Abstract
In this paper, estimation of the parameters of the second-order polynomial regression model was obtained
 when the error is distributed it is distribution long-tailed symmetric because of the presence of outliers and using Maximum Likelihood, and L-Method. simulation is illustrated, and Mean Squared Error (MSE) is used as an evaluation criterion. This research includes six sample sizes (50,60,80,90,100,120) and includes the application of the methods of the medical data representing diabetes.
 
 Paper type Research paper.
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