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Sigma algebra/Related Articles

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

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  • Almost sure convergence [r]: The probability that the given sequence of random variables converges is 1. [e]
  • 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]
  • 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]
  • Martingale [r]: A stochastic process that can be viewed as an abstraction of the notion of a "fair game". [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]
  • Measure theory [r]: Generalization of the concepts of length, area, and volume, to arbitrary sets of points not composed of line segments or rectangles. [e]
  • Probability distribution [r]: Function of a discrete random variable yielding the probability that the variable will have a given value. [e]
  • Probability [r]: a numerical measure - on a scale of 0 to 1 - of the likelihood of an event, based either upon objective evidence or upon subjective judgement. [e]
  • Random variable [r]: a variable whose value is determined by chance rather than as a result of a known cause. [e]
  • Sigma (disambiguation) [r]: Add brief definition or description