A New Quasi Poison-Lindley Distribution: Properties and Applications

• Main Authors: Munindra Borah, Junali Hazarika
• Format: Article
• Language: English
• Published: Atlantis Press 2017-11-01
• Series: Journal of Statistical Theory and Applications (JSTA)
• Subjects: Unimodality; Overdispersion; Method of Moments and Method of Maximum Likelihood estimation.
• Online Access: https://www.atlantis-press.com/article/25887943.pdf

A new two parameter quasi Poisson Lindley (NQPL) distribution is derived by using the general approach of compounding. One parameter Lindley distribution and geometric distribution may be obtained as a particular case. The new distribution is shown to be unimodal and overdispersed. A few distributional properties and recurrence relation of the proposed distribution are examined. The size biased new quasi Poisson Lindley (SBNQPL) distribution is also discussed. The method of moments and method of maximum likelihood have been used for estimating the parameters for both NQPL and SBNQPL distributions have been fitted to some real data sets for testing its goodness of fit and found to perform better than other basic distributions.