Sentence examples for analytical probabilities from inspiring English sources

Hence, we have developed a simple numerical procedure, based on analytical probabilities, suitable for instrumental design and evaluation.

Approximations by analytical probability density functions using dimensionless variables are proposed.

which is an important tool in analytical probability theory, statistical physics and physical chemistry.

Tsarouhas (2015) developed analytical probability models for an automated serial production, which consists of n-machines in series.

It is verified that the analytical probability distribution model is a reasonable model to estimate the peak pressure coefficients.

Analytical probability models for an automated system that consists of n-machines in series with common transfer mechanism and control system are developed.

Moreover, these figures show a validation of the joint distribution given in Theorem 1. Fig. 2 Empirical and analytical probability density functions of the SCN of the central semi-correlated Wishart matrices as N varies Fig. 3 Empirical and analytical probability density function of the SCN of the central semi-correlated Wishart matrices as ρ varies.

The analytical probability of detecting at least a colluder has been compared to the experimental detection rates, under different number of colluders and different false alarm probability, confirming that the analytical model is indeed very accurate.

The advantage of this method is that the analytical probability density function (PDF) of RAC can be obtained, provided the probability distribution of the chloride diffusion coefficient of the old mortar and the content of the old mortar are known.

Fig. 4 Empirical probability density function of the SCN of non-central uncorrelated Wishart matrices and the corresponding analytical probability density function of central semi-correlated Wishart matrices using normalized non-central/central approximation.

Using the closed form CDF expression (12) in (6), the analytical probability of outage for two-way AF relaying network over asymmetric (Rician and Nakagami-m) fading channels can be easily expressed in the closed form.