Problème d'identification dans le modèle de Cox

R. Senoussi

Annales de l'I.H.P. Probabilités et statistiques (1990)

  • Volume: 26, Issue: 1, page 45-64
  • ISSN: 0246-0203

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Senoussi, R.. "Problème d'identification dans le modèle de Cox." Annales de l'I.H.P. Probabilités et statistiques 26.1 (1990): 45-64. <http://eudml.org/doc/77374>.

@article{Senoussi1990,
author = {Senoussi, R.},
journal = {Annales de l'I.H.P. Probabilités et statistiques},
keywords = {Kullback information; Akaike's likelihood method; dimension of survival statistical model; censored data; Fisher's information; Cox's partial likelihood; strong consistency; convergence in distribution; iterated logarithm law},
language = {fre},
number = {1},
pages = {45-64},
publisher = {Gauthier-Villars},
title = {Problème d'identification dans le modèle de Cox},
url = {http://eudml.org/doc/77374},
volume = {26},
year = {1990},
}

TY - JOUR
AU - Senoussi, R.
TI - Problème d'identification dans le modèle de Cox
JO - Annales de l'I.H.P. Probabilités et statistiques
PY - 1990
PB - Gauthier-Villars
VL - 26
IS - 1
SP - 45
EP - 64
LA - fre
KW - Kullback information; Akaike's likelihood method; dimension of survival statistical model; censored data; Fisher's information; Cox's partial likelihood; strong consistency; convergence in distribution; iterated logarithm law
UR - http://eudml.org/doc/77374
ER -

References

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  1. [1] A. Akaïré, A new look at the statistical model identification, I.E.E.E. Trans. Auto. Control, vol. AC-19, n° 6, 1974. Zbl0314.62039
  2. [2] P.K. Andersen et R.D. Gill, Cox's regression model for counting process: A large sample study, Ann. Stat., vol. 10, n° 4, 1982. Zbl0526.62026MR673646
  3. [3] D.R. Cox, Partial likelihood, Biometrika, vol. 62, 1975. Zbl0312.62002MR400509
  4. [4] D. Dacunha-Castelle et M. Duflo, Probabilités et Statistiques, tome 2: Problèmes à temps mobile, Masson, Paris, 1983. Zbl0535.62004MR732786
  5. [5] H. Finkelstein, The law of the iterated logarithm for empirical distribution, Ann. Math. Stat., vol. 42, n° 2, 1971. Zbl0227.62012MR287600
  6. [6] T. Naes, The asymptotic distribution of the estimator for the regression parameter in Cox's regression model, Scand. J. Stat., vol. 9, 1982. Zbl0488.62049MR668686
  7. [7] R.R. Rao, The law of large number for D [0, 1] valued random variables, Theor. Probab. Appl., vol. 8, 1963. Zbl0122.13303
  8. [8] T. Rockafellar, Convex analysis, Princeton University Press, 1970. Zbl0193.18401MR274683
  9. [9] R. Senoussi, Statistique asymptotique p. s. de modèles statistiques convexes, Ann. Inst. Henri-Poincaré : Probabilités et Statistiques, vol. 26, n° 1, 1989. Zbl0777.62089MR1075437
  10. [10] A.A. Tsiatis, A large sample study of Cox's regression model, Ann. Stat., vol. 9, 1981. Zbl0455.62019MR600535

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