Sentence examples for implied independence from inspiring English sources

The presence of autocorrelation in squared returns is then inconsistent with this implied independence.

Additionally, by using elements of t and elements of t C as samples from their underlying distributions, we de facto assume that elements of t are independent, and elements of t C are independent, which further implies independence of genes.

It is important to note that Beclin-1-independent autophagy does not always imply independence from Vps34.

This condition is weaker than K-mixing because it only states that the future is independent of isolated events in the remote past, while K-mixing implies independence of the entire remote past history.

Diversity, it was hoped, would imply independence.

The statistical independence between VPEL and PVP implies independence between the mechanisms that give rise to them.

In addition, notice that θ 1=θ 2=0 implies independence between X 1 and X 2. 2..

Finally, the residual independence test (BDS test) was applied, where the null hypothesis implies independence of residuals; in this case only the UC-CNP model rejects independence.

So (mathcal {T}_{n}capmathcal {T}_{k}=emptyset), which, due to independence of (xi_{i}), implies independence of (H^{s}(n)) and (H^{s} k)).

Notably, marginal Gaussianity of spike counts in each neuron combined with zero count cross-correlation is not sufficient to imply independence.

Striking resemblance between the relaxation rate constants of CO2 sorption in lumps and powder implies independence of the underlying processes from the apparent particle size.