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An analytical study of the return time distribution of extreme events for stochastic processes with power-law correlation has been carried on. The calculation is based on an epsilon-expansion in the correlation exponent:…

Statistical Mechanics · Physics 2009-11-11 Piero Olla

Whether or not stocks are predictable has been a topic of concern for decades.The efficient market hypothesis (EMH) says that it is difficult for investors to make extra profits by predicting stock prices, but this may not be true,…

Numerical Analysis · Mathematics 2023-07-07 Yueshan Chen , Xingyu Xu , Tian Lan , Sihai Zhang

The gain-loss asymmetry, observed in the inverse statistics of stock indices is present for logarithmic return levels that are over $2\%$, and it is the result of the non-Pearson type auto-correlations in the index. These non-Pearson type…

Statistical Finance · Quantitative Finance 2016-08-24 Bulcsú Sándor , Ingve Simonsen , Bálint Zsolt Nagy , Zoltán Néda

We investigate the probability distribution of the return intervals $\tau$ between successive 1-min volatilities of two Chinese indices exceeding a certain threshold $q$. The Kolmogorov-Smirnov (KS) tests show that the two indices exhibit…

Statistical Finance · Quantitative Finance 2008-12-27 Fei Ren , Wei-Xing Zhou

We propose a new set of stylized facts quantifying the structure of financial markets. The key idea is to study the combined structure of both investment strategies and prices in order to open a qualitatively new level of understanding of…

Statistical Finance · Quantitative Finance 2015-03-19 Wei-Xing Zhou , Guo-Hua Mu , Wei Chen , Didier Sornette

We show that the moments of the distribution of historic stock returns are in excellent agreement with the Heston model and not with the multiplicative model, which predicts power-law tails of volatility and stock returns. We also show that…

Mathematical Finance · Quantitative Finance 2019-08-01 Zhiyuan Liu , M. Dashti Moghaddam , R. A. Serota

We perform return interval analysis of 1-min {\em{realized volatility}} defined by the sum of absolute high-frequency intraday returns for the Shanghai Stock Exchange Composite Index (SSEC) and 22 constituent stocks of SSEC. The scaling…

Statistical Finance · Quantitative Finance 2009-09-11 Fei Ren , Gao-Feng Gu , Wei-Xing Zhou

This paper concentrates on the time series momentum or contrarian effects in the Chinese stock market. We evaluate the performance of the time series momentum strategy applied to major stock indices in mainland China and explore the…

Statistical Finance · Quantitative Finance 2017-07-19 Huai-Long Shi , Wei-Xing Zhou

This paper presents a quantitative analysis of the relationship between the stock market returns and corresponding trading volumes using high- frequency data from the Polish stock market. First, for stocks that were traded for suffciently…

Statistical Finance · Quantitative Finance 2013-11-06 Rafal Rak , Stanislaw Drozdz , Jaroslaw Kwapien , Pawel Oswiecimka

We investigate the general problem of how to model the kinematics of stock prices without considering the dynamical causes of motion. We propose a stochastic process with long-range correlated absolute returns. We find that the model is…

Disordered Systems and Neural Networks · Physics 2008-12-02 M. Serva , U. L. Fulco , M. L. Lyra , G. M. Viswanathan

A large consensus now seems to take for granted that the distributions of empirical returns of financial time series are regularly varying, with a tail exponent close to 3. We revisit this results and use standard tests as well as develop a…

Physics and Society · Physics 2008-12-10 Y. Malevergne , V. F. Pisarenko , D. Sornette

The probability distribution of log-returns for financial time series, sampled at high frequency, is the basis for any further developments in quantitative finance. In this letter, we present experimental results based on a large set of…

Statistical Finance · Quantitative Finance 2011-10-11 Laurent Schoeffel

We measure the influence of different time-scales on the dynamics of financial market data. This is obtained by decomposing financial time series into simple oscillations associated with distinct time-scales. We propose two new time-varying…

Statistical Finance · Quantitative Finance 2016-11-23 Noemi Nava , Tiziana Di Matteo , Tomaso Aste

We compare systematically several classes of stochastic volatility models of stock market fluctuations. We show that the long-time return distribution is either Gaussian or develops a power-law tail, while the short-time return distribution…

Statistical Finance · Quantitative Finance 2010-09-15 Frantisek Slanina

Statistical and multiscaling characteristics of WTI Crude Oil prices expressed in US dollar in relation to the most traded currencies as well as to gold futures and to the E-mini S$\&$P500 futures prices on 5 min intra-day recordings in the…

Statistical Finance · Quantitative Finance 2019-06-24 Marcin Wątorek , Stanisław Drożdż , Paweł Oświȩcimka , Marek Stanuszek

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…

Statistical Mechanics · Physics 2024-01-11 Hideyuki Miyahara , Hai Qian , Pavan Holur , Vwani Roychowdhury

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,…

Soft Condensed Matter · Physics 2015-06-24 J. Kwapien , S. Drozdz , J. Speth

This paper reexamines the profitability of loser, winner and contrarian portfolios in the Chinese stock market using monthly data of all stocks traded on the Shanghai Stock Exchange and Shenzhen Stock Exchange covering the period from…

Trading and Market Microstructure · Quantitative Finance 2015-09-17 Huai-Long Shi , Zhi-Qiang Jiang , Wei-Xing Zhou

Technical trading rules have a long history of being used by practitioners in financial markets. Their profitable ability and efficiency of technical trading rules are yet controversial. In this paper, we test the performance of more than…

Trading and Market Microstructure · Quantitative Finance 2015-09-03 Shan Wang , Zhi-Qiang Jiang , Sai-Ping Li , Wei-Xing Zhou

Financial markets are highly non-linear and non-equilibrium systems. Earlier works have suggested that the behavior of market returns can be well described within the framework of non-extensive Tsallis statistics or superstatistics. For…

Statistical Finance · Quantitative Finance 2021-06-30 Sandhya Devi