Sentence examples for be the underlying probability from inspiring English sources

Let ((Omega, mathcal{F}, P =(Omega_{1}timesOmega_{2}, mathcal {F}_{1}timesmathcal{F}_{2}, P_{1}times P_{2})) be the underlying probability space of this paper.

Hence, the only difference between these two approaches was the underlying probability distribution.

However, it is acknowledged that the underlying probability distribution are usually not lognormal, therefore it is required to estimate the analogous geometric standard deviations and most of the studies did not have functions for every plausible health effect [ 65].

What could be the underlying mechanism?

MLE is often used when the sample data are known and parameters of the underlying probability distribution are to be estimated [29, 30].

It is assumed that the samples are random realisations from the underlying probability distributions X | G =  j ~  normal p,  μ j,  Σ j ) where the common within class covariance matrix Σ W is now replaced with J covariance matrices Σ j.

New test measures are proposed to evaluate the quality and uniformity of point sets, which are essential in preserving the underlying probability distribution.

The PMF is an estimate of the underlying probability distribution using the histogram of HD values.

Another approach for both continuous and categorical data is to apply perturbations by considering the underlying probability distribution [ 65]: first, the underlying distribution is discovered, then distorted series are produced and the original series are replaced with the distorted series.

Map sites are randomly selected based on the underlying probability distributions from the likelihood ratios.

Namely, that an adaptation profile can be achieved by calculating the first moment of the CME, but that the underlying probability distribution might be wide enough to prevent one from making definite quick-and-dirty assertions going from a single cell to the population level, or the other way around.