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The Type II Topp Leone-Power Lomax Distribution with Analysis in Lifetime Data

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Abstract

In this article, a new distribution, namely the type II Topp Leone-power Lomax (TIITL-PL) distribution, is proposed. Some statistical properties of the proposed distribution are derived including the survival function, hazard rate function, quantile function, moments, moment-generating function, the density function of order statistics, Lorenz curve and Bonferroni curve. The proposed distribution has a special submodel, that is, the type II Topp Leone-Lomax distribution. The maximum likelihood method is employed for model parameter estimation. For application study, the goodness-of-fit study is presented to illustrate the ability of the proposed model to fit various types of real data sets. The result shows that the TIITL-PL model is a flexible alternative to fit and analysis of lifetime data.

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Acknowledgements

The authors would like to express our deepest thanks to the reviewers for their valuable comments.

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Authors and Affiliations

  1. Department of Mathematics and Computer Science, Faculty of Science and Technology, Rajamangala University of Technology Thanyaburi, Pathum Thani, 12110, Thailand

    Sirinapa Aryuyuen

  2. Department of Statistics, Faculty of Science, Kasetsart University, Bangkok, 10900, Thailand

    Winai Bodhisuwan

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  1. Sirinapa Aryuyuen
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  2. Winai Bodhisuwan
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Correspondence to Winai Bodhisuwan.

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Aryuyuen, S., Bodhisuwan, W. The Type II Topp Leone-Power Lomax Distribution with Analysis in Lifetime Data. J Stat Theory Pract 14, 31 (2020). https://doi.org/10.1007/s42519-020-00091-x

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  • DOI: https://doi.org/10.1007/s42519-020-00091-x

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