Sentence examples for the validity of estimates from inspiring English sources

Further work is needed to determine the optimal recording timeframe for diary recordings, as adherence rates may decrease over time, thus reducing the validity of estimates.

This paper concerns the validity of estimates on the distance of an arbitrary state trajectory from the set of state trajectories which lie in a given state constraint set.

The validity of estimates obtained from survival models requires that several assumptions are met [59].

The validity of estimates obtained from MI rests on a key assumption concerning the mechanism underlying the missing data.

Adjustment for fertility rates is an important factor because modest changes in fertility can have profound effects on the validity of estimates from pregnant women [ 27].

Are the processes of non- and partial response affected by particular socioeconomic variables, health behaviors, chronic conditions or age? 3) What is the impact of non- and partial response on the validity of estimates of HRQoL?

The projected parameter enlightened that the null hypothesis that ρ (Rho) is zero rejected at the 1% significance level, indicating the validity of estimating the two selection equations jointly rather than using the univariate estimation techniques.

If along with (2.9) we take into account inequalities (2.12) and (2.13), then the validity of estimate (2.10) becomes evident.

Therefore, for all (lambda> 12 { ( frac{T(A) | f | _{2}}{A} )}^{frac{4}{9}}), we obtain the validity of estimate (9) and the result is proved.

Remark 6.4 Similarly to Remark 6.2, one can conclude that the validity of estimate (6.18) is ensured for all m ≥ 1 provided that ε ≥ ε 0 with ε 0 given by formula (3.14).

Then [40] For every α ~ ∈ ( 0, 1 ) there exists a number δ ∈ ( 0, 1 ), depending only on n, p, ν, L, α ~, such that lim sup ϱ → 0 ω ≤ δ (48) implies the validity of estimate (32) whenever α ∈ [ 0, α m ).