The applications of integral calculus in socio-economic processes modeling in view of data problems

Olena Iarmosh
PhD, Associate Professor, Department of Management, Ukrainian Engineering Pedagogical Academy, E-mail:elena.iarmosh@gmail.com

Cite this article:

Iarmosh, O. (2015), The applications of integral calculus in socio-economic processes modeling in view of data problems. Ed.: M. Zveryakov (ed.-in-ch.) and others [Zastosuvannia intehralnoho chyslennia v modeliuvanni sotsialno-ekonomichnykh protsesiv z urakhuvanniam problemy danykh; za red.: М. I. Zveriakova (gol. red.) ta in.], Socio-economic research bulletin (ISSN 2313-4569), Odessa National Economic University, Odessa, Issue 1, No. 56, pp. 281–287.

Abstract

The various data problems arising in the modeling of processes in the economy and the social sphere, in particular inaccuracy, information asymmetry, low adequacy of statistical and experimental data are analyzed and summarized in the article. Approaches that can reduce the impact of these problems on the quality of the simulation results such as using of formal approaches, estimate of probability of every sources, using of stochastic modeling tools and modern information technologies normalization of multi criteria are given. The possibility of transition from disparate data to comparable, from discrete to continuous, so you can use traditional mathematical tools, as well as differential and integral calculus is noted. The prospect of such sections integral calculus, as double and curvilinear integrals in modeling social and economic processes is substantiated; examples of integral calculus applied for investment processes, the theory marginal functions, average values are given. The application of integral calculus to modeling social and economic processes that can be represented graphically is proposed.

Keywords

simulation of social and economic processes; the problem of data; data types; the economic meaning of the integral; double integral; curvilinear integral.

JEL classification: P200; C510; C800

UD classification: 330.4:517.3

References

1. Mihalevich, M. V., Sergiyenko, I. V. (2005), «Modelling of transition economy: The models, methods, information technology: monograph» [Modelirovanie perehodnoy ekonomiki: modeli, metody, informatsionnye tekhnologii: monografiia], Naukova dumka, Kyiv, 671 p. (rus)
2. Ponomarenko, O. I., Perestyuk, M. O., Burym, V. M. (2004), Modern economic analysis. Part 1. Microeconomics [Suchasnyi ekonomichnyi analiz. Mikroekonomika], Vyshcha shkola, Kyiv, 262 p. (ukr)
3. Ponomarenko, O. I., Perestyuk, M. O., Burym, V. M. (2004), Modern economic analysis. Part 2. Macroeconomics [Suchasnyi ekonomichnyi analiz. Makroekonomika], Vyshcha shkola, Kyiv, 207 p. (ukr)
4. Malyarets, L. M., Afanasyeva, L. M., Ignachkova, A. V. (2011), Mathematics for Economists. Higher Mathematics for Economists. Part 2 [Matematyka dlia ekonomistiv. Vyshcha matematyka dlia ekonomistiv], KhNEU, Kharkiv, 368 p. (ukr)
5. Ahtyamov, A. M. (2008), Mathematics for sociologists and economists [Matematika dlya sotsiologov i ekonomistov], Fizmatlit, Moscow, 464 p. (rus)
6. Ordynska, Z. P., Repa, L. A. (2014), Mathematics for economists [Matematyka dlia ekonomistiv], NTUU «KPI», Kyiv, 226 p. (ukr)
7. Pryymak, V. I. (2009), Mathematical Methods of Economic Analysis [Matematychni metody ekonomichnoho analizu], Tsentr uchbovoi literatury, Kyiv, 296 p. (ukr)
8. Tevyashev, A. D., Lytvyn, O. H. (2008), Higher Mathematics in the examples and problems. General Course [Vyshcha matematyka u prykladakh ta zadachakh. Zahalnyi kurs], KhNURE, Kharkiv, 436 p. (ukr)
9. Sobolev, S. K. (2008) Double integrals [Dvoynye integraly], Bauman MGTU, Moscow, available at: http://wwwcdl.bmstu.ru/fn1/DoubInt.pdf (rus)