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Entropy measures in their various incarnations play an important role in the study of stochastic time series providing important insights into both the correlative and the causative structure of the stochastic relationships between the…

Statistical Finance · Quantitative Finance 2018-11-22 Michael S. Harre

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…

Statistical Finance · Quantitative Finance 2009-11-13 Gabriele La Spada , J. Doyne Farmer , Fabrizio Lillo

This paper proposes a novel approach to hedging portfolios of risky assets when financial markets are affected by financial turmoils. We introduce a completely novel approach to diversification activity not on the level of single assets but…

Portfolio Management · Quantitative Finance 2023-09-28 Jakub Michańków , Paweł Sakowski , Robert Ślepaczuk

We report an empirical study of the Ibovespa index of the Sao Paulo Stock Exchange in which we detect the existence of long-range correlations. To analyze our data we introduce a rescaled variant of the usual Detrended Fluctuation Analysis…

Statistical Mechanics · Physics 2016-08-31 R. L. Costa , G. L. Vasconcelos

One of the most enticing research areas is the stock market, and projecting stock prices may help investors profit by making the best decisions at the correct time. Deep learning strategies have emerged as a critical technique in the field…

Artificial Intelligence · Computer Science 2024-07-26 Karan Pardeshi , Sukhpal Singh Gill , Ahmed M. Abdelmoniem

We observe a length-$n$ sample generated by an unknown,stationary ergodic Markov process (\emph{model}) over a finite alphabet $\mathcal{A}$. Given any string $\bf{w}$ of symbols from $\mathcal{A}$ we want estimates of the conditional…

Information Theory · Computer Science 2014-06-11 Meysam Asadi , Ramezan Paravi Torghabeh , Narayana P. Santhanam

This paper is a supplement to our recent paper ``Alternative models for FX, arbitrage opportunities and efficient pricing of double barrier options in L\'evy models". We introduce the class of regime-switching L\'evy models with memory,…

Pricing of Securities · Quantitative Finance 2024-02-27 Svetlana Boyarchenko , Sergei Levendorskiĭ

Due to the increasing popularity of futures trading among financial market participants, the risk management of these instruments is crucial. In this paper, we introduce a model for estimating the ideal time for leaving a trading position…

Probability · Mathematics 2024-10-30 Kiarash Firouzi , Mohammad Jelodari Mamaghani

This paper explores the concept of random-time subordination in modelling stock-price dynamics, and We first present results on the Laplace distribution as a Gaussian variance-mixture, in particular a more efficient volatility estimation…

Mathematical Finance · Quantitative Finance 2025-10-17 Rohan Shenoy , Peter Kempthorne

This paper investigates the presence of long memory in corporate bond and stock indices of six European Union countries from July 1998 to February 2015. We compute the Hurst exponent by means of the DFA method and using a sliding window in…

Statistical Finance · Quantitative Finance 2016-05-24 Lisana B. Martinez , M. Belen Guercio , Aurelio F. Bariviera , Antonio Terceño

In a highly interdependent economic world, the nature of relationships between financial entities is becoming an increasingly important area of study. Recently, many studies have shown the usefulness of minimal spanning trees (MST) in…

Statistical Finance · Quantitative Finance 2013-08-19 Zeyu Zheng , Kazuko Yamasaki , Joel N. Tenenbaum , H. Eugene Stanley

Traders on financial markets generate non-Markovian effects in various ways, particularly through their competition with one another which can be interpreted as a game between different (types of) traders. To quantify the market mechanisms,…

Trading and Market Microstructure · Quantitative Finance 2025-10-14 Cedric Schuhmann , Benjamin Köhler , Anton J. Heckens , Thomas Guhr

To identify emerging interdependencies between traded stocks we investigate the behavior of the stocks of FTSE 100 companies in the period 2000-2015, by looking at daily stock values. Exploiting the power of information theoretical measures…

Statistical Finance · Quantitative Finance 2017-07-05 Jacopo Rocchi , Enoch Yan Lok Tsui , David Saad

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

While short-range dependence is widely assumed in the literature for its simplicity, long-range dependence is a feature that has been observed in data from finance, hydrology, geophysics and economics. In this paper, we extend a…

Methodology · Statistics 2019-05-20 Michele Nguyen , Almut E. D. Veraart

Navigating the intricate landscape of financial markets requires adept forecasting of stock price movements. This paper delves into the potential of Long Short-Term Memory (LSTM) networks for predicting stock dynamics, with a focus on…

Trading and Market Microstructure · Quantitative Finance 2024-03-29 Nisarg Patel , Harmit Shah , Kishan Mewada

We study the various sectors of the Bombay Stock Exchange(BSE) for a period of 8 years from April 2006 - March 2014. Using the data of daily returns of a period of eight years we make a direct model free analysis of the pattern of the…

Statistical Finance · Quantitative Finance 2015-04-23 Chandradew Sharma , Kinjal Banerjee

The majority of studies in the field of AI guided financial trading focus on purely applying machine learning algorithms to continuous historical price and technical analysis data. However, due to non-stationary and high volatile nature of…

Statistical Finance · Quantitative Finance 2021-02-03 Ling Qi , Matloob Khushi , Josiah Poon

We study a fundamental instability mechanism in nonlinear, nonlocal dynamical systems arising from the interaction of long-range memory and stochastic regime switching. The dynamics are governed by network-coupled, operator-valued Volterra…

Statistics Theory · Mathematics 2026-05-04 Mauricio Herrera-Marín

Energy markets and the associated energy futures markets play a crucial role in global economies. We investigate the statistical properties of the recurrence intervals of daily volatility time series of four NYMEX energy futures, which are…

Statistical Finance · Quantitative Finance 2013-12-31 Wen-Jie Xie , Zhi-Qiang Jiang , Wei-Xing Zhou
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