The index is distributed as a χ2 distribution with 2 degrees of freedom, i.e., E∼.
Cloudera Distribution for Hadoop is distributed as a pre-packaged RPM bundle for Red Hat Linux systems or an Amazon EC2 image, for free under the Apache 2 software license.
We model this as an additive white Gaussian "adjustment noise" contribution to the "ideal adjustment" (and with we mean a variable that is distributed as a normal distribution with mean and covariance matrix ).
This statistic is distributed as a χ2 distribution with one degree of freedom.
The significance of the LRTs was calculated assuming that twice the difference in the log of maximum likelihood values between the two models is distributed as a χ2 distribution.
As a consequence, is distributed as a complex central beta distribution random variable with, degrees of freedom, and is ruled by the complex noncentral F-distribution with 1, degrees of freedom and noncentrality parameter (25).
Under the null hypothesis of no association, T CF is distributed as a central χ(1) distribution.
In situations where the prevalence of PV is distributed as a mixture of beta distributions, the results were basically the same (Additional file 2: Tables S6 S10).
The CD statistic tests the null hypothesis of cross-sectional independence, is distributed as a two-tailed standard normal distribution and exhibits good finite-sample properties.
The CD-statistic is distributed as a two-tailed standard normal distribution and the LM-statistic as a ( chi_{N(N - 1)/2}^{2} ) distribution aImplies rejection of the null hypothesis at the 1 % significance level.
For the cases, the expression level of each gene is distributed as a mixture of three normal distributions with variances of 1.
