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Related papers: Transfer Entropy Analysis of the Stock Market

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We obtain the maximum entropy distribution for an asset from call and digital option prices. A rigorous mathematical proof of its existence and exponential form is given, which can also be applied to legitimise a formal derivation by Buchen…

Pricing of Securities · Quantitative Finance 2011-02-03 C. Neri , L. Schneider

In this paper we aim to find a measure for the diversity of cash flows between agents in an economy. We argue that cash flows can be linked to probabilities of finding a currency unit in a given cash flow. We then use the information…

General Finance · Quantitative Finance 2013-01-24 Ulrich Kirchner , Simon Moolman

In this paper the diffusion entropy technique is applied to investigate the scaling behavior of financial markets. The scaling behaviors of four representative stock markets, Dow Jones Industrial Average, Standard&Poor 500, Heng Seng Index,…

Physics and Society · Physics 2007-05-23 Shi-Min Cai , Pei-Ling Zhou , Hui-Jie Yang , Chun-Xia Yang , Bing-Hong Wang , Tao Zhou

We investigated financial market data to determine which factors affect information flow between stocks. Two factors, the time dependency and the degree of efficiency, were considered in the analysis of Korean, the Japanese, the Taiwanese,…

Statistical Finance · Quantitative Finance 2009-11-13 Cheoljun Eom , Woo-Sung Jung , Sunghoon Choi , Gabjin Oh , Seunghwan Kim

We introduce a probability current analysis of excitation energy transfer between states of an open quantum system. Expressing the energy transfer through currents of excitation probability between the states in a site representation…

Quantum Physics · Physics 2016-02-17 Jan J. J. Roden , K. Birgitta Whaley

The investor is interested in the expected return and he is also concerned about the risk and the uncertainty assumed by the investment. One of the most popular concepts used to measure the risk and the uncertainty is the variance and/or…

Statistical Finance · Quantitative Finance 2008-12-02 Andreia Dionisio , Rui Menezes , Diana A. Mendes

In this paper we revisit the concept of mobility entropy. Over time, the structure of spatial interactions among urban centres tends to become more complex and evolves from centralised models to more scattered origin and destination…

Physics and Society · Physics 2021-06-30 Valentina Marin , Carlos Molinero , Elsa Arcaute

We theoretically investigate how information flows when two particles interact with each other. Understanding the physical mechanisms of directional information flow is crucial for advancing information thermodynamics and stochastic…

Statistical Mechanics · Physics 2026-03-12 Tenta Tani

Phase transitions abound in nature and society, and, from species extinction to stock market collapse, their prediction is of widespread importance. In earlier work we showed that Global Transfer Entropy, a general measure of information…

Statistical Mechanics · Physics 2021-04-12 Joshua Brown , Terry Bossomaier , Lionel Barnett

The relationship between entropy and information is reviewed, taking into account that information is stored in macroscopic degrees of freedom, such as the order parameter in a system exhibiting spontaneous symmetry breaking. It is shown…

Statistical Mechanics · Physics 2009-10-31 Juan M. R. Parrondo

The concept of entropy rate for a dynamical process on a graph is introduced. We study diffusion processes where the node degrees are used as a local information by the random walkers. We describe analitically and numerically how the degree…

Statistical Mechanics · Physics 2009-11-13 Jesus Gomez-Gardenes , Vito Latora

Stock market indices are one of the most investigated complex systems in econophysics. Here we extend the existing literature on stock markets in connection with nonextensive statistical mechanics. We explore the nonextensivity of price…

Statistical Finance · Quantitative Finance 2019-05-01 Dusan Stosic , Darko Stosic , Tatijana Stosic

The author proposes a finance trading strategy named Entropy Oriented Trading and apply thermodynamics on the strategy. The state variables are chosen so that the strategy satisfies the second law of thermodynamics. Using the law, the…

Trading and Market Microstructure · Quantitative Finance 2008-12-02 Yoichi Hirai

Understanding and forecasting changing market conditions in complex economic systems like the financial market is of great importance to various stakeholders such as financial institutions and regulatory agencies. Based on the finding that…

Statistical Finance · Quantitative Finance 2023-05-10 Tobias Wand , Martin Heßler , Oliver Kamps

In the recent past, there were several works on the prediction of stock price using different methods. Sentiment analysis of news and tweets and relating them to the movement of stock prices have already been explored. But, when we talk…

Computation and Language · Computer Science 2024-12-11 Subhasis Dasgupta , Pratik Satpati , Ishika Choudhary , Jaydip Sen

We consider discrete stochastic processes, modeled by classical master equations, on networks. The temporal growth of the lack of information about the system is captured by its non-equilibrium entropy, defined via the transition…

Statistical Mechanics · Physics 2017-04-26 Oliver Muelken , Sarah Heinzelmann , Maxim Dolgushev

Transfer entropy measures directed information flow in time series, and it has become a fundamental quantity in applications spanning neuroscience, finance, and complex systems analysis. However, existing estimation methods suffer from the…

Machine Learning · Computer Science 2026-04-10 Simon Pedro Galeano Munoz , Mustapha Bounoua , Giulio Franzese , Pietro Michiardi , Maurizio Filippone

Decisions taken in our everyday lives are based on a wide variety of information so it is generally very difficult to assess what are the strategies that guide us. Stock market therefore provides a rich environment to study how people take…

General Finance · Quantitative Finance 2016-09-28 Mario Gutiérrez-Roig , Carlota Segura , Jordi Duch , Josep Perelló

The thermodynamic definition of entropy can be extended to nonequilibrium systems based on its relation to information. To apply this definition in practice requires access to the physical system's microstates, which may be prohibitively…

Statistical Mechanics · Physics 2020-08-21 Gil Ariel , Haim Diamant

Potentially influential spaces in the spatial networks of cities can be detected by means of the entropy participation ratios. Local (connectivity) and global (centrality) entropies are considered. While the connectivity entropy has a…

Physics and Society · Physics 2007-09-28 D. Volchenkov , Ph. Blanchard