Keywords: Markov source, variance, covariance
, independence, Hamming weight, Matrix-Tree Theorem, transducer, central limit theorem
The means and variances used to generate the covariance
matrices and; therefore, the multivariate random samples for the calculations of the type I error and the power of the LRT for the independence between two groups of variables belong to the groups of adult plants and the production of the hybrid Lyra (Table 1).
i][beta] and variance and covariance
matrixes, according as Equation 2:
Random effects included direct and maternal additive genetic effects, maternal permanent environmental effects with direct maternal genetic covariance
and random residual effects.
Because of Hirvonen function is commonly used in geodetic studies, this function was chosen for computation of experimental covariances
in this study.
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].
Remark 1: The GLR test statistic only uses the asymptotic covariance
matrix under [H.
For detecting the quantity of changes between the same model elements of the same speakers we compare the training and test covariance
matrices of the same speakers and calculate matrix of distinctions
If the covariance
matrix of the vector meets the alternative assumption (15), the following applies
This decomposition implies that family income changes can arise directly from one of the five sources or from the covariances
between the income sources.
The Patterns of Covariances
between Growth Parameters and the Corresponding Patterns of Constraints upon the Magnitude of Variation of Functional Parameters
In that type of representation, one loses the inter-temporal variation of covariances
between portfolio returns and state variables.