Generalized Entropy Theory of Information and Market Patterns PDF Download

Author: Jing Chen
Publisher:
ISBN:
Category :
Languages : en
Pages : 17

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Book Description
We develop an economic theory of information generalized from the entropy theory of information and show that it provides the foundation to understand market behavior. One fundamental result from this information theory is that information with higher value is in general more costly. Another fundamental result from this information theory is that the amount of information one can receive is the amount of information generated minus equivocation. The level of equivocation, which is the measure of information asymmetry, is determined by the correlation between the source of information and the receiver of information. How much information one can receive depends on the background knowledge of the receiver. In general, industry insiders understand information earlier than other investors; large investors, who are willing to spend more to collect and analyze information, generally utilize different kinds of information from small investors. This heterogeneity in information processing by the investment public offers a simple understanding of the price and volume patterns uncovered in the empirical studies, which have been unable to be explained by the existing theories in behavioral finance.

Author: Jing Chen
Publisher:
ISBN:
Category :
Languages : en
Pages : 25

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Book Description
Some recent empirical works indicate that investor performance and market patterns are primarily information driven instead of a behavioral phenomenon. However, Grossman and Stiglitz information theory and its variations offer little guidance in identifying informed investors and in distinguishing between securities with scarce information and those with widely available information. We show that most empirical evidences about market behaviors documented in the literature can be explained by a new information theory generalized from Shannon's entropy theory of information. Investor performance and market patterns are the results of information processing by investors of different sizes with different background knowledge.

Author: Jing Chen
Publisher: World Scientific
ISBN: 9812563237
Category : Social Science
Languages : en
Pages : 147

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Book Description
All human activities, including mental activities, are governed by physical laws and are essentially thermodynamic processes. However, current economic theories are not established on these foundations. This pioneering book seeks to develop an analytical theory of economics on the foundation of thermodynamic laws. A unified understanding of economic and social phenomena is presented, an understanding that is much simpler than what mainstream economic theory has to offer. Its aim is to revolutionize thinking in economics and transform social sciences into an integral part of the physical and biological sciences.

Author: Jing Chen
Publisher: World Scientific
ISBN: 9814480428
Category : Business & Economics
Languages : en
Pages : 147

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Book Description
All human activities, including mental activities, are governed by physical laws and are essentially thermodynamic processes. However, current economic theories are not established on these foundations. This pioneering book seeks to develop an analytical theory of economics on the foundation of thermodynamic laws. A unified understanding of economic and social phenomena is presented, an understanding that is much simpler than what mainstream economic theory has to offer. Its aim is to revolutionize thinking in economics and transform social sciences into an integral part of the physical and biological sciences.

Author: Jing Chen
Publisher: Springer
ISBN: 149393466X
Category : Science
Languages : en
Pages : 148

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Book Description
This book presents a new economic theory developed from physical and biological principles. It explains how technology, social systems and economic values are intimately related to resources. Many people have recognized that mainstream (neoclassical) economic theories are not consistent with physical laws and often not consistent with empirical patterns, but most feel that economic activities are too complex to be described by a simple and coherent mathematical theory. While social systems are indeed complex, all life systems, including social systems, satisfy two principles. First, all systems need to extract resources from the external environment to compensate for their consumption. Second, for a system to be viable, the amount of resource extraction has to be no less than the level of consumption. From these two principles, we derive a quantitative theory of major factors in economic activities, such as fixed cost, variable cost, discount rate, uncertainty and duration. The mathematical theory enables us to systematically measure the effectiveness of different policies and institutional structures at varying levels of resource abundance and cost.The theory presented in this book shows that there do not exist universally optimal policies or institutional structures. Instead, the impacts of different policies or social structures have to be measured within the context of existing levels of resource abundance. As the physical costs of extracting resources rise steadily, many policy assumptions adopted in mainstream economic theories, and workable in times of cheap and abundant energy supplies and other resources, need to be reconsidered. In this rapidly changing world, the theory presented here provides a solid foundation for examining the long-term impacts of today's policy decisions.

Author: Amos Golan
Publisher: Now Publishers Inc
ISBN: 160198104X
Category : Business & Economics
Languages : en
Pages : 167

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Book Description
Information and Entropy Econometrics - A Review and Synthesis summarizes the basics of information theoretic methods in econometrics and the connecting theme among these methods. The sub-class of methods that treat the observed sample moments as stochastic is discussed in greater details. I Information and Entropy Econometrics - A Review and Synthesis -focuses on inter-connection between information theory, estimation and inference. -provides a detailed survey of information theoretic concepts and quantities used within econometrics and then show how these quantities are used within IEE. -pays special attention for the interpretation of these quantities and for describing the relationships between information theoretic estimators and traditional estimators. Readers need a basic knowledge of econometrics, but do not need prior knowledge of information theory. The survey is self contained and interested readers can replicate all results and examples provided. Whenever necessary the readers are referred to the relevant literature. Information and Entropy Econometrics - A Review and Synthesis will benefit researchers looking for a concise introduction to the basics of IEE and to acquire the basic tools necessary for using and understanding these methods. Applied researchers can use the book to learn improved new methods, and applications for extracting information from noisy and limited data and for learning from these data.

