Abstract:
In this paper, a new class of generalized distribution called the Kumaraswamy
Power Lindley (KPL) distribution is proposed and studied. This class of distributions con-
tains the Kumaraswamy Lindley (KL), exponentiated power Lindley (EPL), power Lindley
(PL), generalized or exponentiated Lindley (GL), and Lindley (L) distributions as special
cases. Series expansion of the density is obtained. Statistical properties of this class of
distributions, including hazard function, reverse hazard function, monotonicity property,
shapes, moments, reliability, quantile function, mean deviations, Bonferroni and Lorenz
curves, entropy and Fisher information are derived. Method of maximum likelihood is used
to estimate the parameters of this new class of distributions. Finally, a real data example
is discussed to illustrate the applicability of this class of distribution.
