The risk-free rate of return on the risk-free asset is r, an n x 1 vector of the expected excess rates of return is R - r, and the n x n non-singular

covariance matrix of risky assets' rates of return is [OMEGA].

1944e2 for a

covariance matrix A of order p = 4000.

t] is the

covariance matrix, D, is a diagonal matrix, whose elements comprise the conditional variance, [h.

Functions for which the correct

covariance matrix of the parameters is not readily available.

The absolute fit measures, maximum likelihood ratio chi-square statistic (X) and goodness-of-fit index (GFI), provide a measure of the extent to which the

covariance matrix estimated by the hypothesized model reproduces the observed

covariance matrix (James & Brett, 1984).

This conclusion follows from a simple matrix algebra analysis of

covariance matrix of the form

where: K is the matrix constructed from the covariance function k = (X, X'); and the equation above the probability of the set function F is regarded to be controlled by the

covariance matrix K.

Covariance matrix of all training samples (the following three equivalence) are:

The expected value (mean) and

covariance matrix are computed using the historical operating profit margin of a specified airline and region combination for the period 1990-2005.

Unlike standard regression models that predetermine relationships between explanatory and dependent variables, GP models specify the structure of the

covariance matrix of explanatory variables.

Levene's test for equality of error variance showed no significant difference at any of the four blocks, nor did the blocks show departure from normality as measured by Mauchly's test of sphericity, suggesting that the error

covariance matrix is proportional to the identity matrix.

k, the

Covariance Matrix of lth Cluster is as in (3), which requires the mean vector to be computed before computation of its

covariance matrix.

The within group

covariance matrix W, the multivariate analogue of the univariate within sum of squares divided by the degrees of freedom, and similarly, the between group

covariance matrix B are defined as

The

covariance matrix of the random vector defining this torsor is diagonal.

Following the available data on the vector of digital image pixels, the influence of the

covariance matrix is calculated (Brucas et al.