Spelling suggestions: "subject:"modes off convergence"" "subject:"modes oof convergence""
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On the convergence of random functions defined by interpolationStarkloff, Hans-Jörg, Richter, Matthias, vom Scheidt, Jürgen, Wunderlich, Ralf 31 August 2004 (has links) (PDF)
In the paper we study sequences of random functions which are defined by some
interpolation procedures for a given random function. We investigate the problem
in what sense and under which conditions the sequences converge to the prescribed
random function. Sufficient conditions for convergence of moment characteristics, of
finite dimensional distributions and for weak convergence of distributions in spaces
of continuous functions are given. The treatment of such questions is stimulated by
an investigation of Monte Carlo simulation procedures for certain classes of random
functions.
In an appendix basic facts concerning weak convergence of probability measures
in metric spaces are summarized.
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On the convergence of random functions defined by interpolationStarkloff, Hans-Jörg, Richter, Matthias, vom Scheidt, Jürgen, Wunderlich, Ralf 31 August 2004 (has links)
In the paper we study sequences of random functions which are defined by some
interpolation procedures for a given random function. We investigate the problem
in what sense and under which conditions the sequences converge to the prescribed
random function. Sufficient conditions for convergence of moment characteristics, of
finite dimensional distributions and for weak convergence of distributions in spaces
of continuous functions are given. The treatment of such questions is stimulated by
an investigation of Monte Carlo simulation procedures for certain classes of random
functions.
In an appendix basic facts concerning weak convergence of probability measures
in metric spaces are summarized.
|
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Introduction to some modes of convergence : Theory and applicationsBolibrzuch, Milosz January 2017 (has links)
This thesis aims to provide a brief exposition of some chosen modes of convergence; namely uniform convergence, pointwise convergence and L1 convergence. Theoretical discussion is complemented by simple applications to scientific computing. The latter include solving differential equations with various methods and estimating the convergence, as well as modelling problematic situations to investigate odd behaviors of usually convergent methods.
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