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The Exponentiated Exponential Burr XII distribution: Theory and application to lifetime and simulated data

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  • Majdah Badr
  • Muhammad Ijaz

Abstract

The paper addresses a new four-parameter probability distribution called the Exponentiated Exponential Burr XII or abbreviated as EE-BXII. We derive various statistical properties in addition to the parameter estimation, moments, and asymptotic confidence bounds. We estimate the precision of the maximum likelihood estimators via a simulation study. Furthermore, the utility of the proposed distribution is evaluated by using two lifetime data sets and the results are compared with other existing probability distributions. The results clarify that the proposed distribution provides a better fit to these data sets as compared to the existing probability distributions.

Suggested Citation

  • Majdah Badr & Muhammad Ijaz, 2021. "The Exponentiated Exponential Burr XII distribution: Theory and application to lifetime and simulated data," PLOS ONE, Public Library of Science, vol. 16(3), pages 1-20, March.
    • Handle: RePEc:plo:pone00:0248873
    DOI: 10.1371/journal.pone.0248873
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    References listed on IDEAS

    as
    1. Muhammad Ijaz & Syed Muhammad Asim & Alamgir & Muhammad Farooq & Sajjad Ahmad Khan & Sadaf Manzoor, 2020. "A Gull Alpha Power Weibull distribution with applications to real and simulated data," PLOS ONE, Public Library of Science, vol. 15(6), pages 1-19, June.
    2. Muhammad Ali & Alamgir Khalil & Muhammad Ijaz & Noor Saeed, 2021. "Alpha-Power Exponentiated Inverse Rayleigh distribution and its applications to real and simulated data," PLOS ONE, Public Library of Science, vol. 16(1), pages 1-17, January.
    3. Muhammad Ijaz & Wali Khan Mashwani & Samir Brahim Belhaouari, 2020. "A novel family of lifetime distribution with applications to real and simulated data," PLOS ONE, Public Library of Science, vol. 15(10), pages 1-15, October.
    4. Nadarajah, Saralees & Kotz, Samuel, 2006. "The beta exponential distribution," Reliability Engineering and System Safety, Elsevier, vol. 91(6), pages 689-697.
    5. Bruce J. Sherrick & Philip Garcia & Viswanath Tirupattur, 1996. "Recovering probabilistic information from option markets: Tests of distributional assumptions," Journal of Futures Markets, John Wiley & Sons, Ltd., vol. 16(5), pages 545-560, August.
    6. Carl M. Harris, 1968. "The Pareto Distribution as a Queue Service Discipline," Operations Research, INFORMS, vol. 16(2), pages 307-313, April.
    7. Muhammad Ijaz & Wali Khan Mashwani & Atilla Göktaş & Yuksel Akay Unvan, 2021. "RETRACTED ARTICLE: A novel alpha power transformed exponential distribution with real-life applications," Journal of Applied Statistics, Taylor & Francis Journals, vol. 48(11), pages 1-1, August.
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