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

Narayanaswamy Balakrishnan, Ghobad Barmalzan () and Abedin Haidari
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Narayanaswamy Balakrishnan: McMaster University
Ghobad Barmalzan: University of Zabol
Abedin Haidari: Shahid Beheshti University

Sankhya B: The Indian Journal of Statistics, 2018, vol. 80, issue 2, No 4, 292-304

Abstract: 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; Primary: 60E15; Secondary: 90B25 (search for similar items in EconPapers)
Date: 2018
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Citations: View citations in EconPapers (1)

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DOI: 10.1007/s13571-017-0141-2

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