ABSTRACT
In this paper, we have considered different estimation methods of the unknown parameters of a binomial-exponential 2 distribution. First, we briefly describe different methods of estimation such as maximum likelihood, method of moments, percentile based estimation, least squares, method of maximum product of spacings, method of Cramér-von-Mises, methods of Anderson-Darling and right-tail Anderson-Darling, and compare them using extensive simulations studies. Finally, the potentiality of the model is studied using three real data sets related to the total monthly rainfall during April, May and September at São Carlos, Brazil.
Keywords:
binomial-exponential 2; maximum likelihood estimation; Cramér-von-Mises type minimum distance estimators; right-tail Anderson-Darling estimators
