On exhaustive families of random functions and certain types of convergence

DOI10.1080/17442508.2015.1052811zbMath1337.60048OpenAlexW2250503047MaRDI QIDQ2803518

Serpil Pehlivan, Celaleddin Şençimen

Publication date: 4 May 2016

Published in: Stochastics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17442508.2015.1052811

zbMATH Keywords

random functionsAlexandroff convergence in probabilitycontinuous convergence in probabilityequicontinuity in probabilityexhaustiveness in probability

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) General theory of stochastic processes (60G07) Foundations of stochastic processes (60G05) Probabilistic metric spaces (54E70)

Cites Work

• Unnamed Item
• Unnamed Item
• On statistical exhaustiveness
• Statistical convergence in function spaces
• Statistical convergence in probability for a sequence of~random functions
• The notion of exhaustiveness and Ascoli-type theorems
• Arzelà's theorem and strong uniform convergence on bornologies
• Random differential inequalities
• Multiplications on the space of probability distribution functions
• A metric for weak convergence of distribution functions
• A topology for spaces of transformations
• Ascoli-type theorems and ideal (α)-convergence
• Some remarks on functions with values in probabilistic normed spaces
• On E -Spaces and their Relation to Other Classes of Probabilistic Metric Spaces
• Statistical Metrics

This page was built for publication: On exhaustive families of random functions and certain types of convergence