Noun

random variable (plural random variables)Category:English lemmas#RANDOMVARIABLECategory:English nouns#RANDOMVARIABLECategory:English countable nouns#RANDOMVARIABLECategory:English multiword terms#RANDOMVARIABLECategory:English entries with incorrect language header#RANDOMVARIABLECategory:Pages with entries#RANDOM%20VARIABLECategory:Pages with 1 entry#RANDOM%20VARIABLE

1. (statisticsCategory:en:Statistics#RANDOMVARIABLE, loosely) 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.
2. (statisticsCategory:en:Statistics#RANDOMVARIABLE, 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 ${\displaystyle X(w)}$ will be used for the random variable ${\displaystyle X:S\rightarrow \mathbb {R} }$.

     Category:English terms with quotations#RANDOMVARIABLE

   • 2009, Christian Perwass, Geometric Algebra with Applications in Engineering, Springer, page 351:

     The particular example considered here is the Hilbert space of random variables.

     Category:English terms with quotations#RANDOMVARIABLE

   • 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.

     Category:English terms with quotations#RANDOMVARIABLE