Optimized Linear Regression to Compute the Weibull Parameters

What is it about?

An efficient novel formulation for the computation of the Beta and Eta Weibull parameters is introduced. This procedure consists to numerically optimize the errors between the data values and the corresponding regression function values using the least squares method. A numerical example is presented to compare the obtained results and their efficiency in precision and computing time

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Why is it important?

Development of an efficient numerical method to compute the Weibull parameters. Saving more time with respect to the graphical method which needs a costly meticulous representation. Minimization of the errors between the linear regression model in this numerical process and the existing data values.