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Duration Models and Point Processes

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  • Jean-Pierre Florens

    (Crest)

  • Denis Fougère

    (Crest)

  • Julien Pouget

    (Crest)

  • Michel Mouchart

    (Crest)

Abstract

This survey is devoted to the statistical analysis of duration models and pointprocesses. The first section introduces specific concepts and definitions forsingle-spell duration models. Section two is devoted to the presentation ofconditional duration models which incorporate the effects of explanatoryvariables. Competing risks models are presented in the third section. Thefourth section is concerned with statistical inference, with a special emphasison non- and semi- parametric estimation of single-spell duration models.Section 5 sets forth the main definitions for point and counting processes.Section 6 presents important elementary examples of point processes, namelyPoisson, Markov and semi-Markov processes. The last section presents ageneral semi-parametric framework for studying point processes withexplanatory variables.

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Bibliographic Info

Paper provided by Centre de Recherche en Economie et Statistique in its series Working Papers with number 2007-37.

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Length: 60
Date of creation: 2007
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Handle: RePEc:crs:wpaper:2007-37

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  1. Ridder, Geert, 1990. "The Non-parametric Identification of Generalized Accelerated Failure-Time Models," Review of Economic Studies, Wiley Blackwell, vol. 57(2), pages 167-81, April.
  2. Kiefer, Nicholas M, 1988. "Economic Duration Data and Hazard Functions," Journal of Economic Literature, American Economic Association, vol. 26(2), pages 646-79, June.
  3. Heckman, J & Singer, B, 1984. "The Identifiability of the Proportional Hazard Model," Review of Economic Studies, Wiley Blackwell, vol. 51(2), pages 231-41, April.
  4. Fourgeaud C & Gourieroux Christian & Pradel J, 1987. "Heterogeneity and hazard dominance in duration data models," CEPREMAP Working Papers (Couverture Orange) 8736, CEPREMAP.
  5. Van den Berg, Gerard J., 2000. "Duration Models: Specification, Identification, and Multiple Durations," MPRA Paper 9446, University Library of Munich, Germany.
  6. Jaap H. Abbring & Gerard J. van den Berg, 2003. "The Nonparametric Identification of Treatment Effects in Duration Models," Econometrica, Econometric Society, vol. 71(5), pages 1491-1517, 09.
  7. Melino, Angelo & Sueyoshi, Glenn T., 1990. "A simple approach to the identifiability of the proportional hazards model," Economics Letters, Elsevier, vol. 33(1), pages 63-68, May.
  8. Honore, Bo E, 1993. "Identification Results for Duration Models with Multiple Spells," Review of Economic Studies, Wiley Blackwell, vol. 60(1), pages 241-46, January.
  9. Elbers, Chris & Ridder, Geert, 1982. "True and Spurious Duration Dependence: The Identifiability of the Proportional Hazard Model," Review of Economic Studies, Wiley Blackwell, vol. 49(3), pages 403-09, July.
  10. Heckman, James J. & Singer, Burton, 1984. "Econometric duration analysis," Journal of Econometrics, Elsevier, vol. 24(1-2), pages 63-132.
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