Zero-truncated Poisson-Lindley distribution and its application

Authors:
M. E. Ghitany;D. K. Al-Mutairi;S. Nadarajah
Affiliations:
Department of Statistics and Operations Research, Faculty of Science, Kuwait University, Safat 13060, Kuwait;Department of Statistics and Operations Research, Faculty of Science, Kuwait University, Safat 13060, Kuwait;School of Mathematics, University of Manchester, Manchester M60 1QD, UK
Venue:
Mathematics and Computers in Simulation
Year:
2008

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Abstract

The zero-truncated Poisson-Lindley distribution is introduced and investigated. In particular, the method of moments and maximum likelihood estimators of the distribution's parameter are compared in small and large samples. Application of the model to real data is given.