Statistical Analysis of Current Financial Instrument Quotes in the Conditions of Market Chaos

In this paper, the problem of estimating the current value of financial instruments using multidimensional statistical analysis is considered. The research considers various approaches to constructing regression computational schemes using quotes of financial instruments correlated to the data as re...

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Main Authors: Alexander Musaev, Andrey Makshanov, Dmitry Grigoriev
Format: Article
Language:English
Published: MDPI AG 2022-02-01
Series:Mathematics
Subjects:
Online Access:https://www.mdpi.com/2227-7390/10/4/587
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author Alexander Musaev
Andrey Makshanov
Dmitry Grigoriev
author_facet Alexander Musaev
Andrey Makshanov
Dmitry Grigoriev
author_sort Alexander Musaev
collection DOAJ
description In this paper, the problem of estimating the current value of financial instruments using multidimensional statistical analysis is considered. The research considers various approaches to constructing regression computational schemes using quotes of financial instruments correlated to the data as regressors. An essential feature of the problem is the chaotic nature of its observation series, which is due to the instability of the probabilistic structure of the initial data. These conditions invalidate the constraints under which traditional statistical estimates remain non-biased and effective. Violation of experiment repeatability requirements obstructs the use of the conventional data averaging approach. In this case, numeric experiments become the main method for investigating the efficiency of forecasting and analysis algorithms of observation series. The empirical approach does not provide guaranteed results. However, it can be used to build sufficiently effective rational strategies for managing trading operations.
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spelling doaj.art-6dd886386bf545edbcc6eb3706b88cfc2023-11-23T20:57:03ZengMDPI AGMathematics2227-73902022-02-0110458710.3390/math10040587Statistical Analysis of Current Financial Instrument Quotes in the Conditions of Market ChaosAlexander Musaev0Andrey Makshanov1Dmitry Grigoriev2Saint-Petersburg State Institute of Technology, Technical University, St. Petersburg Institute for Informatics and Automation of the Russian Academy of Sciences, 190013 St. Petersburg, RussiaDepartment of Computing Systems and Computer Science, Admiral Makarov State University of Maritime and Inland Shipping, 198035 St. Petersburg, RussiaCenter of Econometrics and Business Analytics (CEBA), St. Petersburg State University, 199034 St. Petersburg, RussiaIn this paper, the problem of estimating the current value of financial instruments using multidimensional statistical analysis is considered. The research considers various approaches to constructing regression computational schemes using quotes of financial instruments correlated to the data as regressors. An essential feature of the problem is the chaotic nature of its observation series, which is due to the instability of the probabilistic structure of the initial data. These conditions invalidate the constraints under which traditional statistical estimates remain non-biased and effective. Violation of experiment repeatability requirements obstructs the use of the conventional data averaging approach. In this case, numeric experiments become the main method for investigating the efficiency of forecasting and analysis algorithms of observation series. The empirical approach does not provide guaranteed results. However, it can be used to build sufficiently effective rational strategies for managing trading operations.https://www.mdpi.com/2227-7390/10/4/587stochastic chaosmultidimensional statistical analysismulti-regression estimationsliding observation windowasset management
spellingShingle Alexander Musaev
Andrey Makshanov
Dmitry Grigoriev
Statistical Analysis of Current Financial Instrument Quotes in the Conditions of Market Chaos
Mathematics
stochastic chaos
multidimensional statistical analysis
multi-regression estimation
sliding observation window
asset management
title Statistical Analysis of Current Financial Instrument Quotes in the Conditions of Market Chaos
title_full Statistical Analysis of Current Financial Instrument Quotes in the Conditions of Market Chaos
title_fullStr Statistical Analysis of Current Financial Instrument Quotes in the Conditions of Market Chaos
title_full_unstemmed Statistical Analysis of Current Financial Instrument Quotes in the Conditions of Market Chaos
title_short Statistical Analysis of Current Financial Instrument Quotes in the Conditions of Market Chaos
title_sort statistical analysis of current financial instrument quotes in the conditions of market chaos
topic stochastic chaos
multidimensional statistical analysis
multi-regression estimation
sliding observation window
asset management
url https://www.mdpi.com/2227-7390/10/4/587
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