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On Some Further Properties and Application of Weibull-R Family of Distributions

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  • Indranil Ghosh

    (University of North Carolina)

  • Saralees Nadarajah

    (University of Manchester)

Abstract

In this paper, we provide some new results for the Weibull-R family of distributions (Alzaghal et al. in Int J Stat Probab 5:139–149, 2016). We derive some new structural properties of the Weibull-R family of distributions. We provide various characterizations of the family via conditional moments, some functions of order statistics and via record values.

Suggested Citation

  • Indranil Ghosh & Saralees Nadarajah, 2018. "On Some Further Properties and Application of Weibull-R Family of Distributions," Annals of Data Science, Springer, vol. 5(3), pages 387-399, September.
    • Handle: RePEc:spr:aodasc:v:5:y:2018:i:3:d:10.1007_s40745-018-0142-7
    DOI: 10.1007/s40745-018-0142-7
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    References listed on IDEAS

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    1. Silva, Rodrigo B. & Barreto-Souza, Wagner & Cordeiro, Gauss M., 2010. "A new distribution with decreasing, increasing and upside-down bathtub failure rate," Computational Statistics & Data Analysis, Elsevier, vol. 54(4), pages 935-944, April.
    2. T. Huillet & H.-F. Raynaud, 1999. "Rare events in a log-Weibull scenario - Application to earthquake magnitude data," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 12(3), pages 457-469, December.
    3. Edwin Ortega & Gauss Cordeiro & Michael Kattan, 2013. "The log-beta Weibull regression model with application to predict recurrence of prostate cancer," Statistical Papers, Springer, vol. 54(1), pages 113-132, February.
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