Sentence examples for are jointly distributed from inspiring English sources

We assume that the stochastic terms are jointly distributed following a bivariate normal distribution and therefore our model is a bivariate probit.

The CRF assigns the sequence of labels y to the observed input X. X and Y are jointly distributed, but CRFs directly model the conditional distribution p(Y| X) which takes the form: (1) p (y | x ) = 1 Z x e x p (∑ j = 1 N ∑ k = 1 K λ k f k (y j − 1, y j, x, j ) ) where Z x is the normalization factor, and f k is the feature function.

Double-scattering channels: Let, and, with,, and being three natural numbers, then the nonzero ordered eigenvalues of are jointly distributed as (5).

Given that the ordered eigenvalues of are jointly distributed as (5), the marginal CDF of the th largest eigenvalue can be expressed as (18).

Multiuser MIMO systems: OC without thermal noise: Let with, with, and has positive and descendingly ordered eigenvalues, then the eigenvalues of are jointly distributed as [38] (9).

This study highlights the interesting phenomenon whereby BSCs and PSCs are jointly distributed in opposite orientations under a canopy of patchy Achnatherum splendens grass on the alpine steppe of the Qinghai Lake watershed (Qinghai-Tibet Plateau, northwestern China).

This fact is itself is very interesting as far as establishing the presence of spells is concerned, as it implies the following: if an observed accident distribution of the UGWD type has arisen from the spells model, the time intervals (0, t i ), i = 1, 2, …, n, given a total of n accidents, will be jointly distributed with the above density function.

Each TF and its target genes were jointly distributed as a bivariate normal with correlation of 0.7.

However, unless the dropout rates were jointly distributed by smoking or quit status and psychological distress, we argue that the effect of attrition on our exposure-outcome relationship would have been minimal.

However, unless these dropout rates were jointly distributed by the social and economic exposure measures and drinking behavior outcome measures, the effect of attrition on the studied associations is likely to be minimal.

Given a finite collection of covariate vectors, x 1, …, x n, the random variables f (x 1 ), …, f (x n ) are assumed to be jointly distributed according to a multivariate Gaussian with mean m = [ m (x 1 ), …, m (x n )]⊤ and covariance matrix (K) ij = k (x i, x j ).