Measure theory/Related Articles: Difference between revisions
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Revision as of 19:46, 11 September 2009
- 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]