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Communications in Statistics - Theory and Methods Volume 43, 2014 - Issue 19
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Original Articles

Failure Rate and Aging Properties of Generalized Beta- and Gamma-generated Distributions

Ioannis S. TriantafyllouDepartment of Statistics and Insurance Science, University of Piraeus, Piraeus, GreeceCorrespondence[email protected]
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Markos V. KoutrasDepartment of Statistics and Insurance Science, University of Piraeus, Piraeus, GreeceView further author information
Pages 4046-4061 | Received 12 Mar 2012, Accepted 09 Jul 2012, Published online: 14 Nov 2014
 
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Abstract

In the present article we study several characteristics of the families of generalized beta- and gamma- generated distributions introduced by Alexander et al. (2011) and Zografos and Balakrishnan (2009), respectively. Simple formulas are established for calculating the failure rate of the members of the aforementioned families by exploiting the failure rate of the parent distribution. In addition, the aging properties of the generalized beta- and gamma-generated distributions are explored in terms of the corresponding aging behavior of the parent family.

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Additional information

Funding

Ioannis Triantafyllou is supported by the State Scholarship Foundation of Greece.

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