scholarly journals The Statistical Foundations of Entropy

Entropy ◽  
2021 ◽  
Vol 23 (10) ◽  
pp. 1367
Author(s):  
Petr Jizba ◽  
Jan Korbel

During the last few decades, the notion of entropy has become omnipresent in many scientific disciplines, ranging from traditional applications in statistical physics and chemistry, information theory, and statistical estimation to more recent applications in biology, astrophysics, geology, financial markets, or social networks[...]

Mathematics ◽  
2021 ◽  
Vol 9 (4) ◽  
pp. 438
Author(s):  
Viliam Ďuriš ◽  
Renáta Bartková ◽  
Anna Tirpáková

The probability theory using fuzzy random variables has applications in several scientific disciplines. These are mainly technical in scope, such as in the automotive industry and in consumer electronics, for example, in washing machines, televisions, and microwaves. The theory is gradually entering the domain of finance where people work with incomplete data. We often find that events in the financial markets cannot be described precisely, and this is where we can use fuzzy random variables. By proving the validity of the theorem on extreme values of fuzzy quantum space in our article, we see possible applications for estimating financial risks with incomplete data.


Author(s):  
Daniela Gîfu ◽  
Mirela Teodorescu

The scientists as Bateson, Watzlawick expresses the determining role of interaction in the axiom of the “impossibility of not communicating”. All behavior (verbal and nonverbal) occurring between persons who are conscious of each other's presence has behavioural effects, whether intended or not. Such effects have interpersonal message value, and thus are communicative in nature. Since it is impossible for humans not to behave in one way or another, it follows that in interaction it is impossible not to communicate (Bateson, 1963; Watzlawick et al., 1967). Communication theory is relatively new as science and interacts with the other disciplines of sciences. During its development some of the notions were used that were already committed and comprehensive. This article aims to present some of them. Terms as system, input, output, feedback, entropy specific to scientific disciplines as systems theory, cybernetics, information theory, physics, are especially used in communication theory.


2020 ◽  
pp. 81-112
Author(s):  
Bryan C. Daniels

From neurons to insects to societies, across biology we see impressive feats of collective information processing. What strategies do these systems use to perform useful computations? Moving toward an answer to this question, this chapter focuses on common challenges in inferring models of complicated distributed systems and how the perspective of information theory and statistical physics is useful for understanding collective behavior.


2020 ◽  
Vol 66 (12) ◽  
pp. 5608-5622 ◽  
Author(s):  
Jose Apesteguia ◽  
Jörg Oechssler ◽  
Simon Weidenholzer

Copy trading allows traders in social networks to receive information on the success of other agents in financial markets and to directly copy their trades. Internet platforms like eToro, ZuluTrade, and Tradeo have attracted millions of users in recent years. The present paper studies the implications of copy trading for the risk taking of investors. Implementing a novel experimental financial asset market, we show that providing information on the success of others leads to a significant increase in risk taking of subjects. This increase in risk taking is even larger when subjects are provided with the option to directly copy others. We conclude that copy trading leads to excessive risk taking. This paper was accepted by Axel Ockenfels, decision analysis.


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