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