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The integral of an integrable real-valued random variable, equivalently its first moment with respect to its distribution.
Extended expectations can be defined for nonnegative random variables; the finite real-valued expectation here requires integrability.
wp-expected-valuenlab-physics-expectation-valuedurrett-probabilityEach relation below ends at this concept.
This is an authored directed relation from the source endpoint to the target endpoint.
A real probability distribution with finite absolute first moment determines its mean by integrating the identity function.
Apply a standard functorial or canonical construction whose output is not merely a reduct of the input and is not generally an equivalent presentation of the same object.
wp-expected-valuewp-probability-distributiondurrett-probabilityThis is an authored directed relation from the source endpoint to the target endpoint.
A real-valued random variable with finite absolute first moment has expectation .
Apply a standard functorial or canonical construction whose output is not merely a reduct of the input and is not generally an equivalent presentation of the same object.
wp-expected-valuenlab-physics-expectation-valuedurrett-probabilityEach relation below starts at this concept.
No direct relations are authored in this direction.