Abstract
Two approaches are most frequently used to predict the development of cryptocurrency market: deterministic and stochastic. The deterministic approach seeks to explain the development of cryptocurrencies through the relationship of several indicators. A stochastic approach (such as ARIMA) seeks to optimize the parameters of a statistical model. This article aims to compare approaches to the assessing cryptocurrencies development using the number of active Bitcoin and Ethereum wallets. For this purpose, a deterministic model based on the Verhulst equation, and a stochastic model based on ARIMA was formulated. The results show that the usage of relative differences wins over absolute ones. At the same time, the predictive value of a purely deterministic model on short segments is not very high, but it has the advantage in analytical form. Further will focus on the combination of a deterministic Bass-type model and statistical methods with stochastic analysis tools.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Bitcoin Active Addresses historical chart. https://bitinfocharts.com/comparison/bitcoin-activeaddresses.html. Accessed 13 Mar 2021
Box, G.E.P., Jenkins, G.M.: Time Series Analysis: Forecasting and Control, 575 p. Holden-Day, San Francisco (1970)
Christodoulos, C., Michalakelis, C., Varoutas, D.: Forecasting with limited data: combining ARIMA and diffusion models. Technol. Forecast. Soc. Change 77(4), 558–565 (2010)
Dipple, S., Choudhary, A., Flamino, J., Szymanski, B.K., Korniss, G.: Using correlated stochastic differential equations to forecast cryptocurrency rates and social media activities. Appl. Netw. Sci. 5(1), 1–30 (2020). https://doi.org/10.1007/s41109-020-00259-1
Dogecoin Active Addresses historical chart. Homepage https://bitinfocharts.com/comparison/activeaddresses-doge.html
Dostov, V., Shoust, P., Popova, E.: Using mathematical models to describe the dynamics of the spread of traditional and cryptocurrency payment systems. In: Misra, S., et al. (eds.) ICCSA 2019. LNCS, vol. 11620, pp. 457–471. Springer, Cham (2019). https://doi.org/10.1007/978-3-030-24296-1_36
Elon Musk’s Bitcoin Fun Continues. Bloomberg. https://www.bloomberg.com/opinion/articles/2021-05-17/elon-musk-controls-bitcoin-and-dogecoin-prices-with-pure-magic
Four Different Types of Services. Homepage https://localfirstbank.com/content/different-types-of-banking-services/. Accessed 10 Mar 2021
Fuller W. A.: Introduction to Statistical Time Series. Wiley (2009)
Genkin, A., Micheev, A.: Blockchain. How it Works and What Awaits Us Tomorrow, 592 p. Alpina Publisher (2018)
Kantorovich, G.G.: Time series analysis. HSE Econ. J. 2020(1), 85–116 (2006)
Kwiatkowski, D., Phillips, P.C.B., Schmidt, P., Shin, Y.: Testing the null hypothesis of stationarity against the alternative of a unit root. J. Econometrics 54(1–3), 159–178 (1992)
Laffont, J.-J.: Regulation and Development, 440 p. Cambridge University Press (2005)
Recherches mathématiques sur la loi d’accroissement de la population, dans Nouveaux Mémoires de l'Académie Royale des Sciences et Belles-Lettres de Bruxelles. 1845. № 18, pp. 1–42
Safiullin, M.R., Abdukaeva, A.A., El’shin, L.A.: Methodological approaches to forecasting dynamics of cryptocurrencies exchange rate using stochastic analysis tools (on the example of bitcoin). Finan. Theor. Pract. 22(4), 38–51 (2018). https://doi.org/10.26794/2587-5671-2018-22-4-38-51
Takako, F.-G.: Non-cooperative Game Theory, 260 p. Springer, Japan (2015). https://doi.org/10.1007/978-4-431-55645-9
The annual cryptocurrency market review: what’s left after the hype. Bitnews Today (2019). https://bitnewstoday.com/news/the-annual-cryptocurrency-market-review-what-s-left-after-the-hype. Accessed 19 Mar 2021
The Bass Model Homepage. http://bassbasement.org/BassModel/Default.aspx. Accessed 15 Mar 2021
Wirawan, I.M., Widiyaningtyas, T., Hasan, M.M.: Short Term prediction on bitcoin price using ARIMA method. In: International Seminar on Application for Technology of Information and Communication (iSemantic), Semarang, Indonesia, pp. 260–265 (2019). https://doi.org/10.1109/ISEMANTIC.2019.8884257
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2021 Springer Nature Switzerland AG
About this paper
Cite this paper
Dostov, V., Pimenov, P., Shoust, P. (2021). Comparison of Deterministic, Stochastic, and Mixed Approaches to Cryptocurrency Dynamics Analysis. In: Gervasi, O., et al. Computational Science and Its Applications – ICCSA 2021. ICCSA 2021. Lecture Notes in Computer Science(), vol 12952. Springer, Cham. https://doi.org/10.1007/978-3-030-86973-1_2
Download citation
DOI: https://doi.org/10.1007/978-3-030-86973-1_2
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-030-86972-4
Online ISBN: 978-3-030-86973-1
eBook Packages: Computer ScienceComputer Science (R0)