Sentence examples for by a multivariate normal from inspiring English sources

If scaled and centered data are not well-approximated by a multivariate normal distribution (multiple clusters within the data can also violate the normality assumption), rotated axes are more likely to pass through the centre of the multivariate data cloud when obtained using robust covariance estimators to identify the most variable traits using alternative metrics [ 35].

The scenarios set is described by a multivariate normal distribution generated via a sampling technique with symmetric correlation matrix.

The elicited outcomes show that the spatial error of the SWFC over the study area is characterised by a multivariate normal random function.

Since the number of samples is usually limited in this training set, a model is chosen beforehand: The generation of this set is modeled as drawing samples from a random process P x), where the distribution of this random process is approximated by a multivariate normal distribution N μ, Σ.

First is the assumption that the ensembles can be described by a multivariate normal distribution.

The likelihood surface is then approximated by a multivariate normal distribution N (B,Σ) centered on the ML estimates (MLEs) B of the branch lengths.

We used general/multivariate normal linear models estimated by maximum likelihood to examine the associations between early BCG and the anthropometric measurements across time taking into account correlation of measurements within children [ 15].

We simulated 1000 phenotypes by sampling from a multivariate normal distribution with a covariance structure equal to the kinship matrix between samples.

For each phenotype, we simulated 288 trait values by sampling from a multivariate normal distribution using the mvrnorm function in R with covariance matrix defined by the estimated kinship.

We estimated this null hypothesis value for each day of the cycle by simulation from a multivariate normal distribution (n = 100.000) using a mean vector of zeroes and a covariance matrix containing the set of estimated variance-covariance terms from the multivariate model.

Bayesian random effects fractional polynomials models with only a heterogeneity parameter for d0 Ak can be easily extended to fit trials with 3 or more treatment arms by decomposition of a multivariate normal distribution as a series of conditional univariate distributions [ 13].