On preservation of ageing under minimum for dependent random lifetimes

Franco Pellerey; Saeed Zalzadeh

Research Article

On preservation of ageing under minimum for dependent random lifetimes

Year 2014, Volume: 43 Issue: 5, 873 - 884, 01.10.2014

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.

Keywords

Ageing notions, IFR, NBU, Minimum, Archimedean copulas, Frailty models

References

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Year 2014, Volume: 43 Issue: 5, 873 - 884, 01.10.2014

Franco Pellerey Saeed Zalzadeh

Abstract

References

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There are 1 citations in total.

Details

Primary Language	English
Journal Section	Statistics
Authors	Franco Pellerey This is me Saeed Zalzadeh This is me
Publication Date	October 1, 2014
Published in Issue	Year 2014 Volume: 43 Issue: 5

Cite

APA	Pellerey, F., & Zalzadeh, S. (2014). On preservation of ageing under minimum for dependent random lifetimes. Hacettepe Journal of Mathematics and Statistics, 43(5), 873-884.
AMA	Pellerey F, Zalzadeh S. On preservation of ageing under minimum for dependent random lifetimes. Hacettepe Journal of Mathematics and Statistics. October 2014;43(5):873-884.
Chicago	Pellerey, Franco, and Saeed Zalzadeh. “On Preservation of Ageing under Minimum for Dependent Random Lifetimes”. Hacettepe Journal of Mathematics and Statistics 43, no. 5 (October 2014): 873-84.
EndNote	Pellerey F, Zalzadeh S (October 1, 2014) On preservation of ageing under minimum for dependent random lifetimes. Hacettepe Journal of Mathematics and Statistics 43 5 873–884.
IEEE	F. Pellerey and S. Zalzadeh, “On preservation of ageing under minimum for dependent random lifetimes”, Hacettepe Journal of Mathematics and Statistics, vol. 43, no. 5, pp. 873–884, 2014.
ISNAD	Pellerey, Franco - Zalzadeh, Saeed. “On Preservation of Ageing under Minimum for Dependent Random Lifetimes”. Hacettepe Journal of Mathematics and Statistics 43/5 (October 2014), 873-884.
JAMA	Pellerey F, Zalzadeh S. On preservation of ageing under minimum for dependent random lifetimes. Hacettepe Journal of Mathematics and Statistics. 2014;43:873–884.
MLA	Pellerey, Franco and Saeed Zalzadeh. “On Preservation of Ageing under Minimum for Dependent Random Lifetimes”. Hacettepe Journal of Mathematics and Statistics, vol. 43, no. 5, 2014, pp. 873-84.
Vancouver	Pellerey F, Zalzadeh S. On preservation of ageing under minimum for dependent random lifetimes. Hacettepe Journal of Mathematics and Statistics. 2014;43(5):873-84.