Generalized inverse Lindley power series distributions: modeling and simulation
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Authors
Said H. Alkarni
- Department of Quantitative Analysis, King Saud University, Riyadh, Saudi Arabia.
Abstract
In this paper, we introduce a new generalization of a class of inverse Lindley distributions called the generalized inverse Lindley power series (GILPS) distribution. This class of distributions is obtained by compounding the generalized class of inverse Lindley distributions with the power series family of distributions. The GILPS contains several lifetime subclasses such as inverse Lindley power series, two parameters inverse Lindley power series, and inverse power Lindley power series distributions. It can generate many statistical distributions such as the inverse power Lindley Poisson distribution, the inverse power Lindley geometric distribution, the inverse power Lindley logarithmic distribution, and the inverse power Lindley binomial distribution. The proposed class has flexibility in the sense that it can generate new lifetime distributions as well as some existing distributions. For the proposed class, several properties are derived such as hazard rate function, limiting behavior, quantile function, moments, moments generating function, and distributions of order statistics. The method of maximum likelihood estimation can be used to estimate the model parameters of this new class. A simulation for a selective model will be discussed. At the end, we will demonstrate applications of three real data sets to show the flexibility and potential of the new class of distributions.
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ISRP Style
Said H. Alkarni, Generalized inverse Lindley power series distributions: modeling and simulation, Journal of Nonlinear Sciences and Applications, 12 (2019), no. 12, 799--815
AMA Style
Alkarni Said H., Generalized inverse Lindley power series distributions: modeling and simulation. J. Nonlinear Sci. Appl. (2019); 12(12):799--815
Chicago/Turabian Style
Alkarni, Said H.. "Generalized inverse Lindley power series distributions: modeling and simulation." Journal of Nonlinear Sciences and Applications, 12, no. 12 (2019): 799--815
Keywords
- Generalized inverse Lindley power series distributions
- inverse Lindley power series distributions
- inverse power Lindley power series distribution
MSC
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