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Critical steps in the stochastic method were the generation of a chemical logic diagram, the compilation of cumulative probability functions for the structural attributes, stochastic sampling of each distribution, and the molecular construction.
Figure 6 Overall throughput cumulative probability functions in different schemes.
Figure 5 Cumulative probability functions of orthogonality defects (in logarithm) from 10, 000 random examples.
Figure 7 Average overall throughput cumulative probability functions in different areas in the location-based algorithm.
Figure 8 Cumulative probability functions of minimum angles (in degrees) from 10, 000 random examples.
Together with the original problems, we have plotted the cumulative probability functions (cdf) of the orthogonality defects in Figure 5.
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Fragility curve is developed based on the probabilistic hazard level, cumulative probability function and classification damage-states.
Cumulative probability function.
The cumulative probability function of δ p (Eq. 2) used in our application allows researchers to explicitly test hypotheses about group differences in the proportion of examinees affected by PD via the estimates of π Ig (Eq. 3).
In order to solve this problem, Cao and Stokes (2008) proposed a cumulative probability function of switching points, which was also employed by Jin and Wang (2014) in their mixture PD model.
The probability density function f(x) and cumulative probability function F x) of Weibull distribution are given as follows: f(x) = left{ {begin{array}{ll} {frac{beta}{alpha }(x - gamma)^{beta - 1} exp left[ {-frac{{left( {x - gamma } right)^{beta }}}{alpha}} right]} hfill & {x ge gamma } hfill 0 hfill & {x< gamma } hfill end{array},} right.
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