首页 | 本学科首页   官方微博 | 高级检索  
     检索      


Weighted geometric distribution with new characterizations of geometric distribution
Authors:Deepesh Bhati  Savitri Joshi
Institution:Department of Statistics, Central University of Rajasthan, Kishangarh, India
Abstract:In this article, we derive a new generalized geometric distribution through a weight function, which can also be viewed as a discrete analog of weighted exponential distribution introduced by Gupta and Kundu (2009 Gupta, R. D., and D. Kundu. 2009. A new class of weighted exponential distributions. Statistics 43:62134.Taylor &; Francis Online], Web of Science ®] Google Scholar]). We derive some distributional properties like moments, generating functions, hazard function, and infinite divisibility followed by different estimation methods to estimate the parameters. New characterizations of the geometric distribution are presented using the proposed generalized geometric distribution. The superiority of the proposed distribution to other competing models is demonstrated with the help of two real count datasets.
Keywords:Characterization  Discrete analog  Estimation  Geometric distribution  Infinite divisibility  Weighted exponential distribution  
设为首页 | 免责声明 | 关于勤云 | 加入收藏

Copyright©北京勤云科技发展有限公司  京ICP备09084417号