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A new four-parameter extension of Burr-XII distribution: its properties and applications

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Abstract

A new four-parameter flexible extension of the Burr-XII distribution is proposed. A genesis for this distribution is presented. Some well-known distributions are shown as special and related cases. Linear expansions for survival and density functions, moment-generating function, ordinary moments, incomplete moments, quantile function, stochastic orderings and stress–strength reliability are investigated. The proposed distribution is compared with its submodels and some existing generalizations of Burr-XII for modeling five real-life data sets estimating parameters by maximum likelihood method. In all the examples, the proposed model is found to be the best one in terms of different goodness-of-fit tests as well as model selection criteria.

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Acknowledgements

Authors would like to acknowledge the positive comments and suggestion of all the anonymous reviewers and the editor which helped in improving the article.

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Correspondence to Subrata Chakraborty.

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Handique, L., Chakraborty, S. A new four-parameter extension of Burr-XII distribution: its properties and applications. Jpn J Stat Data Sci 1, 271–296 (2018). https://doi.org/10.1007/s42081-018-0016-4

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  • DOI: https://doi.org/10.1007/s42081-018-0016-4

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