Comments on Irshad et al. (2021) “The Zografos-Balakrishnan Lindley Distribution: Properties and Applications”

Authors

  • Hamid Ghorbani University of Kashan
  • Muhammed Rasheed Irshad Cochin University of Science and Technology, Kochi-22, Kerala

DOI:

https://doi.org/10.6092/issn.1973-2201/13650

Keywords:

Goodness-of-fit statistic, Lindley distribution, Maximum likelihood estimation

Abstract

This paper corrects and updates Irshad et al. (2021) by some technical comments. The original paperwas inadvertently published with some errors, mainly the computational ones regarding the maximum likelihood (ML) estimate of the parameters of the fitted models which will be addressed and corrected in this paper. Furthermore, the standard errors of the ML estimates of different fitted models, as an important indicator of the accuracy of estimates and particularly are necessary for making the statistical inference for the population parameters, have been added.

References

M. GHITANY, B. ATIEH, S. NADARAJAH (2008). Lindley distribution and its application. Mathematics and Computers in Simulation, 78, no. 4, pp. 493–506.

M. R. IRSHAD, V. D’CRUZ, R. MAYA (2021). The Zografos-Balakrishnan Lindley distribution: Properties and applications. Statistica, 81, no. 1, p. 45–64.

J. MAZUCHELI, L. B. FERNANDES, R. P. DE OLIVEIRA (2016). LindleyR: The Lindley distribution and its modifications. URL https://CRAN.R-project.org/package=LindleyR. R package version 1.1.0.

J. MOSQUERA, F. HERNANDEZ (2021). EstimationTools: Maximum likelihood estimation for probability functions from data sets. URL https://cran.r-project.org/web/packages/EstimationTools/index.html.

Y. PAWITAN (2013). In All Likelihood: Statistical Modelling and Inference using Likelihood. Oxford Science Publications, Clarendon Press, Oxford.

R CORE TEAM (2021). R: A language and environment for statistical computing. R Foundation for Statistical Computing, Vienna, Austria. URL https://www.R-project.org/.

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Published

2022-07-12

How to Cite

Ghorbani, H., & Irshad, M. R. (2022). Comments on Irshad et al. (2021) “The Zografos-Balakrishnan Lindley Distribution: Properties and Applications”. Statistica, 82(1), 71–76. https://doi.org/10.6092/issn.1973-2201/13650

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Section

Articles