Archivio Istituzionale della RicercaIn this note we consider a vector (X1,X2) of lifetimes whose dependence is described by an Archimedean copula, and we provide conditions useful to describe the relationships between ageing properties of X1 and X2 and ageing properties of their minimum. Examples are also provided.
On preservation of ageing under minimum for dependent random lifetimes / Pellerey, Franco; Zalzadeh, Saeed. - In: HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS. - ISSN 1303-5010. - 43:5(2014), pp. 873-884.
On preservation of ageing under minimum for dependent random lifetimes
PELLEREY, FRANCO;ZALZADEH, SAEED
2014
Abstract
In this note we consider a vector (X1,X2) of lifetimes whose dependence is described by an Archimedean copula, and we provide conditions useful to describe the relationships between ageing properties of X1 and X2 and ageing properties of their minimum. Examples are also provided.
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https://hdl.handle.net/11583/2524503
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