A Generalized Power Lindley Distribution with Applications

Gayan Warahena-Liyanage, Mavis Pararai

Abstract


The Exponentiated Power Lindley (EPL) distribution which is an extension of the Power Lindley Distribution is introduced and its properties are explored. This new distribution represents a more flexible model for the lifetime data. Some statistical properties of the proposed distribution including the shapes of the density and hazard rate functions, the moments and moment generating function, skewness and kurtosis are explored. Entropy measures and the distribution of the order statistics are given. The maximum likelihood estimation technique is used to estimate the model parameters and finally an application of the model with a real data set is presented for the illustration of the usefulness of the proposed distribution.

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