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Ordering Results for Order Statistics from Two Heterogeneous Marshall-Olkin Generalized Exponential Distributions

Author

Listed:
  • Narayanaswamy Balakrishnan

    (McMaster University)

  • Ghobad Barmalzan

    (University of Zabol)

  • Abedin Haidari

    (Shahid Beheshti University)

Abstract

Adding parameters to a known distribution is a useful way of constructing flexible families of distributions. Marshall and Olkin (Biometrika, 84, 641–652, 1997) introduced a general method of adding a shape parameter to a family of distributions. In this paper, based on the Marshall-Olkin extension of a specified distribution, we introduce a new models referred to as Marshal-Olkin generalized exponential (MOGE) models, which include as a special case the well-known generalized exponential distribution. Next, we establish some stochastic comparisons between the corresponding order statistics based on majorization, weak majorization and p-larger theory. The results established here extend some well-known results in the literature about the generalized exponential distribution.

Suggested Citation

  • Narayanaswamy Balakrishnan & Ghobad Barmalzan & Abedin Haidari, 2018. "Ordering Results for Order Statistics from Two Heterogeneous Marshall-Olkin Generalized Exponential Distributions," Sankhya B: The Indian Journal of Statistics, Springer;Indian Statistical Institute, vol. 80(2), pages 292-304, November.
    • Handle: RePEc:spr:sankhb:v:80:y:2018:i:2:d:10.1007_s13571-017-0141-2
    DOI: 10.1007/s13571-017-0141-2
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    References listed on IDEAS

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    1. Gupta, Ramesh C. & Lvin, Sergey & Peng, Cheng, 2010. "Estimating turning points of the failure rate of the extended Weibull distribution," Computational Statistics & Data Analysis, Elsevier, vol. 54(4), pages 924-934, April.
    2. K. Jose & Shanoja Naik & Miroslav Ristić, 2010. "Marshall–Olkin q-Weibull distribution and max–min processes," Statistical Papers, Springer, vol. 51(4), pages 837-851, December.
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    Cited by:

    1. Isidro Jesús González-Hernández & Rafael Granillo-Macías & Carlos Rondero-Guerrero & Isaías Simón-Marmolejo, 2021. "Marshall-Olkin distributions: a bibliometric study," Scientometrics, Springer;Akadémiai Kiadó, vol. 126(11), pages 9005-9029, November.

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