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Inference in Mixed Proportional Hazard Models with K Random Effects

  • Guillaume Horny.

A general formulation of Mixed Proportional Hazard models with K random effects is provided. It enables to account for a population stratified at K different levels. We then show how to approximate the partial maximum likelihood estimator using an EM algorithm. In a Monte Carlo study, the behavior of the estimator is assessed and I provide an application to the ratification of ILO conventions. Compared to other procedures, the results indicate an important decrease in computing time, as well as improved convergence and stability.

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Paper provided by Banque de France in its series Working papers with number 248.

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Length: 29 pages
Date of creation: 2009
Date of revision:
Handle: RePEc:bfr:banfra:248
Contact details of provider: Postal: Banque de France 31 Rue Croix des Petits Champs LABOLOG - 49-1404 75049 PARIS
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  1. Hien T.V. Vu & Matthew W. Knuiman, 2002. "Estimation in Semiparametric Marginal Shared Gamma Frailty Models," Australian & New Zealand Journal of Statistics, Australian Statistical Publishing Association Inc., vol. 44(4), pages 489-501, December.
  2. Bernhard Boockmann. & Dragana Djurdjevic. & Guillaume Horny. & François Laisney., 2009. "Bayesian estimation of Cox models with non-nested random effects: an application to the ratification of ILO conventions by developing countries," Working papers 249, Banque de France.
  3. Van den Berg, Gerard J., 2000. "Duration Models: Specification, Identification, and Multiple Durations," MPRA Paper 9446, University Library of Munich, Germany.
  4. Moulton, Brent R., 1986. "Random group effects and the precision of regression estimates," Journal of Econometrics, Elsevier, vol. 32(3), pages 385-397, August.
  5. Samuel Manda & Renate Meyer, 2005. "Age at first marriage in Malawi: a Bayesian multilevel analysis using a discrete time-to-event model," Journal of the Royal Statistical Society Series A, Royal Statistical Society, vol. 168(2), pages 439-455.
  6. Bernhard Boockmann, 2001. "The ratification of ILO conventions: A hazard rate analysis," Economics and Politics, Wiley Blackwell, vol. 13(3), pages 281-309, November.
  7. Christian GOURIEROUX & Irina PEAUCELLE, 1990. "Hétérogénéité - 1. Etude des biais d'estimation dans le cas linéaire," Annals of Economics and Statistics, GENES, issue 17, pages 163-183.
  8. Vu, Hien T. V., 2004. "Estimation in semiparametric conditional shared frailty models with events before study entry," Computational Statistics & Data Analysis, Elsevier, vol. 45(3), pages 621-637, April.
  9. Pakes, Ariel, 1983. "On Group Effects and Errors in Variables in Aggregation," The Review of Economics and Statistics, MIT Press, vol. 65(1), pages 168-73, February.
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