Intelligent System of Estimation of Total Factor Productivity (TFP) and Investment Efficiency in the Economy with External Technology Gaps

Abstract

This paper is the first to propose an aggregate S-trend factor production function to estimate total factor productivity (TFP) and investment efficiency in an economy. This function implements Charles R. Hulten's organizing principle: to what extent the growth of the economy is due to an increase in "productivity" (progress in technology and organization of production) and to what extent to "capital formation" (increased investment in human capital, knowledge and fixed capital). Estimation of future members of the series is usually done by a forecast model. It is a model that approximates a trend. The Verhulst's S-curve is used as the approximation function. Here A, B ,a are the parameters that change the shape of the S-curve, u, m are the parameters that change the position of the S-curve in the first quarter, t≥0. By aggregate S-trend production function we mean a two factor production function of the form z(t)= Here the function It represents the growth of the economy, which is by raw data and takes into account all influencing factors, and is certainly broader than the concept of " capital formation ", is a total factor productivity TFP. The error of approximation is quantitatively measured by the MAPE criterion.