Modification on Two Parameters Kappa with Methods of Estimation

Rafid I. Ahmed

Abstract: This paper deals with transforming two parameters Kappa (,) into three parameters Kappa (, ,) using exponential of given CDF of Kappa by a new parameter () then the new generated three parameters Kappa is obtained, also its cumulative distribution function (CDF), and then the derivation of rth moment formula about origin is also derived after application of certain formulas of integral, and then we derive the formulas for maximum likelihood estimators of three parameters (, ,), all the derivation required are explain.

Keywords: Modified three parameters Kappa, Moments estimators, Maximum likelihood Estimators