random variable
English edit
Noun edit
random variable (plural random variables)
- (statistics, broadly) A quantity whose value is random and to which a probability distribution is assigned, such as the possible outcome of a roll of a dice.
- (statistics, formally) A measurable function from a sample space to the measurable space of possible values of the variable.
- 1996, Ron C. Mittelhammer, Mathematical Statistics for Economics and Business, volume 78, Springer, page 45:
- Henceforth the symbol will be used for the random variable .
- 2009, Christian Perwass, Geometric Algebra with Applications in Engineering, Springer, page 351:
- The particular example considered here is the Hilbert space of random variables.
- 2012, Scott Miller, Donald Childers, Probability and Random Processes, 2nd edition, Elsevier (Academic Press), page 177:
- A two-dimensional random variable is a mapping of the points in the sample space to ordered pairs {x, y}. Usually, when dealing with a pair of random variables, the sample space naturally partitions itself so that it can be viewed as a combination of two simpler sample spaces.
Usage notes edit
Especially in discrete cases, a random variable is sometimes said to be indexed by the domain of its defining function, leading to notations such as and to represent particular values of the codomain.
![{\displaystyle X[n]}](https://wikimedia.org/api/rest_v1/media/math/render/svg/8df678dc1c1a7d63c2dea9e654bd84bc82f772fe)
Synonyms edit
- variate
- (broadly): random quantity
- (broadly, formally): aleatory variable, stochastic variable
Derived terms edit
Translations edit
measurable function from a sample space
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