The McDonald Lindley-Poisson Distribution

Percontini A., V. da Silva R., Handique L., Diniz Marinho P.R.
Publication typeJournal Article
Publication date2021-12-03
scimago Q3
wos Q3
SJR0.309
CiteScore2.9
Impact factor0.8
ISSN18162711, 22205810
Statistics and Probability
Statistics, Probability and Uncertainty
Modeling and Simulation
Management Science and Operations Research
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 flexible model for lifetime data analysis than other existing models as proved empirically by means of two real data sets.

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GOST Copy
Percontini A. et al. The McDonald Lindley-Poisson Distribution // Pakistan Journal of Statistics and Operation Research. 2021. pp. 1095-1112.
GOST all authors (up to 50) Copy
Percontini A., V. D., Handique L., Diniz M. The McDonald Lindley-Poisson Distribution // Pakistan Journal of Statistics and Operation Research. 2021. pp. 1095-1112.
RIS |
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RIS Copy
TY - JOUR
DO - 10.18187/pjsor.v17i4.3495
UR - https://doi.org/10.18187/pjsor.v17i4.3495
TI - The McDonald Lindley-Poisson Distribution
T2 - Pakistan Journal of Statistics and Operation Research
AU - Percontini, A
AU - V., da
AU - Handique, L
AU - Diniz, Marinho
PY - 2021
DA - 2021/12/03
PB - College of Statistical and Actuarial Sciences, University of Punjab
SP - 1095-1112
SN - 1816-2711
SN - 2220-5810
ER -
BibTex
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BibTex (up to 50 authors) Copy
@article{2021_Percontini,
author = {A Percontini and da V. and L Handique and Marinho Diniz},
title = {The McDonald Lindley-Poisson Distribution},
journal = {Pakistan Journal of Statistics and Operation Research},
year = {2021},
publisher = {College of Statistical and Actuarial Sciences, University of Punjab},
month = {dec},
url = {https://doi.org/10.18187/pjsor.v17i4.3495},
pages = {1095--1112},
doi = {10.18187/pjsor.v17i4.3495}
}