Application of Newton Raphson Algorithm as a Numerical Method in Maximum Likelihood Estimation

Newton's method, which is also known as the Newton Raphson algorithm, as one of the most efficient numerical methods in mathematics, are known as a method and approach for the root approximation of nonlinear equations. After reviewing and interpretation of this method, one of the most widely used in the statistics, i.e. estimation of the unknown parameters by maximum likelihood method is presented in this paper. To facilitate the transfer of concepts, the article includes several different numerical examples and computer programs.