Methods for Estimating the Parameters of the Power Function Distribution

Abstract

In this paper, we present some methods for estimating the parameters of the two parameter Power Function Distribution. We use the Least Squares Method (LSM), Relative Least Squares Method (RLSM) and Ridge Regression Method (RRM). Sampling behavior of the estimates is indicating by a Monte Carlo Simulation. The objective of identifying the best estimator amongst them we use the Total Deviation (TD) and Mean Square Error (MSE) as performance index. We determine the best method for estimation using different values for the parameters and different sample sizes.