Sentence examples for matrix of the random from inspiring English sources

From the above random effects, the covariance matrix of the random effects [13] can be calculated as follows: (11).

As a consequence, if M ≜ E{(x m  − γ)(x m  − γ) H } is the covariance matrix of the random vector x m, then Σ = N/tr ⋅ M.

The SKLD is obtained by solving a generalized eigenproblem defined by combining the covariance matrix of the random field with that of the associated time-derivative random field.

The Fisher information matrix of the random effects logistic regression model is proved to be equivalent to the information matrix of the linearized model, which depends on some integrals.

Proving Q 22 ≥ 0 : Proving Q 22 ≥ 0 : Q 22 is the covariance matrix of the random value z, therefore, it is positive-semi-definite. 2. Inequality ⦀ W ⦀ < l p :  .

Also, we denote the covariance matrix of the random vector ∑ j = 1 N h ̂ j † x ̂ j + z by C 0. It is easy to see that the matrix C 0 is positive definite.

An inverse-Wishart with parameters V = 1, ν = 0.002 is the prior distribution of the covariance matrix of the random-effects.

To address this issue, and reduce the number of parameters to be estimated, we conducted reduced rank analyses that estimated variance functions by eigen-decomposition of the corresponding covariance matrices of the random regression coefficients.

The normal correlations can be calculated if the joint covariance matrix of the two random variables is known.

We show how the spectrum of this matrix is related to the spectrum of the transition matrix of the classical random walk.

Three different approximations are proposed and thus modulated for the three frequency ranges wherein the dynamic matrix of the considered random and convective load has different characteristics.