Generalized Lindley Distribution
Abstract
In this paper, we introduce a three{parameter generaliza-
tion of the Lindley distribution. This includes as special cases the expo-
nential and gamma distributions. The distribution exhibits decreasing,
increasing and bathtub hazard rate depending on its parameters. We
study various properties of the new distribution and provide numerical
examples to show the °exibility of the model. We also derive a bivariate
version of the proposed distribution.
tion of the Lindley distribution. This includes as special cases the expo-
nential and gamma distributions. The distribution exhibits decreasing,
increasing and bathtub hazard rate depending on its parameters. We
study various properties of the new distribution and provide numerical
examples to show the °exibility of the model. We also derive a bivariate
version of the proposed distribution.
Keywords
Gamma distribution, lifetime data, Lindley
distribution, mixture, weibull model.
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