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Open AccessFeature PaperArticle

Generalising Exponential Distributions Using an Extended Marshall–Olkin Procedure

1
Department of Statistics and Operations Research, University of Cádiz, E-11002 Cadiz, Spain
2
Department of Quantitative Methods & TiDES Institute, University of Las Palmas de Gran Canaria, E-35017 Ganareth las Palmas, Spain
*
Author to whom correspondence should be addressed.
Symmetry 2020, 12(3), 464; https://doi.org/10.3390/sym12030464
Received: 11 February 2020 / Revised: 3 March 2020 / Accepted: 4 March 2020 / Published: 15 March 2020
This paper presents a three-parameter family of distributions which includes the common exponential and the Marshall–Olkin exponential as special cases. This distribution exhibits a monotone failure rate function, which makes it appealing for practitioners interested in reliability, and means it can be included in the catalogue of appropriate non-symmetric distributions to model these issues, such as the gamma and Weibull three-parameter families. Given the lack of symmetry of this kind of distribution, various statistical and reliability properties of this model are examined. Numerical examples based on real data reflect the suitable behaviour of this distribution for modelling purposes. View Full-Text
Keywords: exponential distribution; generalised gamma and Weibull distributions; hazard rate function; Marshall–Olkin procedure exponential distribution; generalised gamma and Weibull distributions; hazard rate function; Marshall–Olkin procedure
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García, V.; Martel-Escobar, M.; Vázquez-Polo, F. Generalising Exponential Distributions Using an Extended Marshall–Olkin Procedure. Symmetry 2020, 12, 464.

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