A New Generalized Poisson-Lindley Distribution: Applications and Properties

Authors

  • Deepesh Bhati Department of Statistics, Central University of Rajasthan
  • DVS Sastry Chair Professor Central University of Rajasthan
  • PZ Maha Qadri

DOI:

https://doi.org/10.17713/ajs.v44i4.54

Abstract

A new generalized Poisson Lindley distribution is obtained by compounding Poisson
distribution with two parameter generalised Lindley distribution. The new distribution is
shown to be unimodal and over dispersed. This distribution has a tendency to accommodate right tail as well as for particular values of parameter the tail tends to zero at a faster rate. Various properties like cumulative distribution function, generating function, Moments etc. are derived. Knowledge about the parameters is obtained through Method of Moments, Maximum Likelihood Method and EM Algorithm. Moreover, an actuarial application in collective risk model is shown by considering the proposed distribution as primary and Exponential and Erlang as secondary distribution. The model is applied to real dataset and found to perform better than competing models.

Author Biographies

Deepesh Bhati, Department of Statistics, Central University of Rajasthan

Department of Statistics

Assistant Professor

DVS Sastry, Chair Professor Central University of Rajasthan

Chair Professor

Central University of Rajasthan

PZ Maha Qadri

Department of Statistics
Central University of Rajasthan

References

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Published

2015-12-06

How to Cite

Bhati, D., Sastry, D., & Qadri, P. M. (2015). A New Generalized Poisson-Lindley Distribution: Applications and Properties. Austrian Journal of Statistics, 44(4), 35-51. https://doi.org/10.17713/ajs.v44i4.54

Issue

Section

Articles