Symmetric models for lifetimes: the role of exchangeable equivalence relations
Gerardi, Anna ; Torti, Barbara
Bollettino dell'Unione Matematica Italiana, Tome 6-A (2003), p. 111-123 / Harvested from Biblioteca Digitale Italiana di Matematica

A model of a heterogeneous population partitioned into a finite number of classes according an exchangeable equivalence relation is studied. With this motivation the properties of exchangeable equivalence relations are investigated and, in particular, the structure of its equivalence classes is characterized.

Si considera un modello relativo ad una popolazione eterogenea suddivisa in un numero finito di classi, in accordo con una relazione di equivalenza scambiabile. Con questa motivazione si studiano le proprietà delle relazioni di equivalenza scambiabili ed in particolare se ne caratterizza la struttura delle classi di equivalenza.

Publié le : 2003-02-01
@article{BUMI_2003_8_6B_1_111_0,
     author = {Anna Gerardi and Barbara Torti},
     title = {Symmetric models for lifetimes: the role of exchangeable equivalence relations},
     journal = {Bollettino dell'Unione Matematica Italiana},
     volume = {6-A},
     year = {2003},
     pages = {111-123},
     zbl = {1177.62117},
     mrnumber = {1955699},
     language = {en},
     url = {http://dml.mathdoc.fr/item/BUMI_2003_8_6B_1_111_0}
}
Gerardi, Anna; Torti, Barbara. Symmetric models for lifetimes: the role of exchangeable equivalence relations. Bollettino dell'Unione Matematica Italiana, Tome 6-A (2003) pp. 111-123. http://gdmltest.u-ga.fr/item/BUMI_2003_8_6B_1_111_0/

[1] Aldous, D. J., Exchangeability and related topics, Lect. Notes in Math., Springer (1983). | MR 883646 | Zbl 0562.60042

[2] Billingsley, P., Probability and measures, J. Wiley (1979). | MR 534323 | Zbl 0411.60001

[3] Gerardi, A.-Spizzichino, F.-Torti, B., Exchangeable mixture models for lifetimes: the role of «occupation numbers», Stat. Probab. Letters, 49 (2000). | MR 1796481 | Zbl 1146.62313

[4] Gerardi, A.-Spizzichino, F.-Torti, B., Filtering equations for the conditional law of residual lifetimes from a heterogeneous population, J. Appl. Probab., 37, 3 (2000). | MR 1782456 | Zbl 0967.62082

[5] Kingman, J. F. C., The representation of partitions structures, J. London Math. Soc., 18 (1978). | MR 509954 | Zbl 0415.92009

[6] Kingman, J. F. C., Exchangeability and evolution of the large populations, in Exchangeability in Probability and Statistics, G. Koch and F. Spizzichino eds. (1982). | MR 675968 | Zbl 0494.92011

[7] Kingman, J. F. C., The coalescent, Stoch. Proc. Appl., 13 (1982). | MR 671034 | Zbl 0491.60076

[8] Spizzichino, F., A probabilistic model for heterogeneous populations and related burn-in design problems. In Reliability and Maintenance of Complex Systems (S. Ozekici, Ed.), Springer (1996). | Zbl 0897.62111