A REVIEW ON THE LINDLEY FAMILY OF DISTRIBUTIONS

Abstract

The Lindley distribution is one of the statistical distributions widely used in modeling real lifetime data, but notably due to the monotonic property of the hazard rate function, the distribution fails to provide good fit for certain data set of interest. In order to address this situation, researchers have keenly been attracted to the act of developing generalized distributions with the aim of
increasing the flexibility of the classical Lindley distribution. This paper presents a review on some methods of developing new generalization of lifetime distributions, in particular, the Lindley family of distributions. The applicability  of some well-known generalized Lindley distributions is illustrated using a real data set, and the Maximized log-likelihood (Log-Lik), Akaike information
criterion (AIC), Kolmogorov-Smirnov (K-S) test Statistic, Anderson Darling (A*) test Statistic, Crammer von mises (W*) test Statistic and Probability-Probability (P-P) plots were used as criteria for comparison