Weighted geometric distribution with a new characterisation of geometric distribution

2015/12/22 by Deepesh Bhati, Bhati, Deepesh, S. W. Joshi +2
Computer Science · Mathematics · #Advanced Statistical Methods and Models #Bayesian Methods and Mixture Models #Statistical Distribution Estimation and Applications #stat.ME

paper · pdf · doi:10.48550/arxiv.1512.07139

17 pages 1 figure

arxiv created 2016/02/05 · arxiv updated 2016/02/08

Abstract

In this paper, we introduce a new generalization of geometric distribution which can also viewed as discrete analogue of weighted exponential distribution introduced by Gupta and Kundu(2009). We study some basic distributional properties like moments, generating functions, hazard function followed by different methods of estimation of the parameters. Characterization of Geometric distribution have also been presented. Finally, we examine the model with real data sets.

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