While in the foregoing we used a finite sample space, we now employ a space with infinitely many possible samples.
Theoretically, these two versions of the score test are asymptotically equivalent except that the traditional variance component score test uses a mixture of two distributions as an asymptotic null distribution (Molenberghs and Verbeke, 2003), whereas the score-based test can use a finite-sample null distribution, as used in SKAT.
For comparison we also show the average execution time per sample of the SSA using a finite sampling rate.
The algorithms use a finite number of samples of the initial condition and potential functions.
As a result, we have to use a finite penalty.
We use a finite mixture model in this study.
To prevent excessive run durations, Solver may only use a finite number of iterations.
In the literature of blind channel estimation, it is well-known that subspace methods, such as [18, 21], enjoy the so-called "finite sample convergence" property [15 19, 21], that is, in the noiseless case (or sufficicently high SNR), the channels can be almost exactly identified by using a finite number of samples for covariance estimation.
This calculation uses a finite correction for sampling a binomial population based on the relationship between the F distribution and the binomial distribution [49] (Equations 24.28 and 24.29, see below).
To ensure that a SCFG gets consistent, one can for example assign relative frequencies to the productions, which are computed by counting the production rules used in the leftmost derivations of a finite sample of words from the generated language.
