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Our main goal in this article is to present the approaches and examples of three functions in R consist of optim, nleqslv and maxLik function to detect the optimization solution of the estimating function in the regression models. We then compare the results with numerous sample sizes (n=150, 300 and 500), the execution time of R code, as well as Normal Q Q plots of three approaches through some of regression models such as the zeroin ated Binomial (ZIB) regression model, logistic regression model, the zero-in ated Poisson (ZIP) regression model and the zero-in ated Bernoulli (ZIBer) regression model. Finally, we discuss potential research directions in the coming times.

Comparison of Optim, Nleqslv and MaxLik to Estimate Parameters in Some of Regression Models