Sentence examples for distributions by the same from inspiring English sources

A Principle Coordinates Analysis (PCoA) was performed using Nei&Li's coefficient [ 57] and the coordinates of each individual were extracted to statistically test their distributions by the same Wilcoxon-Mann–Whitney and Kruskall-Wallis tests using SPSS v. 15.0 [ 82].

It can be shown that for a fixed p≥1, the quantity ({mathcal Z}_{p}) is an invariant of the exponential tilting transformation for the corresponding class of Poisson-Tweedie mixtures with such p. This means that given p≥1, all the members of the class of Poisson-Tweedie distributions characterized by the same value of ({mathcal Z}) comprise their own natural exponential family (or NEF).

We reasoned that a possible way to address this problem would be to estimate statistical significance by generating background distributions by the very same methods.

However, feeders with unbalanced solar power distribution supplied by the same transformer might present additional voltage issues unsolvable with this method.

This distribution is strikingly similar (see figure 4) to the picture of the distribution of H1N1 seasonal influenza reported by [20] in various geographical locations and periods of time, but also very different from the distribution reported by the same authors for H3N2 viruses (which included a significantly higher number of cases in the elderly).

The proposed distribution for p(θ ⋆| θ i) and q(θ i ;| θ ⋆) follows the Gamma distribution defined by the same parameters as mentioned earlier (equations 11& 11&.

Under these conditions, we essentially increased the degree of randomness of enhancer distribution by dispersing the same amount of targets into more randomly localized clusters.

We built the expected null distribution by performing the same sample procedure but permuting DN/DS and PN/PS ratios among genes for each drawing of 100 genes sets.

We exploit the well-known fact that Poisson distributions are well approximated by normal distributions with the same mean and variance, clearly distinguishable by the Poisson distribution property that the mean equals the variance.

This estimator can also be justified as the maximum likelihood solution, if one approximates the Poisson distributions by corresponding normal distributions with the same means and variances.

To study the sensitivity of the results to the form of the prior distribution, we replaced the Beta prior distributions by Uniform prior distributions with the same 95% CrI limits as those mentioned above.