Open AccessCONSTRUCTION OF ECONOMIC EMPIRICAL FORMULAS BY TABLE DIFFERENCE METHOD
Author(s) -
Olha Vozniak,
Olha Holubnyk
Publication year - 2022
Publication title -
vìsnik odesʹkogo nacìonalʹnogo unìversitetu. ekonomìka
Language(s) - English
Resource type - Journals
eISSN - 2664-696X
pISSN - 2304-0920
DOI - 10.32782/2304-0920/1-91-11
Subject(s) - object (grammar) , function (biology) , set (abstract data type) , value (mathematics) , production (economics) , process (computing) , smoothing , empirical research , field (mathematics) , table (database) , computer science , mathematical economics , mathematics , economics , statistics , artificial intelligence , data mining , macroeconomics , evolutionary biology , pure mathematics , biology , programming language , operating system
The article analyzes the role of mathematical research of economic phenomena and processes. The evolution of scientific research in the field of mathematical economics is considered. It is established that despite the great scientific contribution to the problems of construction and methods of solving economic problems that contain empirical formulas of economic situations, this area requires further research and mathematical description of new economic situations. In the process of studying various issues of science, economics, technology, sociology, pedagogy, it is necessary on the basis of a large amount of research data to identify significant factors that affect the object under study, as well as to establish a form of relationship between different related quantities. When solving such applied problems, there is often a situation when the analytical type of functions, which determines the functional dependence, is unknown, but this function is set tabularly or graphically. The task is to use empirical tables to find the type of function. These formulas are of great practical importance, a well-chosen empirical formula allows not only to approximate the set of experimental data, "smoothing" the value of the value, but also to extrapolate the dependence to other ranges of values. The method of construction of economic empirical formulas by the method of tabular differences is offered. Optimal plans of production processes are constructed with the use of the considered theorems. The method of selected points for determining the parameters of the economic model that describes the production process is proposed. The theorems formulated and proved in the work, on the basis of which empirical functions for economic problems are built, which statistically describe various economic processes, should be used to solve the optimal planning of production processes. The proposed methods of solving logistics problems, ensure the construction of optimal economic plans for production, trade and transport.