The beta exponentiated Lindley distribution

Abstract

In this work, we study the beta exponentiated Lindley distribution which includes as special cases several models such as the Lindley, exponentiated Lindley and beta Lindley distributions. Some structural properties of the proposed distribution are studied including expressions for the moments. The estimation of parameters using the methods of moments and maximum likelihood is also discussed. The flexibility of this distribution is illustrated in an application to a real data set.

Keywords

• Akaike information criterion; beta distribution; Lindley distribution; maximum likelihood estima- tion; moments