Study of the asymptotic behaviour of non-linear functionals for the empirical bridge via strong approximations Étude du comportement asymptotique de fonctionnelles non-linéaires du pont empirique via des approximations fortes

Corinne Berzin-Joseph; José R. León; Joaquín Ortega

doi:10.1016/S0764-4442(99)80099-8

Study of the asymptotic behaviour of non-linear functionals for the empirical bridge via strong approximations Étude du comportement asymptotique de fonctionnelles non-linéaires du pont empirique via des approximations fortes

Corinne Berzin-Joseph, José R. León, Joaquín Ortega

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

Abstract

We study the asymptotic behaviour of several non-linear functionals of the empirical bridge and obtain some applications to G-deviation in density estimation and to Kullback deviation convergence. © Académie des Sciences/Elsevier, Paris.

Original language	English (US)
Journal	Comptes Rendus de l'Academie des Sciences - Series I: Mathematics
Volume	327
Issue number	7
DOIs	https://doi.org/10.1016/S0764-4442(99)80099-8
State	Published - Jan 1 1998
Externally published	Yes

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Berzin-Joseph, C., León, J. R., & Ortega, J. (1998). Study of the asymptotic behaviour of non-linear functionals for the empirical bridge via strong approximations Étude du comportement asymptotique de fonctionnelles non-linéaires du pont empirique via des approximations fortes. Comptes Rendus de l'Academie des Sciences - Series I: Mathematics, 327(7). https://doi.org/10.1016/S0764-4442(99)80099-8

Berzin-Joseph, Corinne ; León, José R. ; Ortega, Joaquín. / Study of the asymptotic behaviour of non-linear functionals for the empirical bridge via strong approximations Étude du comportement asymptotique de fonctionnelles non-linéaires du pont empirique via des approximations fortes. In: Comptes Rendus de l'Academie des Sciences - Series I: Mathematics. 1998 ; Vol. 327, No. 7.

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abstract = "We study the asymptotic behaviour of several non-linear functionals of the empirical bridge and obtain some applications to G-deviation in density estimation and to Kullback deviation convergence. {\textcopyright} Acad{\'e}mie des Sciences/Elsevier, Paris.",

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Berzin-Joseph, C, León, JR & Ortega, J 1998, 'Study of the asymptotic behaviour of non-linear functionals for the empirical bridge via strong approximations Étude du comportement asymptotique de fonctionnelles non-linéaires du pont empirique via des approximations fortes', Comptes Rendus de l'Academie des Sciences - Series I: Mathematics, vol. 327, no. 7. https://doi.org/10.1016/S0764-4442(99)80099-8

Study of the asymptotic behaviour of non-linear functionals for the empirical bridge via strong approximations Étude du comportement asymptotique de fonctionnelles non-linéaires du pont empirique via des approximations fortes. / Berzin-Joseph, Corinne; León, José R.; Ortega, Joaquín.
In: Comptes Rendus de l'Academie des Sciences - Series I: Mathematics, Vol. 327, No. 7, 01.01.1998.

Research output: Contribution to journal › Article › peer-review

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Berzin-Joseph C, León JR, Ortega J. Study of the asymptotic behaviour of non-linear functionals for the empirical bridge via strong approximations Étude du comportement asymptotique de fonctionnelles non-linéaires du pont empirique via des approximations fortes. Comptes Rendus de l'Academie des Sciences - Series I: Mathematics. 1998 Jan 1;327(7). doi: 10.1016/S0764-4442(99)80099-8

Study of the asymptotic behaviour of non-linear functionals for the empirical bridge via strong approximations Étude du comportement asymptotique de fonctionnelles non-linéaires du pont empirique via des approximations fortes

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