Zhou

This paper proposes a simple and parsimonious discrete-time simulation model to describe the endogenous formation and periodic collapse of financial bubbles. While existing literature has extensively explored the statistical properties of…

Trading and Market Microstructure · Quantitative Finance 2026-05-05 Naohiro Yoshida

We investigate the daily correlation present among market indices of stock exchanges located all over the world in the time period Jan 1996 - Jul 2009. We discover that the correlation among market indices presents both a fast and a slow…

Statistical Finance · Quantitative Finance 2011-08-16 Dong-Ming Song , Michele Tumminello , Wei-Xing Zhou , Rosario N. Mantegna

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

We present the results of a search of log-periodic corrections to scaling in the moments of the energy dissipation rate in experiments at high Reynolds number (2500) of three-dimensional fully developed turbulence. A simple dynamical…

Statistical Mechanics · Physics 2009-11-07 Wei-Xing Zhou , Didier Sornette

The self-similar analysis of time series, suggested earlier by the authors, is applied to the description of market crises. The main attention is payed to the October 1929, 1987 and 1997 stock market crises, which can be successfully…

Statistical Mechanics · Physics 2016-08-31 S. Gluzman , V. I. Yukalov

We highlight a very simple statistical tool for the analysis of financial bubbles, which has already been studied in [1]. We provide extensive empirical tests of this statistical tool and investigate analytically its link with stocks…

Statistical Finance · Quantitative Finance 2009-09-17 Frederic Abergel , Nicolas Huth , Ioane Muni Toke

In a general way, stock and bond prices do not display any significant correlation. Yet, if we concentrate our attention on specific episodes marked by a crash followed by a rebound, then we observe that stock prices have a strong…

Condensed Matter · Physics 2009-11-10 Sergei Maslov , Bertrand M. Roehner

We develop a new stock market index that captures the chaos existing in the market by measuring the mutual changes of asset prices. This new index relies on a tensor-based embedding of the stock market information, which in turn frees it…

Statistical Finance · Quantitative Finance 2021-06-09 Masoud Ataei , Shengyuan Chen , Zijiang Yang , M. Reza Peyghami

This paper proposes and motivates a dynamical model of the Chinese stock market based on a linear regression in a dual state space connected to the original state space of correlations between the volume-at-price buckets by a Fourier…

Trading and Market Microstructure · Quantitative Finance 2020-05-15 P. B. Lerner

We present a symmetry analysis of the distribution of variations of different financial indices, by means of a statistical procedure developed by the authors based on a symmetry statistic by Einmahl and Mckeague. We applied this statistical…

Statistical Finance · Quantitative Finance 2022-01-17 C. M. Rodríguez-Martínez , H. F. Coronel-Brizio , A. R. Hernández-Montoya

Empirical diagnosis of stability has received considerable attention, mostly focused on variance metrics for early warning signals of abrupt system change. Despite this, the theoretical foundation and application has been limited to…

Adaptation and Self-Organizing Systems · Physics 2020-09-11 Zachary C Williams , Dylan E McNamara

This paper is devoted to problem of detecting critical events at finiacial markets using methods of multifractal analysis. Namely, the local regularity of time-series is studied. As a result, one can find out a special behavior or signal of…

Other Condensed Matter · Physics 2008-12-02 I. A. Agaev , Yu. A. Kuperin

The recent surge in valuations among AI related firms has renewed concerns that markets may be entering a new phase of speculative exuberance, especially in the technology and semiconductor sectors at the center of the AI investment wave.…

Methodology · Statistics 2026-05-12 Abir Sarkar , Martin T. Wells

We find a remarkable time persistence of various proxies for the kurtosis (p-kurtosis) of the intraday returns distribution for the S&P500 index and this permits a significant measure of their evolution from 1983 to 2004. There appears a…

Statistical Finance · Quantitative Finance 2011-12-12 M. A. Virasoro
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