On continuous convergence and epi-convergence of random functions. Part II: Sufficient conditions and applications

Silvia Vogel; Petr Lachout

Kybernetika (2003)

  • Volume: 39, Issue: 1, page [99]-118
  • ISSN: 0023-5954

Abstract

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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.

How to cite

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Vogel, Silvia, and Lachout, Petr. "On continuous convergence and epi-convergence of random functions. Part II: Sufficient conditions and applications." Kybernetika 39.1 (2003): [99]-118. <http://eudml.org/doc/33624>.

@article{Vogel2003,
abstract = {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.},
author = {Vogel, Silvia, Lachout, Petr},
journal = {Kybernetika},
keywords = {continuous convergence; epi-convergence; stochastic programming; stability; estimates; continuous convergence; epi-convergence; stability},
language = {eng},
number = {1},
pages = {[99]-118},
publisher = {Institute of Information Theory and Automation AS CR},
title = {On continuous convergence and epi-convergence of random functions. Part II: Sufficient conditions and applications},
url = {http://eudml.org/doc/33624},
volume = {39},
year = {2003},
}

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
PB - Institute of Information Theory and Automation AS CR
VL - 39
IS - 1
SP - [99]
EP - 118
AB - 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.
LA - eng
KW - continuous convergence; epi-convergence; stochastic programming; stability; estimates; continuous convergence; epi-convergence; stability
UR - http://eudml.org/doc/33624
ER -

References

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