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Burr–Hatke Exponential Distribution: A Decreasing Failure Rate Model, Statistical Inference and Applications

Author

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  • Abhimanyu Singh Yadav

    (Central University of Rajasthan)

  • Emrah Altun

    (Bartin University)

  • Haitham M. Yousof

    (Benha University)

Abstract

In this paper, we introduce a new one-parameter lifetime distribution as an alternative to exponential distribution named as Burr–Hatke exponential (BHE) distribution. Classical and Bayesian estimation procedure for the estimation of BHE model parameter are discussed using on the Type-II hybrid censored data. The Monte Carlo simulations are performed to compare the performances of the obtained estimators in mean square error sense. Two real data sets are analyzed for the illustrative purpose of the considered study. Additionally, a new log-location regression model based on the new distribution is introduced and studied.

Suggested Citation

  • Abhimanyu Singh Yadav & Emrah Altun & Haitham M. Yousof, 2021. "Burr–Hatke Exponential Distribution: A Decreasing Failure Rate Model, Statistical Inference and Applications," Annals of Data Science, Springer, vol. 8(2), pages 241-260, June.
    • Handle: RePEc:spr:aodasc:v:8:y:2021:i:2:d:10.1007_s40745-019-00213-8
    DOI: 10.1007/s40745-019-00213-8
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    References listed on IDEAS

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    1. Nadarajah, Saralees & Kotz, Samuel, 2006. "The beta exponential distribution," Reliability Engineering and System Safety, Elsevier, vol. 91(6), pages 689-697.
    2. Balakrishnan, N. & Kundu, Debasis, 2013. "Hybrid censoring: Models, inferential results and applications," Computational Statistics & Data Analysis, Elsevier, vol. 57(1), pages 166-209.
    3. A. Childs & B. Chandrasekar & N. Balakrishnan & D. Kundu, 2003. "Exact likelihood inference based on Type-I and Type-II hybrid censored samples from the exponential distribution," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 55(2), pages 319-330, June.
    4. Abhimanyu Singh Yadav & Sanjay Kumar Singh & Umesh Singh, 2016. "On Hybrid Censored Inverse Lomax Distribution: Application to the Survival Data," Statistica, Department of Statistics, University of Bologna, vol. 76(2), pages 185-203.
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    Cited by:

    1. Devendra Pratap Singh & Mayank Kumar Jha & Yogesh Mani Tripathi & Liang Wang, 2023. "Inference on a Multicomponent Stress-Strength Model Based on Unit-Burr III Distributions," Annals of Data Science, Springer, vol. 10(5), pages 1329-1359, October.

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