Selection for Parameter  by Using Newton-Raphson Method

Abstract

Many problems in mathematics or statistics involve, at some point or another, solving an equation for an unknown quantity. To solve the problem many of methods are applied as such Maximum Likelihood Method, Least Square Method and Newton-Raphson Method and much more. One of the famous methods is Newton Method. The Newton-Raphson method or Newton–Fourier method is an efficient algorithm for finding approximations to the zeros (or roots) of a real-valued function. As such, it is an example of a root-finding algorithm. It can also be used to find a minimum or maximum value of such a function, by finding a zero in the function's first derivative. In this paper, we will work with Newton-Raphson method to estimate the value of for the use of transformation. The value of , determine the kind of transformation should be done according to the data. These papers emphasize the Newton Method in finding the value of by using C++ software.