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Changed conjugate prior of Normal/LogNormal distributions to be the NormalInverseGamma distribution from a combination of the Normal and Inverse Gamma distributions. This distribution is bivariate and gives us a 2d estimate for both x and sig_sq. The params for this distribution are mu, lambda, alpha, beta and are different from the old priors that Normal/LogNormal were expecting.
Various doc changes to illustrate these changes and new expectations
Major Changes
Fix closed form distributions and added tests
Calculation Posterior Expected Loss is now correct and represents a true loss function
Added plotNormalInvGamma
Minor Changes
Colors for sample plots are now hardcoded (red for > 0 and blue for < 0)
Plots are truncated at the extremes to avoid very long tails