The Iterative Procedure of Statistical Evaluation the Parameters of the Tornkwist Function (2 th Equation)

Authors

  • Alexander Nickolaevich Tsatsulin Северо-Западный институт управления - филиал РАНХиГС , North-West Institute of Management - branch of the Russian President Academy of National Economy and Public Administration Автор

Keywords:

approximation approach, linear form, regression equation, probabilistic distribution, the Tornkwist functions, maximum-likelihood method, least-squares method, normal equations set

Abstract

Article reviews the analysis of conditions, peculiarities and application technics of step-by-step method of iteration to the equations simple regression, which are not reduced to any linear forms of their own parameters and variables. Such practical task is arises sufficientl y ofte n durin g the investigation of class of The Tornkwist functions. Particularly, the 2th equation of this class successfully describes familily’s cost for the purchase of relatively expensive tourist products for foreign travels. The method of progressive approximation regards the plotting of the normal equations set with application of process Jordan-Gauß and the expansion into the Taylor’s infinite series of the function of the corrections for parameters of the desired equation. The amendments itself are allowing to calculate the parameters of The Tornkwist functions (2th equation) and accomplish the forecast estimations of budget charges for purchase of the expensive tourist’s products.

Published

2014-11-15

Issue

Section

Articles