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But computing the distribution of such random sums is a hard problem that has received much attention.
For very specific c.d.f., this problem can be overcome by computing the distribution of KS ( 1 ) (see [27] for exponential and Gaussian cases).
Characterization of local micromixing intensities is presented by computing the distribution of intermaterial area density and striation thickness distribution (STD) from the stretching field.
We also validated our results by computing the distribution of migrations by distance migrated and found that by using this sub-tribal method of spatial units definition in modeling human mobility we were able to improve the accuracy of the models so drastically, that the Ivory Coast performed even better than its developed country-counterpart, Portugal.
By defining x = |h ss |2 and y = |h rs |2, and computing the distribution of the sum z = x + y as f z ( z ) = ∫ 0 z f x ( z − y ) · f y ( y ) dy, where f x ( x ) = exp ( − x λ ss ) λ ss and f y ( y ) = exp ( − y λ rs ) λ rs are the probability density functions (pdf) of the variables x and y for the case NLOS, respectively.
Computing the distribution of ΔS under more relaxed assumptions is area for further research.
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Anticipated trials were discarded from the analysis of reaction time but were considered valid for computing the distributions of relative frequencies.
Several types of robust performance objectives are investigated that incorporate worst-case or distributional robustness metrics for improving the robustness of batch control laws, where the distributional approach computes the distribution of the performance index caused by parameter uncertainty.
For comparison purposes, we computed the distribution of expected positional occurrences for our motifs if they were uniformly randomly distributed under an i.i.d.i.d
A methodology to compute the distribution of interatomic distances in highly concentrated multicomponent alloys is proposed.
Secondly, we compute the distribution of z ij through a change of variables.
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