On a generalized Lomax distribution

Raj Kamal Maurya, Yogesh Mani Tripathi, Chandrakant Lodhi and Manoj Kumar Rastogi ()
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Raj Kamal Maurya: Indian Institute of Technology Patna
Yogesh Mani Tripathi: Indian Institute of Technology Patna
Chandrakant Lodhi: Indian Institute of Technology Patna
Manoj Kumar Rastogi: Patna University

International Journal of System Assurance Engineering and Management, 2019, vol. 10, issue 5, No 17, 1104 pages

Abstract: 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.

Keywords: Reliability and hazard rate; Maximum likelihood estimators; Bayes estimators; Tierney and Kadane method; Highest posterior density interval (search for similar items in EconPapers)
Date: 2019
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DOI: 10.1007/s13198-019-00839-0

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