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Duration Models and Point Processes

Author

Listed:
  • 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.

Suggested Citation

  • Jean-Pierre Florens & Denis Fougère & Julien Pouget & Michel Mouchart, 2007. "Duration Models and Point Processes," Working Papers 2007-37, Center for Research in Economics and Statistics.
    • Handle: RePEc:crs:wpaper:2007-37
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    References listed on IDEAS

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    1. R. A. Kortram & A. C. M. van Rooij & A. J. Lenstra & G. Ridder, 1995. "Constructive identification of the mixed proportional hazards model," Statistica Neerlandica, Netherlands Society for Statistics and Operations Research, vol. 49(3), pages 269-281, November.
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    7. Van den Berg, Gerard J., 2001. "Duration models: specification, identification and multiple durations," Handbook of Econometrics, in: J.J. Heckman & E.E. Leamer (ed.), Handbook of Econometrics, edition 1, volume 5, chapter 55, pages 3381-3460, Elsevier.
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    More about this item

    JEL classification:

    • C41 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: Special Topics - - - Duration Analysis; Optimal Timing Strategies
    • C33 - Mathematical and Quantitative Methods - - Multiple or Simultaneous Equation Models; Multiple Variables - - - Models with Panel Data; Spatio-temporal Models
    • C44 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: Special Topics - - - Operations Research; Statistical Decision Theory
    • C51 - Mathematical and Quantitative Methods - - Econometric Modeling - - - Model Construction and Estimation

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