Our delta method approximation, on the other hand, yielded estimates of s that were centered about the true value and only slightly more variable than those of the other two methods (see Table 1 and Figure 2).
(Today, when Hamilton and Chemtob refer to each other, they use inexpert, mocking approximations of the other's accent).
Newton proposed that the orbits of planets about the Sun are largely elliptical because the Sun's gravitation is dominant; to first approximation, the presence of the other planets can be ignored.
We wanted to use the estimators on a population where we already knew (or at least had a very good approximation of) the size from other sources.
Two approximate high frequency solutions are presented, one based on Kirchhoff's approximation and the other in the spirit of the geometrical theory of diffraction, and are compared with Munt's [2] exact solution by the Wiener-Hopf technique.
The unique solvability of both discrete formulations (17) and (18) is a consequence of the positive definiteness of the approximation S h 0 of the exterior Steklov-Poincaré operator S 0 and the positive semi-definiteness of the approximation S h i of the other Steklov-Poincaré operator S i ( i ∈ { D, F } ), see, e.g., [[14], Lemma 1.93, p.58f] and [[6], Lemma 12.11, p.285].
Some performed an approximation of the electric slide, while others waltzed with the few men present.
For the otolith transfer function, we used the first order approximation of other models [25], and for the plant we used the third-order transfer function of Fuchs, et al. [26].
In order to evaluate the average case performance of the algorithm, we design numerical experiments to compare the effectiveness of the algorithm with that of the other approximation algorithms.
The study of the degree of approximation of signals in other function spaces such as the Hölder, Zygmund classes and so on, might be of future interest for investigators in this direction.
