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Testing hypothesis on degree distribution in the market graph
P. 205–214 .
Koldanov P.A., Larushina J.D.
Current approaches to testing hypotheses on degree distribution of the market graph and of identifying power law in data are discussed, main drawbacks of these approaches are identified and ways to overcome them are provided. Brief summary on methodology used is given and main aspects are highlighted. Discussed methodology is applied to testing hypotheses on degree distribution of multiple market graphs and results obtained are presented. It is shown that more stable market research techniques question presence of power law in degree distribution.
In book
Vol. 197. , Springer, 2017.
Koldanov P., Alexander Koldanov, Semenov D., Operations Research Forum 2024 Vol. 5 Article 116
The issue of identifying sets of weakly correlated stocks is explored. Four distinct
methods for constructing these sets are compared: the traditional approach using
Pearson correlation, the traditional approach using Kendall correlation, and multi
ple hypothesis testing methods, which apply both Pearson and Kendall correlations.
To derive specific findings, we analyze daily returns of a selection of stocks listed ...
Added: December 14, 2024
Koldanov A. P., Koldanov P., Semenov D., Журнал Новой экономической ассоциации 2025 № 1(66) С. 54–74
The problem of connections’ analysis between the stock returns is considered. The connections are measured by traditional Pearson correlation as well as rank Kendall correlation. Different measures of uncertainty conclusions on connections in the stock markets based on separation of the conclusions by significant and admissible are proposed. The proposed measures of uncertainty include the ...
Added: December 3, 2024
Shapoval S., Shapoval B., Shnirman M. G., Scientific Reports 2021 Vol. 11 Article 18151
A cellular automaton constructed by Bak, Tang, and Wiesenfeld (BTW) in 1987 to explain the 1/f noise was recognized by the community for the theoretical foundations of self-organized criticality (SOC). Their conceptual work gave rise to various scientific areas in statistical physics, mathematics, and applied fields. The BTW core principles are based on steady slow loading ...
Added: September 28, 2021
Koldanov A. P., Koldanov P., Semenov D., Журнал Новой экономической ассоциации 2021 Т. 2 № 50 С. 12–34
. The problem of analysis of pairwise connections between stocks of financial market by observations on stock returns is considered. Such problem arise in stock market network analysis. It is assumed that joint distribution of stock returns belongs to the wide class of elliptical distributions. Classical Pearson correlation, Fechner correlation and Kendall correlation are used ...
Added: June 17, 2021
Dmitriev A., Kornilov V., , in: Journal of Physics: Conference SeriesVol. 1298. Issue 1.: Institute of Physics Publishing (IOP), 2019. P. 012009-1–012009-5.
A new model of a stock market as a nonlinear random dynamical system with additive noise in three-dimensional phase space is offered. Implementations of this model in the adiabatic approximation possess all the key signs of fractal market, making the model a reasonable evolutionary model for a stock market. The use of adiabatic approximation allows ...
Added: October 29, 2019
Gromov V., Migrina A., Complexity 2017 Vol. 2017 No. Article ID 9212538 P. 1–7
A natural language (represented by texts generated by native speakers) is considered as a complex system, and the type thereof to which natural languages belong is ascertained. Namely, the authors hypothesize that a language is a self-organized critical system and that the texts of a language are “avalanches” flowing down its word cooccurrence graph. The ...
Added: September 27, 2018
Грицевич М. И., Кузнецова Д. В., Турчак Л. И. et al., Doklady Physics 2016 Vol. 61 No. 6 P. 305–308
An approach to the estimation of the initial shape of a meteoroid based on the statistical distributions of masses of its recovered fragments is presented. The fragment distribution function is used to determine the corresponding scaling index of the power law with exponential cutoff. The scaling index is related empirically to the shape parameter of ...
Added: December 29, 2017
Latyshev A., Koldanov P., , in: Models, Algorithms, and Technologies for Network Analysis / From the 4th International Conference on Network Analysis.: NY: Springer, 2016. P. 175–182.
The connection between the sign correlation of Fechner and the classic Pearson correlation is studied. The sign correlation is linearly connected with the probability of the coincidence of the signs of random variables. One of the features of this measure is its simplicity. Therefore it can be used as an alternative measure of similarity between ...
Added: December 13, 2015
Katchanov Y. L., SpringerPlus 2015 Vol. 4 No. 1 P. eid 677
The paper is written with the assumption that the purpose of a mathematical theory of citation is to explain bibliometric regularities at the level of mathematical formalism. A mathematical formalism is proposed for the appearance of power law distributions in social citation systems. The principal contributions of this paper are an axiomatic characterization of citation ...
Added: November 6, 2015
Casault S., Groen A. J., Linton J. D., Science and Public Policy 2013 Vol. 40 No. 2 P. 219–228
This paper provides an improved model, based on historical data, that describes the returns on assets that result from R&D efforts to assist managers of public and private R&D activities. Such a model may lead to better decision support tools to monetize the value that may be extracted from R&D, which is otherwise often undervalued. ...
Added: October 19, 2015
Casault S., Groen A. J., Linton J. D., New Biotechnology 2014 Vol. 31 No. 2 P. 172–178
This paper presents work toward improving the efficacy of financial models that describe the unique nature of biotechnology firms. We show that using a ‘thick tailed’ power law distribution to describe the behavior of the value of biotechnology R&D used in a Real Options Pricing model is significantly more accurate than the traditionally used Gaussian ...
Added: October 19, 2015
Kalyagin V. A., Pardalos P. M., Rassias T., Springer, 2014.
Using network models to investigate the interconnectivity in modern economic systems allows researchers to better understand and explain some economic phenomena. This volume presents contributions by known experts and active researchers in economic and financial network modeling. Readers are provided with an understanding of the latest advances in network analysis as applied to economics, finance, ...
Added: July 15, 2014