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AI Summary & Key Takeaways
AI Insight⚡ TL;DR(Too Long; Didn't Read)
Examples are also provided.
📌 3 Key Takeaways
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Objective & Hypothesis: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.
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Key Findings & Data: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.
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Conclusion & Impact:Examples are also provided.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Ageing notions · IFR · NBU
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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Cite This Article
PELLEREYAND, F., ZALZADEH, S. (2022). On preservation of ageing under minimum for dependent random lifetimes. Hacettepe Journal of Mathematics and Statistics, Cilt: 43 - Sayı: 5, 873–884. https://ajindex.com/articles/530368