bbricks (version 0.1.4)

posterior.GaussianGaussian: Update a "GaussianGaussian" object with sample sufficient statistics

Description

For the model structure: $$x \sim Gaussian(mu,Sigma)$$ $$mu \sim Gaussian(m,S)$$ Where Sigma is known. Gaussian() is the Gaussian distribution. See ?dGaussian for the definition of Gaussian distribution. Update (m,S) by adding the information of newly observed samples x. The model structure and prior parameters are stored in a "GaussianGaussian" object, the prior parameters in this object will be updated after running this function.

Usage

# S3 method for GaussianGaussian
posterior(obj, ss, ...)

Arguments

obj

A "GaussianGaussian" object.

ss

Sufficient statistics of x. In Gaussian-Gaussian case the sufficient statistic of sample x is a object of type "ssGaussianMean", it can be generated by the function sufficientStatistics().

...

Additional arguments to be passed to other inherited types.

Value

None. the gamma stored in "obj" will be updated based on "ss".

References

Gelman, Andrew, et al. Bayesian data analysis. CRC press, 2013.

See Also

GaussianGaussian,posteriorDiscard.GaussianGaussian,sufficientStatistics.GaussianGaussian

Examples

# NOT RUN {
obj <- GaussianGaussian(gamma=list(Sigma=matrix(c(2,1,1,2),2,2),m=c(0.2,0.5),S=diag(2)))
obj
x <- rGaussian(100,c(0,0),Sigma = matrix(c(2,1,1,2),2,2))
ss <- sufficientStatistics(obj=obj,x=x,foreach = FALSE)
posterior(obj = obj,ss = ss)
obj
# }