Generalized Lambda Distribution and Estimation Parameters

Abstract

Generalized lambda distribution (GLD) is a very useful mean to testing and fitting of data to well known distributions. Since the GLD is defined by its quantile function, it can provide a simple and effective algorithm for generating random variates. In this thesis we study the defection of GLD and plotting the function. The purpose of this thesis is to estimate the four parameters of the GLD by using three methods, the method of moments, the method of least squares and percentiles method. Numerical examples were used to estimate the parameters of the GLD. Finally we applied one method on real data.