Generalized Stacy-Lindley mixture distribution

Abstract

In this paper, we introduce a five parameter extension of mixture of two Stacy gamma distributions called generalized Stacy- Lindley mixture distribution. Several statistical properties are derived. Two types of estimation techniques are used for estimating the parameters. Asymptotic confidence interval is also calculated for these parameters. Finally, a real data application illustrates the performance of our proposed distribution.

Keywords: Lindley distribution; Stacy gamma distribution; Inequality measures; Uncertainty measures; Maximum likelihood estimation; Asymptotic confidence interval