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ADVANCED METHODS FOR NON-LINEAR REGRESSION …

275 | P a g e ADVANCED METHODS FOR NON-LINEAR REGRESSION MODELS IN MATHEMATICS AND STATISTICS , , , reddy4 1,2 Research Scholars, 4 Rtd. Professor, Dept. of Mathematics, 3 Rtd. Professor, Dept. of Statistics, University, Tirupati, Andhra Pradesh. (India) ABSTRACT The problem of selecting the best NON-LINEAR REGRESSION model has long been of interest to mathematicians and statisticians. In the process of choosing models, statisticians have developed a variety of diagnostic tests. These tests have been classified into two categories namely (i) Tests of Nested REGRESSION models and (ii) Tests of Non-Nested REGRESSION models. In the present research article, a simple criterion for selecting non-nested linear REGRESSION model has been proposed by using two stage least squares estimators. I. INTRODUCTION Model refers to a set of functional or structural relationships between two or more characteristics. These characteristics may be either measuremental or non measuremental in nature.

The various mathematical methods in the numerical analysis can be applied to study the inferential aspects of estimators for the parameters in the nonlinear regression models. Some of the inferential questions with regard

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