Discrete Weibull geometric distribution and its properties
Authors:
- 27 September 2017
- journal article
- research article
- Published by Taylor & Francis in Communications in Statistics - Theory and Methods
- Vol. 47 (7) , 1767-1783
Abstract
In this article, the discrete analog of Weibull geometric distribution is introduced. Discrete Weibull, discrete Rayleigh, and geometric distributions are submodels of this distribution. Some basic distributional properties, hazard function, random number generation, moments, and order statistics of this new discrete distribution are studied. Estimation of the parameters are done using maximum likelihood method. The applications of the distribution is established using two datasets.Keywords
This publication has 25 references indexed in Scilit:
- The Weibull-geometric distributionJournal of Statistical Computation and Simulation, 2011
- A Bivariate Geometric Distribution with Applications to ReliabilityCommunications in Statistics - Theory and Methods, 2009
- A Skew Laplace Distribution on IntegersAnnals of the Institute of Statistical Mathematics, 2006
- Discrete Rayleigh DistributionIEEE Transactions on Reliability, 2004
- The Discrete Normal DistributionCommunications in Statistics - Theory and Methods, 2003
- Characterizations and model selections through reliability measures in the discrete caseStatistics & Probability Letters, 1999
- Theory & Methods: Generalized exponential distributionsAustralian & New Zealand Journal of Statistics, 1999
- A new defect distribution metrology with a consistent discrete exponential formula and its applicationsIEEE Transactions on Semiconductor Manufacturing, 1999
- Discrete hazard rate functionsComputers & Operations Research, 1995
- Note on the generation of most probable frequency distributionsStatistica Neerlandica, 1972