Class "buhlmannStraub" of fitted Buhlmann-Straub credibility models

Class "buhlmannStraub" of fitted Buhlmann-Straub credibility models

Usage

# S3 method for class 'buhlmannStraub'
predict(object, newdata = NULL, ...)

# S3 method for class 'buhlmannStraub'
print(x, ...)

# S3 method for class 'buhlmannStraub'
summary(object, ...)

# S3 method for class 'buhlmannStraub'
fitted(object, ...)

Arguments

object

an object of class buhlmannStraub

newdata

optionally, a data frame in which to look for variables with which to predict.

...

currently ignored.

x

an object of class buhlmannStraub

Value

The function buhlmannStraub returns an object of class buhlmannStraub, which has the following slots:

call

the matched call

type

Whether additive or multiplicative credibility model is used.

Variances

The estimated variance components. Sigma is the estimated within-group variance (process variance), and Tau is the estimate of the between-group variance (variance of the hypothetical means).

Means

The estimated averages at the portfolio level (collective premium \(\mu\)) and at the cluster level (weighted average \(\bar{Y}_j\)).

Weights

The total weights \(w_j\) for each cluster.

Credibility

The credibility factors \(z_j\) for each cluster.

Premiums

The collective premium \(\hat{\mu}\) and individual premiums \(\hat{V}_j\) for each cluster.

Relativity

The estimated random effects \(\hat{U}_j\) of each cluster.

RawResults

Object of type data.table with all intermediate results.

fitted.values

the fitted mean values, resulting from the model fit.

S3 methods

print:

Prints the call, the estimated variance parameters and the unique number of clusters. The ... argument is currently ignored. Returns an invisible copy of the original object.

summary:

In addition to the output of the print.buhlmannStraub function, the summary function prints the cluster-level estimates as well. Returns an invisible copy of the original object.

fitted:

Returns the fitted values.

See also

buhlmannStraub