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The Joint Law of Ages and Residual Lifetimes for Two Schemes of Regenerative Sets


 
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1. Title Title of document The Joint Law of Ages and Residual Lifetimes for Two Schemes of Regenerative Sets
 
2. Creator Author's name, affiliation, country Amaury Lambert; Université Pierre et Marie Curie
 
3. Subject Discipline(s) Mathematics
 
3. Subject Keyword(s) Multivariate renewal theory, regenerative sets, subordinator, random covering intervals.
 
3. Subject Subject classification Primary 60K05. Secondary 60G51.
 
4. Description Abstract We are interested in the component intervals of the complements of a monotone sequence $R_n \subseteq \dots \subseteq R_1$ of regenerative sets, for two natural embeddings. One is based on Bochner's subordination, and one on the intersection of independent regenerative sets. For each scheme, we study the joint law of the so-called ages and residual lifetimes.
 
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6. Contributor Sponsor(s)
 
7. Date (YYYY-MM-DD) 2001-05-02
 
8. Type Status & genre Peer-reviewed Article
 
8. Type Type
 
9. Format File format PDF
 
10. Identifier Uniform Resource Identifier http://ejp.ejpecp.org/article/view/92
 
10. Identifier Digital Object Identifier 10.1214/EJP.v6-92
 
11. Source Journal/conference title; vol., no. (year) Electronic Journal of Probability; Vol 6
 
12. Language English=en en
 
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