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A popular way of simulating from a general posterior distribution is by using MCMC methods.
MCMC methods constitute a general methodology to generate samples recursively from a given distribution by randomly simulating from a Markov chain [43 47].
Section 2.2 in [ 8] contains results about various Gibbs-sampling schemes for simulating from a multivariate distribution.
The data were generated by simulating from a thermodynamic model for gene expression to which Gaussian noise was added.
Simulating from a model provides us with well-defined functions, FDR t) and rFDR t), of the P-value threshold t.
As described in the methods, due to the small sample size and number of FOVs, the biomarkers besides MAP-Tau were imputed by simulating from a normal distribution based on the observed mean and standard deviation of the each individual biomarkers.
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Finally, we compared our simulation procedure to previous methods where data were simulated from a single locus.
Approximately simulate from a distribution with density f.
Five samples of size n are simulated from a Clayton distribution with Spearman's correlation ρ.
The circuit data used for TE and ATE evaluation is simulated from a non-Foster network described in [17].
For the simulated DTS exam, 15 DTS projections were simulated from a CT scan of the anthropomorphic phantom and a simulated DTS reconstruction was computed.
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