Scale Mixture of Akash Distribution with Applications to Income Data

Abstract

In this paper, the scale mixture of Akash (SMAK) distribution is introduced. This new distribution results from a scale mixture of the Akash distribution and the exponential distribution. The SMAK distribution is an alternative to two-parameter distributions with a heavy right tail. We study its representation, some basic properties, and maximum likelihood inference. We carry out three applications with real data, in which the SMAK distribution exhibits better performance than other distributions.