Sentence examples for define the expected value from inspiring English sources

After discussing the duality of the mean chances, we use the mean chances to define the expected value operators of a fuzzy random variable via Choquet integrals.

Let us agree that a simple (real-valued) random variable on a test space A is a mapping f : E → R where E is a test in A. We define the expected value of f in a state ω ∈ ω(A) in the obvious way, namely, as the expected value of f with respect to the probability weight obtained by restricting ω to E (provided, of course, that this expected value exists).

Then we define the expected value of ξ by E[boldsymbol{xi}]=bigl(E[xi_{1}],E[xi_{2}],ldots,E[ xi_{k}]bigr).

The resonance level of fans with a given topic is measured by μ t = FTP t + RP t FTP t, and we define the expected value of μ t, E ( μ t ) as the active-ratio a q.

The set point can be defined as the expected value within the person's set range [ 3].

The ergodic capacity is defined as the expected value of the instantaneous maximum mutual information between and.

The average case for an input of size n is defined by the expected value or average over all inputs of size n.

Therefore, an analogous AF may be defined as the expected value of the response of the correlator matched to a target at a desired range moving at a desired velocity, to the return signal from the target at a different range moving at a different velocity.

where ({T}_{i}^{loss}) denotes the wasted durations in the ith spectrum hole h i which are caused by false alarms while (bar {D}_{H} = mu ), (bar {T}_{H}^{d} = bar {T}-bar {T}^{loss}), (bar {T}^{loss}) is defined as the expected value of the wasted spectrum duration (E{T_{i}^{loss} }) in ith spectrum hole.

The criterion for winning the game was the prediction error defined by the expected value of the continuous rank probability score [10] for continuous outcomes.

We now consider the marginal risk defined as the expected value of the random quantity R(T1, …,  T k )over all the random variables-factors T1, …,  T k.