# expected value

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## expected value

[ek′spek·təd ′val·yü]
(mathematics)
For a random variable x with probability density function ƒ(x), this is the integral from -∞ to ∞ of (x) dx. Also known as expectation.
For a random variable x on a probability space (Ω, P), the integral of x with respect to the probability measure P.
(systems engineering)
In decision theory, a measure of the value or utility expected to result from a given strategy, equal to the sum over states of nature of the product of the probability of the state times the consequence or outcome of the strategy in terms of some value or utility parameter. Abbreviated EV. Also known as expected utility (EU).
McGraw-Hill Dictionary of Scientific & Technical Terms, 6E, Copyright © 2003 by The McGraw-Hill Companies, Inc.
References in periodicals archive ?
As mentioned above, [[partial derivative].sub.k] and [[partial derivative].sup.*.sub.k] are the annihilation and creation operators on [L.sup.2](Z), respectively, and [P.sub.k] = E[* | [F.sub.k]] is the conditional expectation operator on [L.sup.2](Z).
where [E.sub.n] denotes the expectation operator over the distribution of [mathematical expression not reproducible] is contractual strike price, b is positive constants, N(x) is the cumulative normal distribution function, and
A subscript (t) of expectation operator (E), representing the current period, is dropped for simplicity.
A finite Taylor series expansion implies that exact moments of Q (treated as a random variable) can be computed by direct application of an expectation operator Eon Q, [Q.sup.2], [Q.sup.3], etc., assuming that all [q.sup.S] [sub.i] are independent random variables.

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