Weighted geometric distribution with a new characterisation of geometric distribution

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.