# statistical independence

(redirected from Mutually independent)

## statistical independence

[stə′tis·tə·kəl ‚in·də′pen·dəns]
(statistics)
Two events are statistically independent if the probability of their occurring jointly equals the product of their respective probabilities. Also known as stochastic independence.

## statistical independence

See CORRELATION.
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References in periodicals archive ?
We have de-hyphenated our relations with Palestine and Israel and now we see them both as mutually independent and exclusive..."[Quotation]
The target of independent source extraction is to estimate a specific source from the observations mixed by the source signals, where the source signals are mutually independent. It can be applied in various areas such as speech and image processing, biomedical signal processing, mechanical fault diagnosis, and wireless communication.
For the series system in Section 4.1, when the components are assumed to be mutually independent, the system lifetime PDF is shown in Figure 15.
"The Church and the political community work on different levels and are mutually independent, but they serve the same human beings," he said.
{[[theta].sub.k], k = 1, 2, 3, ...} and {[X.sub.k], k = 1, 2, 3, ...} are mutually independent. The occurrence times of the successive claims, [T.sub.n] = [[summation].sup.n.sub.k=1], [[theta].sub.k], n = 1, 2, 3, ..., constitute a renewal counting process
If h is the time step, then [I.sub.0] = h and for a scheme of weak order 1 we can replace the Gaussian increments [I.sub.(k)] by the two-point distributed mutually independent random variables [square root of [h].sub.[zeta]k] with P([zeta]k = [+ or -]1) = 1/2, k = 1, ..., d; see [11, Chapter 14.1].
(A2) The noises [??](t) and [??](t) are mutually independent and also independent of the true input and output signals [u.sub.0](t) and [y.sub.0](t).
The reason for using RS is that in common environments channel errors occur in bursts and often are not mutually independent .
Equations (13), (15), (2) along with (10) are mutually independent and give the same result for [F.sub.x] in a unique case where the field equations are satisfied, i.e., when is correctly computed with sufficient accuracy.
This means that they should involve at least two mutually independent legal entities - one main partner and one associated partner - established in two different eligible countries.

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