Choose Best Formula for Lindley Distribution for Modeling of Rainfall Data in Iraq in 2020

Abstract

In this article, we will used vary formulas of Lindley distribution which are two parameter Lindley distribution under mixture parameter p= ( b)/( b+a ) , two parameter Lindley distribution under mixture parameter P=ba/(ba+1 ) , and two parameter Lindley distribution under mixture parameter p= ( b)/( b+a ) by shrinkage negative exponential and negative gamma distribution for fitting rainfall data in Iraq by estimating the parameters of these distribution by using maximum likelihood method and comparing among distributions by using Akaike's test, Bayes Akaike's test , Consistent Bayes Akaike's test, and Hannan-Quinn information Criterion. We concluded that the two parameter Lindley distribution for fitting rainfall data is and two parameter Lindley distribution under mixture parameter p=( b)/( b+a ) by shrinkage negative exponential and negative gamma distribution. There is a high probability of a decrease in the amount of rainfall in Iraq within the framework of the fitting distribution.