Sentence examples for for two distributions from inspiring English sources

We now give the density functions for two distributions in the EGG family.

A more extensive simulation study was done to examine the effectiveness of the permutation test developed in the last section by considering the power of the test to correctly reject a null of equal degree of rotational symmetry for two distributions.

Here we adopt the Jensen-Shannon Divergence [35] (JSD) that for two distributions P and Q is defined as: (operatorname{JSD}(P,Q) = frac{1}{2} D_{mathrm{KL}}(P|M) + frac{1}{2} D_{mathrm{KL}}(Q|M)), where (M = P + Q) and (D_{mathrm{KL}}(P|Q) = - sum_{x} P x) logfrac{P x)}{Q x)} ) is the Kullback-Leibler divergence.

In addition, we used a non-parametric Wilcoxon rank sum test [35] to compare the difference in median for two distributions.

To approximately measure the disease case-spread with respect to each other as well as with respect to the center of tracts, under both simulated and confirmed outbreaks, we estimated the mean and standard deviation (SD) for two distributions: (1) distribution of distance between cases and the center of their census tracts, and (2) pairwise distance distribution of cases.

More specifically, the shaded area in Figure 6 represents the expected fraction of misclassification for two distributions.

The method is applied to a case study in Ohio in which coal-based hydrogen infrastructure with carbon capture and storage (CCS) is modeled for two distribution modes at several steady-state hydrogen vehicle market penetration levels.

We now provide the PWMs for three distributions discussed in Section 3.

Quantitative features activity relationships (QFARs) are calculated by the Monte Carlo technique for three distributions of data representing values associated with membrane damage into the training and validation sets.

Table of simulation data for three distributions of the DL4 and DM6 MARCM data sets and the probabilities of obtaining simulated data more evenly distributed than observed.

The solution to this turns out to be unattainable analytically, since the probability of each rank change is not independent and thus it requires solving integrals for four distributions conditional on two unknowns.