summary-methods: Methods for Function summary

In ChainLadder: Statistical Methods and Models for Claims Reserving in General Insurance

Methods for Function summary

Description

Methods for function summary to calculate summary statistics from a "MultiChainLadder" object.

Usage

## S4 method for signature 'MultiChainLadder'
summary(object, portfolio=NULL,...)

Arguments

object	object of class "MultiChainLadder"
portfolio	character strings specifying which triangles to be summed up as portfolio.
...	optional arguments to summary methods

Details

summary calculations the summary statistics for each triangle and the whole portfolio from portfolio. portfolio defaults to the sum of all input triangles. It can also be specified as "i+j" format, which means the sum of the i-th and j-th triangle as portfolio. For example, "1+3" means the sum of the first and third triangle as portfolio.

Value

The summary function returns an object of class "MultiChainLadderSummary" that has the following slots:

Triangles	input triangles
FullTriangles	predicted triangles
S.E.Full	a list of prediction errors for each cell
S.E.Est.Full	a list of estimation errors for each cell
S.E.Proc.Full	a list of process errors for each cell
Ultimate	predicted ultimate losses for each triangle and portfolio
Latest	latest observed losses for each triangle and portfolio
IBNR	predicted IBNR for each triangle and portfolio
S.E.Ult	a matrix of prediction errors of ultimate losses for each triangle and portfolio
S.E.Est.Ult	a matrix of estimation errors of ultimate losses for each triangle and portfolio
S.E.Proc.Ult	a matrix of process errors of ultimate losses for each triangle and portfolio
report.summary	summary statistics for each triangle and portfolio
coefficients	estimated coefficients from systemfit. They are put into the matrix format for GMCL
coefCov	estimated variance-covariance matrix returned by systemfit
residCov	estimated residual covariance matrix returned by systemfit
rstandard	standardized residuals
fitted.values	fitted.values
residCor	residual correlation
model.summary	summary statistics for the cofficients including p-values
portfolio	how portfolio is calculated

Author(s)

Wayne Zhang [e-mail]

See Also

See Also MultiChainLadder

Examples

data(GenIns)
fit.bbmw=MultiChainLadder(list(GenIns),fit.method="OLS", mse.method="Independence")
summary(fit.bbmw)

ChainLadder documentation built on Sept. 11, 2024, 8:35 p.m.