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Two different importance sampling distributions can be used for this method.
For balanced designs, less computationally intensive alternatives based on approximate sampling distributions of multivariate tests can be recommended.
The tutorial addresses the basic transport differences between photon and electron transport as well as the sampling distributions.
The scenarios labeled phase-based A and B correspond to the phase-based sampling algorithm from Section 5.2.2, using the optimal and prior importance sampling distributions, respectively.
Inference in queueing systems is not easy: development of the necessary sampling distributions can be very involved and often the analysis is restricted to asymptotic results.
The BCa method adjusts for bias in the bootstrapped sampling distributions [27].
It is useful to go through the geometric interpretation of Fieller's theorem so that one can solve the problem for arbitrary sampling distributions.
As in the single-species case, we assumed no observation error in the Nj and individual negative binomial sampling distributions for the consumption rates Fj.
Therefore, the relatively large difference between the two datasets (FST = 0.0012) is likely caused by a difference in the geographical sampling distributions.
Here, statistical significance of the separation of sampling distributions was determined by computing the p-value of a Wilcoxon Mann-Whitney test between the pre- and post-globin reduction distributions, and thresholding at 0.05.
We parameterized both the beta and gamma sampling distributions according to the method of moments, a technique which parameterizes a distribution by specifying its expected value and variance [39].
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