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On some reliability measures and their stochastic orderings for the Topp-Leone distribution

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  • M. E. Ghitany
  • S. Kotz
  • M. Xie

Abstract

Topp-Leone distribution is a continuous unimodal distribution with bounded support (recently rediscovered) which is useful for modelling life-time phenomena. In this paper we study some reliability measures of this distribution such as the hazard rate, mean residual life, reversed hazard rate, expected inactivity time, and their stochastic orderings.

Suggested Citation

  • M. E. Ghitany & S. Kotz & M. Xie, 2005. "On some reliability measures and their stochastic orderings for the Topp-Leone distribution," Journal of Applied Statistics, Taylor & Francis Journals, vol. 32(7), pages 715-722.
    • Handle: RePEc:taf:japsta:v:32:y:2005:i:7:p:715-722
    DOI: 10.1080/02664760500079613
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    References listed on IDEAS

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    1. Saralees Nadarajah & Samuel Kotz, 2003. "Moments of some J-shaped distributions," Journal of Applied Statistics, Taylor & Francis Journals, vol. 30(3), pages 311-317.
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    Cited by:

    1. MirMostafaee, S.M.T.K., 2014. "On the moments of order statistics coming from the Topp–Leone distribution," Statistics & Probability Letters, Elsevier, vol. 95(C), pages 85-91.
    2. Mustapha Muhammad & Lixia Liu & Badamasi Abba & Isyaku Muhammad & Mouna Bouchane & Hexin Zhang & Sani Musa, 2023. "A New Extension of the Topp–Leone-Family of Models with Applications to Real Data," Annals of Data Science, Springer, vol. 10(1), pages 225-250, February.
    3. Komal Shekhawat & Vikas Kumar Sharma, 2021. "An Extension of J-Shaped Distribution with Application to Tissue Damage Proportions in Blood," Sankhya B: The Indian Journal of Statistics, Springer;Indian Statistical Institute, vol. 83(2), pages 548-574, November.
    4. Ali Genç, 2012. "Moments of order statistics of Topp–Leone distribution," Statistical Papers, Springer, vol. 53(1), pages 117-131, February.
    5. David E. Giles, 2012. "A Note on Improved Estimation for the Topp-Leone Distribution," Econometrics Working Papers 1203, Department of Economics, University of Victoria.
    6. Morad Alizadeh & Fazlollah Lak & Mahdi Rasekhi & Thiago G. Ramires & Haitham M. Yousof & Emrah Altun, 2018. "The odd log-logistic Topp–Leone G family of distributions: heteroscedastic regression models and applications," Computational Statistics, Springer, vol. 33(3), pages 1217-1244, September.
    7. Rashad Bantan & Mahmoud Elsehetry & Amal S. Hassan & Mohammed Elgarhy & Dreamlee Sharma & Christophe Chesneau & Farrukh Jamal, 2021. "A Two-Parameter Model: Properties and Estimation under Ranked Sampling," Mathematics, MDPI, vol. 9(11), pages 1-16, May.
    8. Francesca Condino & Filippo Domma, 2017. "A new distribution function with bounded support: the reflected generalized Topp-Leone power series distribution," METRON, Springer;Sapienza Università di Roma, vol. 75(1), pages 51-68, April.
    9. Francesca Condino & Filippo Domma & Giovanni Latorre, 2018. "Likelihood and Bayesian estimation of $$P(Y{," Statistical Papers, Springer, vol. 59(2), pages 467-485, June.
    10. Ramadan A. ZeinEldin & Christophe Chesneau & Farrukh Jamal & Mohammed Elgarhy, 2019. "Different Estimation Methods for Type I Half-Logistic Topp–Leone Distribution," Mathematics, MDPI, vol. 7(10), pages 1-23, October.

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    2. MirMostafaee, S.M.T.K., 2014. "On the moments of order statistics coming from the Topp–Leone distribution," Statistics & Probability Letters, Elsevier, vol. 95(C), pages 85-91.
    3. Rashad Bantan & Mahmoud Elsehetry & Amal S. Hassan & Mohammed Elgarhy & Dreamlee Sharma & Christophe Chesneau & Farrukh Jamal, 2021. "A Two-Parameter Model: Properties and Estimation under Ranked Sampling," Mathematics, MDPI, vol. 9(11), pages 1-16, May.
    4. Ali Genç, 2012. "Moments of order statistics of Topp–Leone distribution," Statistical Papers, Springer, vol. 53(1), pages 117-131, February.
    5. David E. Giles, 2012. "A Note on Improved Estimation for the Topp-Leone Distribution," Econometrics Working Papers 1203, Department of Economics, University of Victoria.
    6. Francesca Condino & Filippo Domma, 2017. "A new distribution function with bounded support: the reflected generalized Topp-Leone power series distribution," METRON, Springer;Sapienza Università di Roma, vol. 75(1), pages 51-68, April.
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    11. Komal Shekhawat & Vikas Kumar Sharma, 2021. "An Extension of J-Shaped Distribution with Application to Tissue Damage Proportions in Blood," Sankhya B: The Indian Journal of Statistics, Springer;Indian Statistical Institute, vol. 83(2), pages 548-574, November.
    12. Francesca Condino & Filippo Domma & Giovanni Latorre, 2018. "Likelihood and Bayesian estimation of $$P(Y{," Statistical Papers, Springer, vol. 59(2), pages 467-485, June.
    13. Ramadan A. ZeinEldin & Christophe Chesneau & Farrukh Jamal & Mohammed Elgarhy, 2019. "Different Estimation Methods for Type I Half-Logistic Topp–Leone Distribution," Mathematics, MDPI, vol. 7(10), pages 1-23, October.

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