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Record data from Kies distribution and related statistical inferences

Author

Listed:
  • Al-Olaimat Nesreen M.

    (Department of Mathematics, The University of Jordan, Amman, 11942, Jordan .)

  • Bayoud Husam A.

    (College of Sciences and Humanities, Fahad Bin Sultan University, Tabuk, Saudi Arabia .)

  • Raqab Mohammad Z.

    (Department of Mathematics, The University of Jordan, Amman, 11942, Jordan .)

Abstract

The Kies probability model was proposed as an alternative to the extended Weibull models as it provides a more efficient fit to some real-life data sets in comparison to the aforementioned models. The paper proposes classical and Bayesian inferences for the Kies distribution based on records. Maximum likelihood estimates are studied jointly with asymptotic and bootstrap confidence intervals. Moreover, Bayes estimates, along with credible intervals are discussed assuming squared and LINEX loss functions. The proposed estimation methods have been investigated and compared via simulation studies. A real data set has been analysed for illustrative purposes.

Suggested Citation

  • Al-Olaimat Nesreen M. & Bayoud Husam A. & Raqab Mohammad Z., 2021. "Record data from Kies distribution and related statistical inferences," Statistics in Transition New Series, Polish Statistical Association, vol. 22(4), pages 153-170, December.
    • Handle: RePEc:vrs:stintr:v:22:y:2021:i:4:p:153-170:n:9
    DOI: 10.21307/stattrans-2021-043
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    References listed on IDEAS

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    2. C. Satheesh Kumar & S. Dharmaja, 2014. "On some properties of Kies distribution," METRON, Springer;Sapienza Università di Roma, vol. 72(1), pages 97-122, April.
    3. Papke, Leslie E & Wooldridge, Jeffrey M, 1996. "Econometric Methods for Fractional Response Variables with an Application to 401(K) Plan Participation Rates," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 11(6), pages 619-632, Nov.-Dec..
    4. C. Satheesh Kumar & S. H. S. Dharmaja, 2017. "The exponentiated reduced Kies distribution: Properties and applications," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 46(17), pages 8778-8790, September.
    5. Essam A. Ahmed, 2014. "Bayesian estimation based on progressive Type-II censoring from two-parameter bathtub-shaped lifetime model: an Markov chain Monte Carlo approach," Journal of Applied Statistics, Taylor & Francis Journals, vol. 41(4), pages 752-768, April.
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