Principes d'invariance et application à la statistique de modèles censurés
Thèses d'Orsay, no. 285 (1991) , 140 p. 
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     author = {Castelle, Nathalie},
     title = {Principes d'invariance et application \`a la statistique de mod\`eles censur\'es},
     series = {Th\`eses d'Orsay},
     year = {1991},
     publisher = {Universit\'e de Paris-Sud Centre d'Orsay},
     number = {285},
     language = {fr},
     url = {https://www.numdam.org/item/BJHTUP11_1991__0285__P0_0/}
}
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Castelle, Nathalie. Principes d'invariance et application à la statistique de modèles censurés. Thèses d'Orsay, no. 285 (1991), 140 p. https://www.numdam.org/item/BJHTUP11_1991__0285__P0_0/

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[1] Benett G., 1962. Probability inequalities for the sum of independants random variables. J. AM. Statis. Assoc., 57, 33-45 | Zbl | DOI

[2] Bretagnolle J. & Massart P., 1989. Hungarian constructions from the non asymptotic view point. Annals of probability, Vol 17, 239-256 | MR | Zbl | DOI

[3] Csörgö M. & Revesz P., 1981. Strong approximations in probability and statistics. Academic Press, New York, 133-134 | MR | Zbl

[4] Dvoretzky A. & Kiefer J.C. & Wolfowitz J., 1956. Asymptotic minimax character of the sample distribution function and of the classical multinomial estimator. Ann. Math. Stat., 33, 642-669 | MR | Zbl | DOI

[5] Kiefer J., 1969. On the deviations in the Skorohod-Strassen approximation scheme. Z. Wahrschein. Verw. Geb., 13, 321-332 | MR | Zbl | DOI

[6] Komlós J. & Major P. & Tusnády G., 1975. An approximation of partial sums of independent RV'- and the sample DF. I. Z. warschein. Verw. Geb., 32, 111-131 | MR | Zbl | DOI

[7] Massart P., 1990. The tight constant of the Dvorestsky-Kiefer-Wolfowitz inequality. A paraitre dans Annals of probability | MR | Zbl | DOI

[8] Shorack G.R. & Wellner J.A., 1986. Empirical processes with applications to statistics. Wiley & Sons. | MR | Zbl

[9] Skorohod A.V., 1976. On a representation of random variables. Th. Proba. Appl., 628-632 | Zbl

[10] Wellner J., 1978. Limit theorems for the ratio of the empirical distribution function to the true distribution function. Z.warschein. Verw. Geb., 45, 73-88 | MR | Zbl | DOI

[1] Benett G.,1962. Probability inequalities for the sum of independants random variables. J. AM. Statis. Assoc., 57, 33-45 | Zbl | DOI

[2] Bretagnolle J. & Massart P., 1989. Hungarian constructions from the non asymptotic view point. Annals of probability, Vol 17, 239-256 | MR | Zbl | DOI

[3] Burke M.D. & Csörgö S. & Horváth L., 1981. Strong Approximations of Some Biometric Estimates under Random Censorship. Z. Warschein. Verw. Geb., 56, 87-112 | MR | Zbl | DOI

[4] Komlós J. & Major P. & Tusnády G., 1975. An approximation of partial sums of independent RV'- and the sample DF. I. Z. Warschein. Verw. Geb., 32, 111-131 | MR | Zbl | DOI

[5] Shorack G.R. & Wellner J.A., 1986. Empirical processes with applications to statistics. Wiley & Sons. | MR | Zbl

[6] Wellner J., 1978 Limit theorems for the ratio of the empirical distribution function to the true distribution function. Z. Warschein. Verw. Geb., 45, 73-88 | MR | Zbl | DOI

[1] Andersen P.K. and Gill R.D. (1982) Cox's regression model for counting processes : a large sample study. Annals of Statistics, vol 10, 4, 1100-1120. | MR | Zbl | DOI

[2] Bennett G. (1962) Probability inequalities for the sum of independants random variables. J. AM. Statis. Assoc., 57, 33-45. | Zbl | DOI

[3] Bretagnolle J. and Massart P. (1989) Hungarian construction from the non asymptotic view point. Annals of Probability, vol 10, 239-256. | MR | Zbl

[4] Burke M.D., Csörgö S., Horváth L. (1981) Strong Approximations of Some Biometric Estimates under Random Censorship. Z. Warschein. Verw. Geb., 56, 87-112. | MR | Zbl | DOI

[5] Castelle N. Approximation forte d'un vecteur de processus empiriques. Voir 1ère partie, chapitre deux de cette thèse.

[6] Cox D.R and Oakes D. (1984) Analysis of Survival Data. Chapman & Hall. | MR

[7] Dvoretzky A., Kiefer J.C. and Wolfowitz J. (1956) Asymptotic minimal character of the sample distribution function and of the classical multinomial estimator. Ann. Math. Stat., 33, 642-669. | MR | Zbl | DOI

[8] Einmahl J.H.J. and Koning A.J. (1989) Limits theorems for a general weighted process under random censoring with applications. Medical Informatics and Statistics Report, 24. (University of Limburg)

[9] Gill R.D. (1980) Censoring and Stochastic Integrals. Mathematical Centre Tracts 124. Amsterdam: Mathematische Centre. | MR | Zbl

[10] Gill R.D. (1983) Large sample behaviour of the product-limit estimator on the whole line. Annals of Statistics, vol 11, 49-58. | MR | Zbl

[11] Harrington D. and Fleming T. (1982) A class of rank test procedures for censored survival data. Biometrika, 69, 3, 553-566. | MR | Zbl | DOI

[12] Massart P., 1990. The tight constant of the Dvorestsky-Kiefer-Wolfowitz inequality. A paraitre dans Annals of probability. | MR | Zbl | DOI

[13] Shorack G.R. & Wellner J.A. (1986) Empirical processes with applications to statistics. Wiley & Sons. | MR | Zbl

[14] Wellner J. (1978) Limit theorems for the ratio of the empirical distribution function to the true distribution function. Z. Warschein. Verw. Geb., 45, 73-88. | MR | Zbl | DOI