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Abstract

We study a three-parameter generalized Lomax distribution. Several structural and statistical properties such as quantiles, moments, order statistic and stochastic ordering have been investigated. Different estimators of unknown quantities of interest are derived from maximum likelihood and Bayesian approaches. We have computed Bayes estimators from the Tierney and Kadane method. Interval estimates are also discussed. Performance of all methods is compared using a simulation study. Illustrative discussion of a real data is presented as well. Finally, some concluding remarks are given.

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Acknowledgements

We appreciate reviewers for encouraging comments which have led to substantial improvements in content and presentation of the paper. We thank the Editor for their constructive comments to improve our manuscript.

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Correspondence to Manoj Kumar Rastogi.

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Appendix

Appendix

1.1 Program for MLEs

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Maurya, R.K., Tripathi, Y.M., Lodhi, C. et al. On a generalized Lomax distribution. Int J Syst Assur Eng Manag 10, 1091–1104 (2019). https://doi.org/10.1007/s13198-019-00839-0

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  • DOI: https://doi.org/10.1007/s13198-019-00839-0

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