Sentence examples for bivariate example from inspiring English sources

In this paper, the performance of these translation methods is evaluated based on their abilities to match the following exact solutions from one benchmark bivariate example where the joint distribution is known: (1) high order joint moments, (2) joint probability density functions (PDFs), and (3) probabilities of failure.

Again, using Tanzania injectable contraceptives as an example, the bivariate model overestimates the "true" injectables prevalence rate by 1.8 percentage points; the multivariate model by 1.9 percentage points; and the CYP model by 3.3 percentage points.

A bivariate numerical example is provided for demonstration.

Taking Tanzania as an example with its AQD/100 WRA of 10.1 in 2009 10, the bivariate model generated a public-sector injectables prevalence rate estimate of 8.6% (see Supplemental Table 1).

aFor simplicity we consider the bivariate case.

The advantage of the standard bivariate model is that it is relatively easy to fit using both Bayesian or frequentist techniques, with SAS [ 9] and WinBUGS [ 10, 11] example code available.

A Latent Class Bivariate Model is proposed.

While (4.1) and (4.2) contain some new bounds for certain ratios of bivariate means, for example, (4.4).

As an example, bivariate Pareto distribution of the form P(X 1>x 1,X 2>x 2)=(1+x 1+x 2)−γ, γ>0 has Archimedean copula with generator function ψ(x)=(1+x)−γ.

For example, bivariate beta generated distributions with classical beta marginals are natural choices to be used as prior distributions for the parameters of correlated binomial random variables (with any sign for the correlation) in Bayesian analysis (see Apostolakis and Moieni 1987; Arnold and Ng 2011).

For example, bivariate method of pooling sensitivity and specificity [ 18] is currently being developed.