Geodesic
On continuous convergence and epi-convergence of random functions. Part II: Sufficient conditions and applications
Kybernetika, Tome 39 (2003) no. 1, p. [99].

Voir la notice de l'article provenant de la source Czech Digital Mathematics Library

Part II of the paper aims at providing conditions which may serve as a bridge between existing stability assertions and asymptotic results in probability theory and statistics. Special emphasis is put on functions that are expectations with respect to random probability measures. Discontinuous integrands are also taken into account. The results are illustrated applying them to functions that represent probabilities.
Classification : 60B10, 62G05, 90C15, 90C31
Keywords: continuous convergence; epi-convergence; stochastic programming; stability; estimates 
@article{KYB_2003__39_1_a6,
     author = {Vogel, Silvia and Lachout, Petr},
     title = {On continuous convergence and epi-convergence of random functions. {Part} {II:} {Sufficient} conditions and applications},
     journal = {Kybernetika},
     pages = {[99]},
     publisher = {mathdoc},
     volume = {39},
     number = {1},
     year = {2003},
     mrnumber = {1980126},
     zbl = {1249.90185},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/KYB_2003__39_1_a6/}
}
TY  - JOUR
AU  - Vogel, Silvia
AU  - Lachout, Petr
TI  - On continuous convergence and epi-convergence of random functions. Part II: Sufficient conditions and applications
JO  - Kybernetika
PY  - 2003
SP  - [99]
VL  - 39
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/KYB_2003__39_1_a6/
LA  - en
ID  - KYB_2003__39_1_a6
ER  - 
%0 Journal Article
%A Vogel, Silvia
%A Lachout, Petr
%T On continuous convergence and epi-convergence of random functions. Part II: Sufficient conditions and applications
%J Kybernetika
%D 2003
%P [99]
%V 39
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/KYB_2003__39_1_a6/
%G en
%F KYB_2003__39_1_a6
Vogel, Silvia; Lachout, Petr. On continuous convergence and epi-convergence of random functions. Part II: Sufficient conditions and applications. Kybernetika, Tome 39 (2003) no. 1, p. [99]. http://geodesic.mathdoc.fr/item/KYB_2003__39_1_a6/