The scale parameter λ of the Laplace prior determines the amount of shrinkage introduced by the prior, and hence the sparseness of the model.
Although the priors determine the variance of the sources, their time courses also depend on the gain vectors at each location (and the data of course).
One option to investigate prior dependence is to vary the priors or determine the effect of a measurement on the assumed prior.
Contrary to some accounts, Marx wasn't a crude economic determinist: he believed in the role of the individual, while pointing out, perfectly correctly, that larger forces, and prior history, determine the scope for individual action.
After irradiation the textile effluent was analyzed by atomic absorption spectrophotometer (AAS) prior to determine the changes in metal concentration.
We used Bayesian logistic regression with uninformative priors to determine the strength of individual predictors.
So one of the changes we made in our 2014 Senate model is to use "informed" priors to determine where the model should start.
The tree model prior was determined by using a UPGMA tree to construct an initial tree, and the mean rate and covariance priors were set to uniform values.
The magazine format will be ongoing although we are awaiting the response to issue one prior to determining the long term frequency of publication".
E. The board was required by state law to conduct an automatic recount prior to determining the necessity of a full manual recount.
(A mystical code, based on some intuitive algorithm of seniority and prior Cuplessness, determines the hand-off order; my understanding, or really my assumption, is that, due to superstition, it isn't discussed beforehand).
