Dictionary

random variable en · NOUN

Meanings

1. (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.
2. (formal) A measurable function from a sample space to the measurable space of possible values of the variable.
   • 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. 2012, Scott Miller, Donald Childers, Probability and Random Processes, 2nd edition, Elsevier (Academic Press), page 177:
   • Henceforth the symbol X(w) will be used for the random variable X#58;S#92;rightarrow#92;mathbb#123;R#125;. 1996, Ron C. Mittelhammer, Mathematical Statistics for Economics and Business, volume 78, Springer, page 45:
   • The particular example considered here is the Hilbert space of random variables. 2009, Christian Perwass, Geometric Algebra with Applications in Engineering, Springer, page 351:

Forms

Deriveds

discrete random variable · continuous random variable

Synonyms

stochastic variable · random quantity · variate · aleatory variable

Translations (24)

cs náhodná veličina (measurable function from a sample space) · cy hapnewidyn (measurable function from a sample space) · pl zmienna losowa (measurable function from a sample space) · hu valószínűségi változó (measurable function from a sample space) · hu valváltozó (measurable function from a sample space) · eo stokasto (measurable function from a sample space) · mi taurangi matapōkere (measurable function from a sample space) · is slembibreyta (measurable function from a sample space) · ja 確率変数 (measurable function from a sample space) · es variable aleatoria (measurable function from a sample space) · tl alisagang aligin (measurable function from a sample space) · uk випадко́ва величина́ (measurable function from a sample space) · is slembistærð (measurable function from a sample space) · is slemba (measurable function from a sample space) · ro variabilă incidentală (measurable function from a sample space) · ro variabilă aleatorie (measurable function from a sample space) · de Zufallsvariable (measurable function from a sample space) · he משתנה מקרי (measurable function from a sample space) · ar مُتَغَيِّر عَشْوَائِيّ (measurable function from a sample space) · de Zufallsgröße (measurable function from a sample space) · fi satunnaismuuttuja (measurable function from a sample space) · el τυχαία μεταβλητή (measurable function from a sample space) · sv slumpvariabel (measurable function from a sample space) · is hending (measurable function from a sample space)