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2001 The Joint Law of Ages and Residual Lifetimes for Two Schemes of Regenerative Sets
Amaury Lambert
Author Affiliations +
Electron. J. Probab. 6: 1-23 (2001). DOI: 10.1214/EJP.v6-92

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.

Citation

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Amaury Lambert. "The Joint Law of Ages and Residual Lifetimes for Two Schemes of Regenerative Sets." Electron. J. Probab. 6 1 - 23, 2001. https://doi.org/10.1214/EJP.v6-92

Information

Accepted: 2 May 2001; Published: 2001
First available in Project Euclid: 19 April 2016

zbMATH: 0985.60076
MathSciNet: MR1873296
Digital Object Identifier: 10.1214/EJP.v6-92

Subjects:
Primary: 60K05
Secondary: 60G51

Keywords: multivariate renewal theory , random covering intervals , Regenerative sets , subordinator

Vol.6 • 2001
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