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Sergey Yekimov

Publications and source records attributed to Sergey Yekimov.

2 recordsLinked to original sources

Using Fermat-Torricelli points in assessing investment risks

The use of Fermat-Torricelli points can be an effective mathematical tool for analyzing numerical series that have a large variance, a pronounced nonlinear trend, or do not have a normal distribution of a random variable. Linear dependencies are very rare in nature. Smoothing numerical series by constructing Fermat-Torricelli points reduces the influence of the random component on the final result. The presence of a normal distribution of a random variable for numerical series that relate to long time intervals is an exception to the rule rather than an axiom. The external environment (international economic relations, scientific and technological progress, political events) is constantly changing, which in turn, in general, does not give grounds to assert that under these conditions a random variable satisfies the requirements of the Gauss-Markov theorem.

q-fin.RM

The Chebyshev Polynomials Of The First Kind For Analysis Rates Shares Of Enterprises

Chebyshev polynomials of the first kind have long been used to approximate experimental data in solving various technical problems. Within the framework of this study, the dynamics of shares of eight Czech enterprises was analyzed by the Chebyshev polynomial decomposition: CEZ A.S. (CEZP), Colt CZ Group SE (CZG), Erste Bank (ERST), Komercni Banka (BKOM), Moneta Money Bank A.S. (MONET), Photon (PENP), Vienna insurance group (VIGR) in 2021. An investor, when making a decision to purchase a security , is guided largely by an heuristic approach . And variance and correlation are not observed by human senses. The vectors of decomposition of time series of exchange values of securities allow analyzing the dynamics of exchange values of securities more effectively if their dynamics does not correspond to the normal distribution law. The proposed model allows analyzing the dynamics of the exchange value of a securities portfolio without calculating variance and correlation. This model can be useful if the dynamics of the exchange values of securities does not obey, due to certain circumstances, the normal law of distribution.

q-fin.ST