While in the foregoing we used a finite sample space, we now employ a space with infinitely many possible samples.
In this paper we propose to use a finite sample mean square error (MSE) to select such thresholds and to estimate tail characteristics.
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.
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.
The PF approximates recursively the sequence of posterior probability measures associated to a state-space dynamic model using a finite set of weighted samples.
The maximum stressed zone and the effect of the thickness of the sample on critical temperature difference (ΔTC) were studied by conducting actual experiments on plain and indented alumina specimens and also by modelling temperature and thermal stress distribution in the sample using a finite element (FE) software.
A simplified three-dimensional model of the HR-DMA sampling procedure using a finite element solver package reveals the perturbation introduced by the "cold" probe to the temperature time history experienced by the sampled aerosol and provides the input parameters for a one-dimensional streamtube model of the perturbed flame that included detailed chemistry.
Differences between the sample concentration and the measured TMPA time course during perilymph loading and sampling were analyzed using a finite element computer model for simulation of solute movements in the inner ear fluids.
Sample size was calculated by using a finite population correction formula [ 9].
Ghosh and Chinnaiyan [ 2] proposed a mixture model-based approach to classify genes based on the expression of independent samples corresponding to melanoma or prostate cancer diagnoses using a finite mixture of multivariate Normal distributions.
