SOLVING THE ESTIMATION OF THE EQUATION OF THE REGRESSION MODELS WITH RANDOM MEASUREMENT ERROR ON INDEPENDENT VARIABLE BY OPTIMIZATION APPROACH

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BABANEZHAD M.

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Journal: Journal of Operational Research in its Applications Year:2017 | Volume:14 | Issue:3 (54) Page(s): 89-98

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Title

SOLVING THE ESTIMATION OF THE EQUATION OF THE REGRESSION MODELS WITH RANDOM MEASUREMENT ERROR ON INDEPENDENT VARIABLE BY OPTIMIZATION APPROACH

Author(s)

BABANEZHAD M. | Issue Writer Certificate

Keywords

RANDOM ERRORSQ1

LINEAR AND NON-LINEAR REGRESSION MODELSQ1

ESTIMATING EQUATIONSQ1

OPTIMIZATIONQ1

Abstract

Measurements of some variables in statistical analyses are often encountered with RANDOM ERRORS. Therefore, investigating the effects of these errors seems to be important. This event in regression analysis seems to be more necessary because the aim of the fitting a regression model is estimating the effect of an independent variable on a response variable. Then measurements of an independent variable in a regression model are subject to random error, which may affect the parameter estimating processes. In this article, we first investigate how RANDOM ERRORS occur on the measurements of a random variable. Then we show that such an error exist on the measurements of the independent variable which has an impact on the estimating of the parameters, such that it makes the solution of the ESTIMATING EQUATIONS for the estimating of the regression model parameters possible. We also show that with an OPTIMIZATION procedure by solving the ESTIMATING EQUATIONS, the estimation of model parameters can be achieved. Finally, we test the results of the OPTIMIZATION procedure on two practical examples, and we illustrate the effects of ignoring RANDOM ERRORS in estimating model parameters in these two examples.

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APA: Copy

BABANEZHAD, M.. (2017). SOLVING THE ESTIMATION OF THE EQUATION OF THE REGRESSION MODELS WITH RANDOM MEASUREMENT ERROR ON INDEPENDENT VARIABLE BY OPTIMIZATION APPROACH. JOURNAL OF OPERATIONAL RESEARCH AND ITS APPLICATIONS (JOURNAL OF APPLIED MATHEMATICS), 14(3 (54) ), 89-98. SID. https://sid.ir/paper/164641/en

Vancouver: Copy

BABANEZHAD M.. SOLVING THE ESTIMATION OF THE EQUATION OF THE REGRESSION MODELS WITH RANDOM MEASUREMENT ERROR ON INDEPENDENT VARIABLE BY OPTIMIZATION APPROACH. JOURNAL OF OPERATIONAL RESEARCH AND ITS APPLICATIONS (JOURNAL OF APPLIED MATHEMATICS)[Internet]. 2017;14(3 (54) ):89-98. Available from: https://sid.ir/paper/164641/en

IEEE: Copy

M. BABANEZHAD, “SOLVING THE ESTIMATION OF THE EQUATION OF THE REGRESSION MODELS WITH RANDOM MEASUREMENT ERROR ON INDEPENDENT VARIABLE BY OPTIMIZATION APPROACH,” JOURNAL OF OPERATIONAL RESEARCH AND ITS APPLICATIONS (JOURNAL OF APPLIED MATHEMATICS), vol. 14, no. 3 (54) , pp. 89–98, 2017, [Online]. Available: https://sid.ir/paper/164641/en

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