Comparison of Weibull and Fréchet distributions estimators to determine the best areas of rainfall in Iraq

Abstract

In this research, an appropriate distribution of the amount of rain will be found in the Iraqi governorates for the period (2006-2014) and the researcher used two important distributions, namely, the Weibull distribution and the Fréchet distribution.
Where the specific distribution was determined based on the minimum criteria (the criteria of goodness of fit) and the tests used are the Akaike Information Criterion (AIC) and the Bayesian Information Criterion (BIC). Rainfall in the Iraqi governorates for the stations (Mosul, Kirkuk, Tikrit, Khanaqin, Rutba, Baghdad, Karbala) is a Weibull distribution using the greatest possible estimation method, while the stations in other provinces (Najaf, Diwaniyah, Maysan, Basra) the Fréchet distribution was the distribution It is better to represent the data of these stations using the method of estimating the greatest possible as well. We also note the superiority of the method of maximum likelihood of least squares.