Author: Kofi Kissi Dompere
Publisher: Springer
ISBN: 3030181596
Category : Technology & Engineering
Languages : en
Pages : 247

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Book Description
This book presents an epistemic framework for dealing with information-knowledge and certainty-uncertainty problems within the space of quality-quantity dualities. It bridges between theoretical concepts of entropy and entropy measurements, proposing the concept and measurement of fuzzy-stochastic entropy that is applicable to all areas of knowing under human cognitive limitations over the epistemological space. The book builds on two previous monographs by the same author concerning theories of info-statics and info-dynamics, to deal with identification and transformation problems respectively. The theoretical framework is developed by using the toolboxes such as those of the principle of opposites, systems of actual-potential polarities and negative-positive dualities, under different cost-benefit time-structures. The category theory and the fuzzy paradigm of thought, under methodological constructionism-reductionism duality, are used in the fuzzy-stochastic and cost-benefit spaces to point to directions of global application in knowing, knowledge and decision-choice actions. Thus, the book is concerned with a general theory of entropy, showing how the fuzzy paradigm of thought is developed to deal with the problems of qualitative-quantitative uncertainties over the fuzzy-stochastic space, which will be applicable to conditions of soft-hard data, fact, evidence and knowledge over the spaces of problem-solution dualities, decision-choice actions in sciences, non-sciences, engineering and planning sciences to abstract acceptable information-knowledge elements.

Author: Robert M. Gray
Publisher: Springer Science & Business Media
ISBN: 1475739826
Category : Computers
Languages : en
Pages : 346

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Book Description
This book is devoted to the theory of probabilistic information measures and their application to coding theorems for information sources and noisy channels. The eventual goal is a general development of Shannon's mathematical theory of communication, but much of the space is devoted to the tools and methods required to prove the Shannon coding theorems. These tools form an area common to ergodic theory and information theory and comprise several quantitative notions of the information in random variables, random processes, and dynamical systems. Examples are entropy, mutual information, conditional entropy, conditional information, and discrimination or relative entropy, along with the limiting normalized versions of these quantities such as entropy rate and information rate. Much of the book is concerned with their properties, especially the long term asymptotic behavior of sample information and expected information. This is the only up-to-date treatment of traditional information theory emphasizing ergodic theory.

Author: Guy Jumarie
Publisher: Springer Science & Business Media
ISBN: 9401594961
Category : Computers
Languages : en
Pages : 287

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Book Description
Every thought is a throw of dice. Stephane Mallarme This book is the last one of a trilogy which reports a part of our research work over nearly thirty years (we discard our non-conventional results in automatic control theory and applications on the one hand, and fuzzy sets on the other), and its main key words are Information Theory, Entropy, Maximum Entropy Principle, Linguistics, Thermodynamics, Quantum Mechanics, Fractals, Fractional Brownian Motion, Stochastic Differential Equations of Order n, Stochastic Optimal Control, Computer Vision. Our obsession has been always the same: Shannon's information theory should play a basic role in the foundations of sciences, but subject to the condition that it be suitably generalized to allow us to deal with problems which are not necessarily related to communication engineering. With this objective in mind, two questions are of utmost importance: (i) How can we introduce meaning or significance of information in Shannon's information theory? (ii) How can we define and/or measure the amount of information involved in a form or a pattern without using a probabilistic scheme? It is obligatory to find suitable answers to these problems if we want to apply Shannon's theory to science with some chance of success. For instance, its use in biology has been very disappointing, for the very reason that the meaning of information is there of basic importance, and is not involved in this approach.

Author: David H. Bailey
Publisher: Springer Nature
ISBN: 3030365689
Category : Mathematics
Languages : en
Pages : 447

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Book Description
Students and researchers from all fields of mathematics are invited to read and treasure this special Proceedings. A conference was held 25 –29 September 2017 at Noah’s On the Beach, Newcastle, Australia, to commemorate the life and work of Jonathan M. Borwein, a mathematician extraordinaire whose untimely passing in August 2016 was a sorry loss to mathematics and to so many members of its community, a loss that continues to be keenly felt. A polymath, Jonathan Borwein ranks among the most wide ranging and influential mathematicians of the last 50 years, making significant contributions to an exceptional diversity of areas and substantially expanding the use of the computer as a tool of the research mathematician. The contributions in this commemorative volume probe Dr. Borwein's ongoing legacy in areas where he did some of his most outstanding work: Applied Analysis, Optimization and Convex Functions; Mathematics Education; Financial Mathematics; plus Number Theory, Special Functions and Pi, all tinged by the double prisms of Experimental Mathematics and Visualization, methodologies he championed.