A New Statistical Model for Extreme Values: Properties and Applications

摘要

In this work, a new three parameter extreme value model isde ned and studied. Various structural properties of the pro-posed model are investigated. The new density is expressed asa linear mixture of the Fr echet density. Method of the maxi-mum likelihood is implemented to estimate the model param-eters. Simulations are conducted for di erent sample sizes toexamine the performance of the maximum likelihood estima-tors for the model parameters. The new model is applied to two real data sets to empirically prove its exibility in com- parison to some known models.