Quasinormal convergence
Zuzana Bukovská (1991)
Mathematica Slovaca
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Zuzana Bukovská (1991)
Mathematica Slovaca
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Silvia Vogel, Petr Lachout (2003)
Kybernetika
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Continuous convergence and epi-convergence of sequences of random functions are crucial assumptions if mathematical programming problems are approximated on the basis of estimates or via sampling. The paper investigates “almost surely” and “in probability” versions of these convergence notions in more detail. Part I of the paper presents definitions and theoretical results and Part II is focused on sufficient conditions which apply to many models for statistical estimation and stochastic...
Somashekhar Naimpally (1987)
Czechoslovak Mathematical Journal
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Silvia Vogel, Petr Lachout (2003)
Kybernetika
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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.
R. Bartoszyński (1958)
Studia Mathematica
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