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The Hyperbolic Sine Rayleigh Distribution with Application to Bladder Cancer Susceptibility

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  • Zubair Ahmad

    (Quaid-i-Azam University)

Abstract

In this paper, a new extension of the Rayleigh distribution called the Hyperbolic Sine-Rayleigh distribution is introduced and studied. The proposed model is very flexible and is capable of modeling with increasing and unimodal hazard rates. A comprehensive treatment of its mathematical properties including explicit expressions for the moments, quantiles, moment generating function, Entropy and order statistics are provided. Maximum likelihood estimates of the model parameters are obtained. Furthermore, a simulation study is conducted to access the behavior of the maximum likelihood estimators. Finally, the superiority of the subject model is illustrated empirically over the other distributions by analyzing a real-life application.

Suggested Citation

  • Zubair Ahmad, 2019. "The Hyperbolic Sine Rayleigh Distribution with Application to Bladder Cancer Susceptibility," Annals of Data Science, Springer, vol. 6(2), pages 211-222, June.
    • Handle: RePEc:spr:aodasc:v:6:y:2019:i:2:d:10.1007_s40745-018-0165-0
    DOI: 10.1007/s40745-018-0165-0
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    References listed on IDEAS

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    1. M. Jones, 2004. "Families of distributions arising from distributions of order statistics," TEST: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 13(1), pages 1-43, June.
    2. Ayman Alzaatreh & Carl Lee & Felix Famoye, 2013. "A new method for generating families of continuous distributions," METRON, Springer;Sapienza Università di Roma, vol. 71(1), pages 63-79, June.
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    Cited by:

    1. Jong-Min Kim & Hyunsu Ju & Yoonsung Jung, 2020. "Copula Approach for Developing a Biomarker Panel for Prediction of Dengue Hemorrhagic Fever," Annals of Data Science, Springer, vol. 7(4), pages 697-712, December.

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