Sentence examples for multivariate standard from inspiring English sources

A common practical approach of constructing the multivariate probability distribution of Y is to transform Y into standard normal data X and construct the multivariate standard normal distribution for X.

Using the fact that the multivariate Laplace distribution is a scale mixture of the multivariate standard normal distribution, an efficient EM algorithm is designed to implement the proposed robust estimation procedure.

This method was originally developed in (Richter [1985], [1987]) for proving large deviation limit theorems for the multivariate standard Gaussian law.

In the first one, the data has multivariate standard normal distribution without outliers for n = 10, 50, 100 and the second one is with outliers (5%) for n = 10, 50, 100.

The probability of choosing the four energy choices (biogas, firewood, charcoal, and dung) is given by "P i" in Eq. (2); therefore, the marginal effect of each explanatory variable in a multivariate standard normal distribution is measured by: partial {P}_{mathrm{i}}/partial {X}_{mathrm{i}}=theta;left({X}^{prime}theta right){theta}_{mathrm{i}},kern0.6em n=1,2,dots, n (3).

Our study that revealed STAT3 as a predictor of better patients' outcome in both univariate and multivariate standard survival analyses is in line with these latter results.

In multivariate analysis, standard laryngoscope use was an independent risk factor for difficult laryngoscopy and/or difficult intubation, as were Mallampati score III or IV and non-expert operator status.

Both of these models outperform other standard multivariate copula in modeling multivariate flood data that exhibiting complex patterns of dependence, particularly in the tails.

These employ standard multivariate data analysis methods on the design matrix.

Comparisons of the environmental contours using C-vines with those obtained from standard multivariate copulas are also discussed.

According to an irrigation water quality standard, multivariate indicator kriging (IK) was adopted to estimate the integration of hydrochemical parameters in groundwater.