Sentence examples for unknown variances from inspiring English sources

For example, it is assumed that, for t ≠ s, the infinitesimal random increments dA t) = A(t + dt) − A t) and A(s + ds) − A(s) caused by collisions of the particle with molecules of the surrounding medium are independent random variables having distributions with mean 0 and unknown variances σ2 dt and σ2 ds and that dA t) is independent of dV(s) for s < t.

An important consequence of averaging the equations of motion is the appearance of turbulent flux-divergence terms that contain unknown variances and covariances.

Both the level and the power of the proposed test associated with the hypotheses are controllable and they are completely independent of the unknown variances.

It is found that the distributions of the test statistics based on the weighted sample means are completely independent of the unknown variances.

A random effect is one where the contribution from that variable for a particular measurement is a sample of a random variable; in this work, all the random variables were assumed to have zero-mean normal distributions with unknown variances.

Rapidly changing operating conditions for machine tools, however, may lead to unknown variances of technical features having a known expectation and make it difficult to constantly ensure accuracy in production processes.

Gaussian random variables with zero mean and unknown variance σ2.

Finally, is an Additive White Gaussian Noise (AWGN) sequence with zero mean and an unknown variance.

Furthermore, the DA-based SMC overestimates the unknown variance (see Fig. 5).

where w i,j) is modeled as zero-mean Gaussian noise with unknown variance.

An essential design parameter of variables schemes is the unknown variance σ2W of the de facto values.