In mathematics, weak convergence may refer to:
- The weak convergence of random variables of a probability distribution. Mathematics is the body of Knowledge and Academic discipline that studies such concepts as Quantity, Structure, Space and In Probability theory, there exist several different notions of Convergence of Random variables The convergence (in one of the senses presented below of Sequences In Probability theory and Statistics, a probability distribution identifies either the probability of each value of an unidentified Random variable
- The weak convergence of a sequence of probability measures. In Mathematics, there are various notions of the convergence of measures in Measure theory.
- The weak convergence of a sequence in a Hilbert space, or, more generally, convergence in weak topology in a Banach space or a topological vector space. In Mathematics, weak convergence is a type of Convergence of a Sequence of points in a Hilbert space (and more generally in a Banach space This article assumes some familiarity with Analytic geometry and the concept of a limit. In Mathematics, weak topology is an alternative term for Initial topology. In Mathematics, Banach spaces (ˈbanax named after Polish Mathematician Stefan Banach) are one of the central objects of study in Functional analysis In Mathematics, a topological vector space is one of the basic structures investigated in Functional analysis.
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