Renewal theory for embedded regenerative sets

Annals of Probability

Volumn 27, Issue 3, 1999, Pages 1523-1535

  Bertoin, Jean ^a  

^a SORBONNE UNIVERSITÉ   (France)

Author keywords

Dirichlet distribution; Multivariate renewal theory; Regenerative set

Indexed keywords

EID: 0033164329     PISSN: 00911798     EISSN: None     Source Type: Journal    
DOI: 10.1214/aop/1022677457     Document Type: Article

References (8)

1. BERTOIN, J. (1997). Regenerative embedding of Markov sets. Probab. Theory Related Feilds 108 559-571.
2. BERTOIN, J. (1999). Subordinators: Examples and Applications. Ecole d'été de Probabilities de St-Flour XXVII. Lecture Note in Math. Springer, Berlin. To appear.
3. BINGHAM, N. H., GOLDIE, C. M. and TEUGELS, J. L. (1987). Regular Variation, Cambridge Univ. Press.
4. FELLER, W. E. (1968). An Introduction to Probability Theory and Its Application, 1 3rd ed. Wiley, New York.
5. FELLER, W. E. (1971). An Introduction to Probability Theory and Its Application, 2 2nd ed. Wiley, New York.
6. FRISTEDT, B. E. (1996). Intersections and limit of regenerate sets. In Random Discrete Structure (D. Aldous and R. Pemantle, eds.) 121-151. Springer Berlin.
7. HÖGLUND T. (1988). A multidimensional renewal theorem. Bull. Sci. Math. 112 111-138.
8. SPITZER, F. (1986). A multidimensional renewal theorem. In Probability, Statistical Mechanics, and Number Theory (G. C. Rota, ed.) 147-155. Academic Press, Orlando