Abstract
In this paper, a new generalization of one parameter Lindely distribution is proposed. The new distribution is a mixture distribution of Gamma distributions with fixed scale parameter and variable shape parameter. The distribution is called 'GOLD Distribution' as it is a generalization for several distributions such as exponential, Lindely, Sujatha, Amarendra, Devya and Shambhu distributions. The probability density and cumulative density functions are derived. Also, the statistical properties of the GOLD distribution are discussed. Parameter estimation using the maximum likelihood and the method of moments are given. Moreover, an illustration of the usefulness of the GOLD distribution in survival data analysis is discussed based on a real lifetime data.
Publisher
Pakistan Journal of Statistics and Operation Research
Subject
Management Science and Operations Research,Statistics, Probability and Uncertainty,Modeling and Simulation,Statistics and Probability
Reference36 articles.
1. Abd El-Monsef M. (2015): A New Lindley Distribution with Location Parameter, Communications in Statistics - Theory and Methods, DOI:10.1080/03610926.2014.941496
2. Abouammoh A, Alshangiti A, Ragab I. (2015). A new generalized Lindley distribution. Journal of Statistical Computation and Simulation, 85(18): 3662–3678.
3. Akbar A. Hassan S , Nadarajahc S, Sharafia F. 2016. A new weighted Lindley distribution with application. Brazilian Journal of Probability and Statistics 30(1):1-27.
4. Alkarni S (2015) Extended Power Lindley distribution-A new Statistical model for non-monotone survival data. European journal of statistics and probability 3(3): 19-34.
5. Bakouch H. S., Al-Zahrani B. M., Al-Shomrani A. A., Marchi V. A., and Louzada F.,(2012). An extended Lindley distribution, Journal of the Korean Statistical Society, Vol(41), 75-85.