Symmetric models for lifetimes: the role of exchangeable equivalence relations

Anna Gerardi; Barbara Torti

Bollettino dell'Unione Matematica Italiana (2003)

  • Volume: 6-B, Issue: 1, page 111-123
  • ISSN: 0392-4041

Abstract

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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.

How to cite

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Gerardi, Anna, and Torti, Barbara. "Symmetric models for lifetimes: the role of exchangeable equivalence relations." Bollettino dell'Unione Matematica Italiana 6-B.1 (2003): 111-123. <http://eudml.org/doc/196163>.

@article{Gerardi2003,
abstract = {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.},
author = {Gerardi, Anna, Torti, Barbara},
journal = {Bollettino dell'Unione Matematica Italiana},
language = {eng},
month = {2},
number = {1},
pages = {111-123},
publisher = {Unione Matematica Italiana},
title = {Symmetric models for lifetimes: the role of exchangeable equivalence relations},
url = {http://eudml.org/doc/196163},
volume = {6-B},
year = {2003},
}

TY - JOUR
AU - Gerardi, Anna
AU - Torti, Barbara
TI - Symmetric models for lifetimes: the role of exchangeable equivalence relations
JO - Bollettino dell'Unione Matematica Italiana
DA - 2003/2//
PB - Unione Matematica Italiana
VL - 6-B
IS - 1
SP - 111
EP - 123
AB - 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.
LA - eng
UR - http://eudml.org/doc/196163
ER -

References

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  1. ALDOUS, D. J., Exchangeability and related topics, Lect. Notes in Math., Springer (1983). Zbl0562.60042MR883646
  2. BILLINGSLEY, P., Probability and measures, J. Wiley (1979). Zbl0411.60001MR534323
  3. GERARDI, A.- SPIZZICHINO, F.- TORTI, B., Exchangeable mixture models for lifetimes: the role of «occupation numbers», Stat. Probab. Letters, 49 (2000). Zbl1146.62313MR1796481
  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). Zbl0967.62082MR1782456
  5. KINGMAN, J. F. C., The representation of partitions structures, J. London Math. Soc., 18 (1978). Zbl0415.92009MR509954
  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). Zbl0494.92011MR675968
  7. KINGMAN, J. F. C., The coalescent, Stoch. Proc. Appl., 13 (1982). Zbl0491.60076MR671034
  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). Zbl0897.62111

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