Metric analysis, properties and applications as a tool for forecasting

Abstract

One of primary goals of data processing is the problem of forecasting of investigated function values. Different methods and schemes for solving forecasting problems are developed and in use [1, 2, 4, 8, 11]. In this paper it is used the method, named by authors metric analysis. New forecasting algorithms are developed based on metric analysis [5-7, 9, 10]. It is shown that the metric analysis solves the problem of forecasting of functional values with high accuracy.

Extrapolation of Functions of Many Variables by Means of Metric Analysis

“…The problem of finding the extrapolated value Y n+1 is reduced to the problem of interpolation of functions of several variables by means of a nonlinear autoregressive model [3,4]:…”

“…In the presented paper, the method of a function of many variables extrapolation, developed by us, uses the interpolation scheme of metric analysis. Below is a brief description of the metric analysis of interpolation of the values of functions of several variables and its application [3].…”

Mathematical model comparing of the multi-level economics systems

“…To solve the problems of the forecasting of the particular indicators, the methods of the metric analysis [12][13][14][15] ,..., 1 , ,.., 1 ,   are the particular first-level indicators that are included in the j-th integral index of the second level, and in the j-th integral index of the third level, respectively (see [1,2]). …”

“…To solve the problems of the forecasting of the particular first-level indicators, the methods of the metric analysis [12][13][14][15] can be used.…”