Relationship between the group sizes and unequal

covariance matrices.

be the mean vector of U, I be the identity matrix and empirical

covariance of U be

The estimation is started with an initial value for state variables and

covariance matrix ([X.sub.0], [P.sub.0]).

This study used two eddy

covariance systems mounted on XT00 at a 40 m (system 1) and a 32 m (system 2) height above ground level (agl), respectively.

The single pulse signal is radiated by the radar, and the

covariance of the measurement noise can be denoted as:

In the Gauss-Hermite integration approach, a much larger set of sigma points and weights could be chosen compared to those of the Lyapunov

covariance and the statistical regression approach such that with polynomial integrand the numerical approximation becomes exact and leads to more precise representation of the statistical moments (mean and

covariance) of the distribution of a debris dispersion.

[V.sub.k+1] is the

covariance matrix of the actual output residual sequence, which is estimated by

To measure how ecosystems exchange carbon and water with the atmosphere, Fluxnet stations rely on state-of-the-art micrometeorological tools and a standard method, called the eddy

covariance method.

and I.) were defined by the equation [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII] The estimates of genotypic

covariance for the month t were described [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII] where i = 5, 6, ..., 12 and j = 5, 6, ..., 12 months of age; [K.sub.a] is the

covariance matrix between the random genotypic regression coefficients; and Z is the age matrix in months, in which each row represents an age and the number of columns is equal to the polynomial adjustment order used to calculate the variances t.

4th, 5th and 6th degrees of AR parameters were estimated by

covariance and Yule-walker methods for the EGG signals of patients and healthy people for fasting and satiety stages (for both channels).

The spherical simplex rule and the first-order generalized Gauss-Laguerre quadrature rule are adopted to derive the simplex cubature rule, which is used to approximate the a posteriori mean and

covariance in the nonlinear Kalman filter framework.

The

covariance matrix of normalized data can be defined as follows: