Sentence examples for approximate expectation from inspiring English sources

After some mathematical manipulation, the approximate expectation of the relative standard error estimator (AERSEE) turns out to be mathrm{AERSEE}=mathrm{R}mathrm{S}mathrm{E}{left(1+mathrm{R}mathrm{B}right)}^{1/2}.

The estimator and its expectation and variance can be written as follows: (A2) where a first-order Taylor expansion is used to calculate of the approximate expectation and variance, is the coefficient of variation of CPA, and σ2 is the experimental variation.

Then, we are able to approximate expectations of the form (9). by means of a particle evaluation (10).

While heuristic for joint, dependent distributions, this method appears to be very reliable and to accurately approximate expectations of an important class of functions.

MCMC is an application of the Law of Large Numbers and allows approximating expectations by averages of random draws from a given distribution.

The numerator and denominator are not independent, but for this qualitative inspection, we approximate the expectation as the ratio of expectations.

In this respect American universities are beginning to approximate the expectation of two theses long common in French and German ones.

The Xs are independent and have the same distribution, E[n−1 X1 +⋯+ Xn)] = μ and Var[ X1 +⋯+ Xn)/n] = Var X1)/n, so that This not only proves equation (11), but it also says quantitatively how large n should be in order that the empirical average, n−1 X1 +⋯+ Xn), approximate its expectation to any required degree of precision.

When L is sufficiently large, the sample average value is used to approximate the expectation value.

A one-dimensional bell model is developed providing an approximate theoretical expectation to which estimation results may be compared.

The most common technique to numerically approximate an expectation with respect to a diffusion process would be so-called "Euler-Maruyama" scheme.