# posteriorDiscard.GaussianGaussian: Update a "GaussianGaussian" object with sample sufficient... In bbricks: Bayesian Methods and Graphical Model Structures for Statistical Modeling

## 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.
Contrary to posterior(), this function will update (m,S) by removing the information of 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

 ```1 2``` ```## S3 method for class 'GaussianGaussian' posteriorDiscard(obj, ss, w = NULL, ...) ```

## 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(). `w` Sample weights, default NULL. `...` 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.

`GaussianGaussian`,`posterior.GaussianGaussian`,`sufficientStatistics.GaussianGaussian`
 ``` 1 2 3 4 5 6 7 8 9 10``` ```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) ## update prior into posterior posterior(obj = obj,ss = ss) obj ## remove the information, back to prior posteriorDiscard(obj = obj,ss = ss) obj ```