The McDonald Lindley-Poisson Distribution | [Pakistan Journal of Statistics and Operation Research • 2021]

Author(s):

1. Ana Percontini: Department of Exact Sciences, State University of Feira de Santana, Feira de Santana, BA, Brazil

2. Frank Gomes-Silva: Department of Statistics and Informatics, Federal Rural University of Pernambuco, Recife, PE, Brazil

3. Ronaldo V. da Silva: Recife Military School, Recife, PE, Brazil

4. Laba Handique: Departament of Statistics, Dibrugarh University, Dibrugarh, India

5. Pedro Rafael D. Marinho: Department of Statistics, Federal University of Para ba, Jo~ao Pessoa, PB, Brazil

Abstract:

We propose the McDonald Lindley-Poisson distribution and derive some of its mathematical properties including explicit expressions for moments, generating and quantile functions, mean deviations, order statistics and their moments. Its model parameters are estimated by maximum likelihood. A simulation study investigates the performance of the estimates. The new distribution represents a more exible model for lifetime data analysis than other existing models as proved empirically by means of two real data sets.

Page(s): 1095-1112

DOI: 10.18187/pjsor.v17i4.3495

Published: Journal: Pakistan Journal of Statistics and Operation Research, Volume: 17, Issue: 4, Year: 2021

Keywords:

maximum likelihood estimation , Monte Carlo simulation , Moment , McDonald Distribution , LindleyPoisson distribution

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