2013Journal of Huanggang Normal UniversityRequires access

An example of 4 types of convergence

Long Wang

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Abstract

With uncertainty theory,convergence in measure and convergence in distribution can be deduced by using a given convergence in mean.On the premise mentioned above,an example is presented,through which we discuss whether or not 4 types of convergence exist: convergence almost everywhere,convergence in mean,convergence in measure,and convergence in distribution.

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What this paper is about

With uncertainty theory,convergence in measure and convergence in distribution can be deduced by using a given convergence in mean.On the premise mentioned above,an example is presented,through which we discuss whether or not 4 types of convergence exist: convergence almost everywhere,convergence in mean,convergence in measure,and convergence in distribution.

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Available abstract

With uncertainty theory,convergence in measure and convergence in distribution can be deduced by using a given convergence in mean.On the premise mentioned above,an example is presented,through which we discuss whether or not 4 types of convergence exist: convergence almost everywhere,convergence in mean,convergence in measure,and convergence in distribution.

Key concepts: Convergence (economics), Normal convergence, Compact convergence, Convergence tests, Dominated convergence theorem, Modes of convergence (annotated index), Measure (data warehouse), Symbolic convergence theory

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