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Modeling the evolution of a financial index as a stochastic process is a problem awaiting a full, satisfactory solution since it was first formulated by Bachelier in 1900. Here it is shown that the scaling with time of the return…

Statistical Finance · Quantitative Finance 2009-11-13 Attilio L. Stella , Fulvio Baldovin

We study the return interval $\tau$ between price volatilities that are above a certain threshold $q$ for 31 intraday datasets, including the Standard & Poor's 500 index and the 30 stocks that form the Dow Jones Industrial index. For…

Physics and Society · Physics 2008-12-02 Fengzhong Wang , Kazuko Yamasaki , Shlomo Havlin , H. Eugene Stanley

We show that recent stock market fluctuations are characterized by the cumulative distributions whose tails on short, minute time scales exhibit power scaling with the scaling index alpha > 3 and this index tends to increase quickly with…

Statistical Finance · Quantitative Finance 2009-11-13 S. Drozdz , M. Forczek , J. Kwapien , P. Oswiecimka , R. Rak

The potential of machine learning to automate and control nonlinear, complex systems is well established. These same techniques have always presented potential for use in the investment arena, specifically for the managing of equity…

Portfolio Management · Quantitative Finance 2011-10-18 Evan Hurwitz , Tshilidzi Marwala

The principle of absence of arbitrage opportunities allows obtaining the distribution of stock price fluctuations by maximizing its information entropy. This leads to a physical description of the underlying dynamics as a random walk…

Statistical Finance · Quantitative Finance 2013-10-31 Rosario Bartiromo

Stock price change in financial market occurs through transactions in analogy with diffusion in stochastic physical systems. The analysis of price changes in real markets shows that long-range correlations of price fluctuations largely…

Statistical Mechanics · Physics 2008-12-10 V. Gontis

We consider nonparametric estimation of mean regression and conditional variance (or volatility) functions in nonlinear stochastic regression models. Simultaneous confidence bands are constructed and the coverage probabilities are shown to…

Statistics Theory · Mathematics 2008-08-08 Zhibiao Zhao , Wei Biao Wu

Technical trading rules have been widely used by practitioners in financial markets for a long time. The profitability remains controversial and few consider the stationarity of technical indicators used in trading rules. We convert MA, KDJ…

Statistical Finance · Quantitative Finance 2018-01-17 Jing-Chao Chen , Yu Zhou , Xi Wang

We study a an optimal high frequency trading problem within a market microstructure model designed to be a good compromise between accuracy and tractability. The stock price is driven by a Markov Renewal Process (MRP), while market orders…

Trading and Market Microstructure · Quantitative Finance 2015-01-06 Pietro Fodra , Huyên Pham

In this paper we seek to demonstrate the predictability of stock market returns and explain the nature of this return predictability. To this end, we introduce investors with different investment horizons into the news-driven, analytic,…

General Finance · Quantitative Finance 2016-03-30 Dimitri Kroujiline , Maxim Gusev , Dmitry Ushanov , Sergey V. Sharov , Boris Govorkov

We propose a Genetic Programming architecture for the generation of foreign exchange trading strategies. The system's principal features are the evolution of free-form strategies which do not rely on any prior models and the utilization of…

Neural and Evolutionary Computing · Computer Science 2014-11-11 Simone Cirillo , Stefan Lloyd , Peter Nordin

With the increasing volume of high-frequency data in the information age, both challenges and opportunities arise in the prediction of stock volatility. On one hand, the outcome of prediction using tradition method combining stock technical…

Statistical Finance · Quantitative Finance 2023-09-29 Wenting Liu , Zhaozhong Gui , Guilin Jiang , Lihua Tang , Lichun Zhou , Wan Leng , Xulong Zhang , Yujiang Liu

This study integrates real-time sentiment analysis from financial news, GPT-2 and FinBERT, with technical indicators and time-series models like ARIMA and ETS to optimize S&P 500 trading strategies. By merging sentiment data with momentum…

Computational Finance · Quantitative Finance 2025-07-15 Haojie Liu , Zihan Lin , Randall R. Rojas

Maximizing revenue for grid-scale battery energy storage systems in continuous intraday electricity markets requires strategies that are able to seize trading opportunities as soon as new information arrives. This paper introduces and…

Trading and Market Microstructure · Quantitative Finance 2025-08-27 David Schaurecker , David Wozabal , Nils Löhndorf , Thorsten Staake

We study historical dynamics of joint equilibrium distribution of stock returns in the U.S. stock market using the Boltzmann distribution model being parametrized by external fields and pairwise couplings. Within Boltzmann learning…

Statistical Finance · Quantitative Finance 2015-12-11 Stanislav S. Borysov , Yasser Roudi , Alexander V. Balatsky

This paper models stochastic process of price time series of CSI 300 index in Chinese financial market, analyzes volatility characteristics of intraday high-frequency price data. In the new generalized Barndorff-Nielsen and Shephard model,…

Statistical Finance · Quantitative Finance 2023-01-19 Xianfei Hui , Baiqing Sun , Indranil SenGupta , Yan Zhou , Hui Jiang

To reject the Efficient Market Hypothesis a set of 5 technical indicators and 23 fundamental indicators was identified to establish the possibility of generating excess returns on the stock market. Leveraging these data points and various…

Statistical Finance · Quantitative Finance 2021-03-17 Jaideep Singh , Matloob Khushi

The estimation of asset return distributions is crucial for determining optimal trading strategies. In this paper we describe the constrained mixture model, based on a mixture of Gamma and Gaussian distributions, to provide an accurate…

Machine Learning · Statistics 2011-03-15 Iead Rezek

By applying the multifractal detrended fluctuation analysis to the high-frequency tick-by-tick data from Deutsche B\"orse both in the price and in the time domains, we investigate multifractal properties of the time series of logarithmic…

Other Condensed Matter · Physics 2009-11-10 P. Oswiecimka , J. Kwapien , S. Drozdz

The association between log-price increments of exchange-traded equities, as measured by their spot correlation estimated from high-frequency data, exhibits a pronounced upward-sloping and almost piecewise linear relationship at the…

Econometrics · Economics 2026-01-16 Kim Christensen , Ulrich Hounyo , Zhi Liu
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