Sentence examples for approximate expectations from inspiring English sources

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.

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.

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

Accurate modeling of management and economic processes often requires that researchers accurately approximate the expectations of functions of random variables.

The proposed algorithm allows to approximate smoothed expectations of additive functionals online, with a complexity growing only linearly with the number of particles and without any discretization procedure or Taylor expansion of the transition densities.

In order to approximate the expectations by sample averages computed from training data, the side-information variable Y is discretized to Ŷ ∈ η 1, … η Y, where is a large enough positive integer.

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

Rather than obtaining a binary estimate of each, we instead seek to estimate its expectation over resamples, hoping to approximate its expectation over samples from the population.

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