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An absolutely continuous bivariate Topp–Leone distribution: A useful model on a bounded domain

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  • Ali İ. Genç

Abstract

We introduce an absolutely continuous bivariate generalization of the Topp–Leone distribution, which is a special member of the proportional reversed hazard family using a one-parameter bivariate exchangeable distribution. We show that a copula approach could also be used in defining the bivariate Topp–Leone distribution. The marginal distributions of the new bivariate distribution have also Topp–Leone distributions. We study its distributional and dependence properties. We estimate the parameters by maximum-likelihood procedure, perform a simulation study on the estimators, and apply them to a real data set. Furthermore, we give a way of generating bivariate distributions using the proposed distribution.

Suggested Citation

  • Ali İ. Genç, 2017. "An absolutely continuous bivariate Topp–Leone distribution: A useful model on a bounded domain," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 46(19), pages 9726-9742, October.
    • Handle: RePEc:taf:lstaxx:v:46:y:2017:i:19:p:9726-9742
    DOI: 10.1080/03610926.2016.1218026
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    Cited by:

    1. M. J. S. Khan & Farhan Ansari & Qazi J. Azhad & Naresh Chandra Kabdwal, 2024. "Moments and inferences of inverted topp-leone distribution based on record values," International Journal of System Assurance Engineering and Management, Springer;The Society for Reliability, Engineering Quality and Operations Management (SREQOM),India, and Division of Operation and Maintenance, Lulea University of Technology, Sweden, vol. 15(6), pages 2623-2633, June.

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