Sentence examples for required estimates from inspiring English sources

In order to estimate standard errors of the log hazards for each treatment, we required estimates of the uncertainty associated with four treatment contrasts.

The challenge is to obtain the required estimates of age-specific selection gradients and age-dependent genetic covariance matrices among traits in order to parameterise evolutionary models.

For analyses of selection on these traits (see below), we also required estimates of individuals' lifetime breeding success, defined as the total number of offspring produced across a lifetime, restricted to individuals known to have died a natural death.

The prerequisites for participating countries were as follows: (1) recent nationally representative food consumption data obtained from individuals (i.e. not household budget data) and (2) the capability and resources to reanalyse the data to obtain the required estimates.

Unfortunately, this would have required estimates of five different parameters per sex per chemical per tumor site (the background rate of tumors, the tumor risk for adult-only exposure, and the relative multiplicative increment of tumor risk for each of the three life stages).

To justify those profits, Enron had to leap through some hoops related to fair market values of those rights, which required estimating future profits.

We also required estimated 2001 payouts no greater than 70%.

end{aligned} This implies that the required estimate holds.

The required estimate then follows by combining the resulting inequalities.

The results showed that the number of inputs required estimating outputs varied with sex difference.

By definition (mathrm{Ker} rho _V = _nmathrm{Br}(K _V), so we obtain the required estimate.