New Extended Generalized Lindley Distribution: Properties and Applications

Abstract

In this paper, we introduce a new extended generalized Lindley distribution ($NEGLD$). Some statistical properties of the proposed distribution are explicitly derived. These include conditional moments, vitality function, geometric vitality function, mean inactivity time and various entropy measures. Maximum likelihood estimation, moment estimation and asymptotic confidence interval are used for estimating the parameters. The distribution has been fitted to a data set to test its goodness of fit and it has been found that this distribution gives better fit than the some other well-known existing distributions.

Keywords

• Lindley distribution
• Mathai-Haubold entropy
• Maximum likelihood estimation
• Asymptotic confidence interval
• Likelihood ratio test