BACK to VOLUME 39 NO.1

Kybernetika 39(1):99-118, 2003.

On Continuous Convergence and Epi-convergence of Random Functions. Part II: Sufficient conditions and applications.

Silvia Vogel and Petr Lachout


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.


Keywords: continuous convergence; epi-convergence; stochastic programming; stability; estimates;


AMS: 90C15; 60B10; 62G05; 90C31;


download full-text.pdf
download abstract.pdf

BIB TeX

@article{kyb:2003:1:99-118,

author = {Vogel, Silvia and Lachout, Petr },

title = {On Continuous Convergence and Epi-convergence of Random Functions. Part II: Sufficient conditions and applications.},

journal = {Kybernetika},

volume = {39},

year = {2003},

number = {1},

pages = {99-118}

publisher = {{\'U}TIA, AV {\v C}R, Prague },

}


BACK to VOLUME 39 NO.1