Assertion: random variable | /r/HasProperty | equal
Facets:
value: almost surely
type: DEGREE
value: in distribution
type: OTHER
value: to a certain value
type: OTHER
Source sentences:
text: Any random variable can be described by its cumulative distribution function, which describes the probability that the random variable will be less than or equal to a certain value.
text: Two random variables can be equal, equal almost surely, or equal in distribution.
text: To be equal in distribution, random variables need not be defined on the same probability space.
text: Two random variables X and Y are equal almost surely (denoted X = a.s.
text: Finally, the two random variables X and Y are equal if they are equal as functions on their measurable space: