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This approach used unscented transformation to derive a mixture representation of the predicted probable distribution function and applied a multistage sampling strategy to approximate the likelihood function.
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Weibull probability distribution function.
This technique involves several steps: 1) the definition of probability distribution functions for each of the K input parameters; 2) the division of the range of each parameter into N equi-probable intervals; and 3) the generation of the LHS K-sets of parameters by matching at random values sampled without replacement from each probability distribution function.
P: probability distribution function.
By applying these probability distribution functions in the Monte Carlo simulation of the new model, the most probable value of choke flow rate can be determined as explained in the next section.
Although, for −1 < q < 1 high energy status are more probable in the nonextensive distribution function.
We also present a detailed analysis of the observed radial distribution function, and infer the probable size and shape of individual cascades.
B.F. worked analytically on the epicyclic equations and carried out the cumulative distribution function calculations for the most probable trajectories.
Distribution function of covalent angle values is calculated for large clusters and it is shown that the most probable angles correspond to 104° and 112°, but are not exactly tetrahedral.
Most probable distance between adjacent molecular chains was evaluated as the first trial for oriented amorphous polymers, using the two-dimensional radial distribution function formulated by a series expansion of Bessel and Legendre functions of coherent X-ray intensity curves.
Figure 5: Radial distribution function.
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