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Abstract
In this paper, a three parameters generalization of the power Lindley distribution is introduced. This includes as special cases the power Lindley and Lindley distribution.The new distribution exhibits decreasing, increasing and bathtub hazard rate depending on its parameters. Several statistical properties of the distribution are explored. Then, a bivariate version of the proposed distribution is derived. Finally, three real data applications illustrate the performance of our proposed distribution.
Keywords
Characterizations
generalized power Lindley distribution
Stacy gamma distribution
hazard rate function
stochastic order
mean resudual life
AIC
BIC
CAIC
HQIC
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Copyright © 2018 Pakistan Journal of Statistics and Operation Research
Creative Commons Attribution 4.0 International (CC BY 4.0)
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How to Cite
Torabi, H., Baghaeipoor, M., Montazeri, N., & Hamedani, G. (2018). A generalized power Lindley distribution: model, properties and applications. Pakistan Journal of Statistics and Operation Research, 14(3), 523-540. https://doi.org/10.18187/pjsor.v14i3.1714