A new generalized Lindley distribution

A new generalized Lindley distribution, based on weighted mixture of two gamma distributions, is proposed. This model includes the Lindley, gamma and exponential distributions as and other forms of Lindley distributions as special cases. Lindley distribution based on two gamma with two consecutive s...

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Bibliographic Details
Published in:Journal of statistical computation and simulation 2015-12, Vol.85 (18), p.3662-3678
Main Authors: Abouammoh, A.M., Alshangiti, Arwa M., Ragab, I. E.
Format: Article
Language:English
Subjects:
confidence interval
failure rate
length biased
Lorenz Curve
maximum likelihood
Maximum likelihood method
mean residual life
Reliability
reliability function
Simulation
size biased
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Summary:A new generalized Lindley distribution, based on weighted mixture of two gamma distributions, is proposed. This model includes the Lindley, gamma and exponential distributions as and other forms of Lindley distributions as special cases. Lindley distribution based on two gamma with two consecutive shape parameter is investigated in some details. Statistical and reliability properties of this model are derived. The size-biased, the length-biased and Lorenze curve are established. Estimation of the underlying parameters via the moment method and maximum likelihood has been investigated and their values are simulated. Finally, fitting this model to a set of real-life data is discussed.
ISSN:0094-9655
1563-5163
DOI:10.1080/00949655.2014.995101