Measure theory/Related Articles

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A list of Citizendium articles, and planned articles, about Measure theory.
See also changes related to Measure theory, or pages that link to Measure theory or to this page or whose text contains "Measure theory".

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  • Borel set [r]: A set that belongs to the σ-algebra generated by the open sets of a topological space. [e]
  • Caratheodory extension theorem [r]: A countably additive non-negative function on an algebra of subsets extends to a measure. [e]
  • Conditioning (probability) [r]: Conditional probabilities, conditional expectations and conditional distributions are treated on three levels. [e]
  • Continuous probability distribution [r]: Probability distribution where variables can take on arbitrary values in a continuum. [e]
  • Discrete probability distribution [r]: Class of probability distributions in which the values that might be observed are restricted to being within a pre-defined list of possible values. [e]
  • Measurable function [r]: Function on a measurable space to a measurable space such that the inverse image of a measurable set is a measurable set. [e]
  • Measurable space [r]: Set together with a sigma-algebra of subsets of this set. [e]
  • Measure (mathematics) [r]: Systematic way to assign to each suitable subset a number, intuitively interpreted as the size of the subset. [e]
  • Measure space [r]: Set together with a sigma-algebra of subsets of the set and a measure defined on this sigma-algebra. [e]
  • Probability distribution [r]: Function of a discrete random variable yielding the probability that the variable will have a given value. [e]
  • Sigma algebra [r]: A formal mathematical structure intended among other things to provide a rigid basis for measure theory and axiomatic probability theory. [e]
  • Stochastic process [r]: Family of random variables, dependent upon a parameter which usually denotes time. [e]
  • Vitali set [r]: Set of real numbers such that the difference of any two members of the set is an irrational number and any real number is the sum of a rational number and a member of the set. [e]