Sentence examples for arbitrary variance from inspiring English sources

The discrete forms are applicable to systems of arbitrary variance and correlation scales.

For MMSE estimators, is modeled as a complex normal random variable with zero mean and arbitrary variance [44 49], and is uncorrelated with.

(i) The porosity fluctuations are assumed to have Gaussian properties and an arbitrary variance; (ii) we assume that the noise correlation length is small compared to the relevant macroscopic length scale; (iii) and we assume that the kinetics of the reactive term in the equations for the fluctuations is a self-consistently determined constant.

Negative binomial distributions were simulated using three arbitrary variances (13.3, 40 and 70), with the latter value comparable to the observed variance from the ASAP control group.

The model is then extended to incorporate arbitrary demand variance at the retailers.

The chain conformation of a fixed θ, l and an arbitrary small variance of φ, could be determined in this manner.

Failure to account for these correlations may produce unstable regression coefficients that are influenced by outlying points and may not be readily interpretable for certain combinations of foods due to the arbitrary partitioning of variance between them.

The likelihood conditional on diplotype states, p y| θ, Δ), is specified in terms of a GLMM with linear predictor (11 where terms are included above for fixed effects α based on covariates in x i and for an arbitrary set of variance components ℛ, each with incidence vector z i (r ) and effect vector modeled as u (r ) ∼ N (0, R (r ) τ r 2 ).

To compute the mean and variance of arbitrary mixture models we proceed as follows.

Unlike metric traits, coefficients of variation are unsuited to estimate variability in coloration because colours are often quantified using arbitrary scales and thus their variance does not scale with the mean [12].

In contrast, a poor choice of the w i can increase variance by an arbitrary amount.