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Sankhya B

, Volume 80, Issue 2, pp 292–304 | Cite as

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

  • Narayanaswamy Balakrishnan
  • Ghobad Barmalzan
  • Abedin Haidari
Article
  • 59 Downloads

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.

Keywords

Weak majorization order P-larger order Order statistics Usual stochastic order Marshall-Olkin generalized exponential model 

AMS (2000) subject classification

Primary: 60E15 Secondary: 90B25 

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Copyright information

© Indian Statistical Institute 2017

Authors and Affiliations

  • Narayanaswamy Balakrishnan
    • 1
  • Ghobad Barmalzan
    • 2
  • Abedin Haidari
    • 3
  1. 1.Department of Mathematics and StatisticsMcMaster UniversityHamiltonCanada
  2. 2.Department of StatisticsUniversity of ZabolZabolIran
  3. 3.Department of Mathematical SciencesShahid Beheshti UniversityTehranIran

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