Principe d'invariance sur le processus de vraisemblance

Jean Deshayes; Dominique Picard

Annales de l'I.H.P. Probabilités et statistiques (1984)

  • Volume: 20, Issue: 1, page 1-20
  • ISSN: 0246-0203

How to cite

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Deshayes, Jean, and Picard, Dominique. "Principe d'invariance sur le processus de vraisemblance." Annales de l'I.H.P. Probabilités et statistiques 20.1 (1984): 1-20. <http://eudml.org/doc/77221>.

@article{Deshayes1984,
author = {Deshayes, Jean, Picard, Dominique},
journal = {Annales de l'I.H.P. Probabilités et statistiques},
keywords = {invariance principle; likelihood process; weak convergence},
language = {fre},
number = {1},
pages = {1-20},
publisher = {Gauthier-Villars},
title = {Principe d'invariance sur le processus de vraisemblance},
url = {http://eudml.org/doc/77221},
volume = {20},
year = {1984},
}

TY - JOUR
AU - Deshayes, Jean
AU - Picard, Dominique
TI - Principe d'invariance sur le processus de vraisemblance
JO - Annales de l'I.H.P. Probabilités et statistiques
PY - 1984
PB - Gauthier-Villars
VL - 20
IS - 1
SP - 1
EP - 20
LA - fre
KW - invariance principle; likelihood process; weak convergence
UR - http://eudml.org/doc/77221
ER -

References

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  1. [1] P.J. Bickel, M.J. Wichura, Convergence criteria for multiparameter stochastic processes and some applications, A. M. S., t. 42, 1971, p. 1656-1670. Zbl0265.60011MR383482
  2. [2] P. Billingsley, Convergence of probability measures, Wiley (1968). Zbl0172.21201MR233396
  3. [3] Z.W. Birnbaum, A.W. Marshall, Some multivariate Chebyshev inequalities with extensions to continuous parameter processes, A. M. S., t. 32, 1961, p. 687-703. Zbl0114.08004MR148106
  4. [4] N.N. Chensov, Limit theorems for some classes of random functions. Proceedings All Union Conf. Theory Proba and Math. Statistics (Erevan, 1958). Izdat. Akad. Nauk Armjan SSR. Erevan, 1960, p. 280-285. 
  5. [5] I.A. Ibragimov, R.Z. Khasminskii, Asymptotic behaviour of statistical estimators in the smooth case I. Study of the likelihood ratio. Theory of probability and applications, t. 17, 1972, p. 445-462. Zbl0273.62019
  6. [6] I.A. Ibragimov, R.Z. Khasminskii, Statistical Estimation. Asymptotic theory. Applications of mathematics, t. 16, Springer-Verlag (1981). Zbl0467.62026MR620321
  7. [7] L. Lecam, On the assumption used to prove asymptotic normality of maximum likelihood estimates, A. M. S., t. 41, 1970, p. 802-828. Zbl0246.62039MR267676
  8. [8] T. Parthasarathy, Selection theorems and their applications, Lecture Notes in Mathematics, t. 263, Springer-Verlag. Zbl0239.54011MR417368
  9. [9] R. Pyke, G.R. Shorack, Weak convergence of a two-sample empirical process and a new approach to Chernoff-Savage theorems, A. M. S., t. 39, 1968. Zbl0159.48004MR226770
  10. [10] M. Yor, Le drap brownien comme limite en loi de temps locaux linéaires, 1981 (à paraître). Zbl0514.60075
  11. [11] J. Deshayes, D. Picard, Testing for a change point in statistical models, Prépublicationd'Orsay, t. 52, 1980. 
  12. [12] J. Deshayes, D. Picard, Ruptures de modèles en statistique, thèses d'État, Université Paris-Sud (mai 1983). 

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