Paid data (adding prior knowledge example)

Description

It is a run-off (incremental) triangle consisting of the aggregated payments during 19 years. These data were used in the empirical illustration provided by Martinez-Miranda, Nielsen, Verrall and Wuthrich (2013).

Usage

data(XtrianglePrior)

Format

Matrix with dimension 14 by 14: 14 undewriting years and 14 development years.

Source

Martinez-Miranda, M.D., Nielsen, J.P., Verrall, R. and Wuthrich, M.V. (2013) Double Chain Ladder, Claims Development Inflation and Zero Claims. Scandinavian Actuarial Journal. In press.

Examples

data(XtrianglePrior)

Plot.triangle(XtrianglePrior)
# Classical chain ladder method
clm(XtrianglePrior)

Results

R version 3.3.1 (2016-06-21) -- "Bug in Your Hair"
Copyright (C) 2016 The R Foundation for Statistical Computing
Platform: x86_64-pc-linux-gnu (64-bit)

R is free software and comes with ABSOLUTELY NO WARRANTY.
You are welcome to redistribute it under certain conditions.
Type 'license()' or 'licence()' for distribution details.

R is a collaborative project with many contributors.
Type 'contributors()' for more information and
'citation()' on how to cite R or R packages in publications.

Type 'demo()' for some demos, 'help()' for on-line help, or
'help.start()' for an HTML browser interface to help.
Type 'q()' to quit R.

> library(DCL)
Loading required package: lattice
Loading required package: latticeExtra
Loading required package: RColorBrewer
> png(filename="/home/ddbj/snapshot/RGM3/R_CC/result/DCL/XtrianglePrior.Rd_%03d_medium.png", width=480, height=480)
> ### Name: XtrianglePrior
> ### Title: Paid data (adding prior knowledge example)
> ### Aliases: XtrianglePrior
> ### Keywords: datasets
> 
> ### ** Examples
> 
> data(XtrianglePrior)
> 
> Plot.triangle(XtrianglePrior)
> # Classical chain ladder method
> clm(XtrianglePrior)
$triangle.hat
           V1      V2        V3       V4       V5       V6        V7        V8
 [1,] 9335295 5252465  962548.8 583512.5 436572.6 261109.0 140493.28 153346.85
 [2,] 9773177 5498838 1007698.2 610882.8 457050.5 273356.6 147083.27 160539.75
 [3,] 9070098 5103253  935204.8 566936.1 424170.5 253691.4 136502.15 148990.58
 [4,] 8922876 5020419  920024.9 557733.8 417285.5 249573.6 134286.50 146572.23
 [5,] 9333793 5251619  962393.9 583418.6 436502.3 261067.0 140470.67 153322.17
 [6,] 8880397 4996518  915644.9 555078.6 415298.9 248385.5 133647.21 145874.44
 [7,] 8953178 5037468  923149.3 559627.9 418702.6 250421.2 134742.54 147069.98
 [8,] 7298583 4106517  752546.3 456205.6 341324.1 204142.0 109841.39 119890.66
 [9,] 7106407 3998390  732731.3 444193.5 332336.8 198766.8 106949.20 116733.86
[10,] 6214115 3496346  640728.4 388419.8 290608.1 173809.3  93520.49 102076.57
[11,] 5915776 3328486  609967.1 369771.8 276656.0 165464.7  89030.58  97175.88
[12,] 5824143 3276930  600519.0 364044.2 272370.8 162901.8  87651.54  95670.68
[13,] 6191887 3483840  638436.6 387030.5 289568.6 173187.6  93185.97 101711.45
[14,] 6110750 3438188  630070.6 381958.9 285774.2 170918.2  91964.88 100378.64
            V9       V10       V11       V12      V13 V14
 [1,] 164285.3 148960.46 125852.73 151963.32 2285.400   0
 [2,] 171991.3 155947.62 131756.00 159091.33 2392.600   0
 [3,] 159618.3 144728.80 122277.52 147646.35 2220.477   0
 [4,] 157027.4 142379.62 120292.76 145249.82 2184.435   0
 [5,] 164258.9 148936.49 125832.48 151938.86 2285.033   0
 [6,] 156279.9 141701.80 119720.08 144558.33 2174.036   0
 [7,] 157560.7 142863.14 120701.27 145743.08 2191.853   0
 [8,] 128442.6 116461.26  98395.02 118808.97 1786.787   0
 [9,] 125060.7 113394.77  95804.22 115680.66 1739.740   0
[10,] 109357.8  99156.74  83774.89 101155.62 1521.295   0
[11,] 104107.6  94396.23  79752.87  96299.14 1448.258   0
[12,] 102495.0  92934.08  78517.53  94807.52 1425.825   0
[13,] 108966.7  98802.06  83475.24 100793.79 1515.854   0
[14,] 107538.8  97507.38  82381.39  99473.01 1495.990   0

$alpha
 [1] 17718690 18549805 17215338 16935906 17715838 16855279 16993420 13852944
 [9] 13488188 11794590 11228332 11054411 11752401 11598400

$beta
 [1] 0.5268614643 0.2964364084 0.0543239258 0.0329320333 0.0246391014
 [6] 0.0147363600 0.0079291006 0.0086545252 0.0092718645 0.0084069682
[11] 0.0071028238 0.0085764421 0.0001289825 0.0000000000

$Fj
      V2       V3       V4       V5       V6       V7       V8       V9 
1.562646 1.065983 1.037524 1.027059 1.015758 1.008347 1.009035 1.009593 
     V10      V11      V12      V13      V14 
1.008616 1.007217 1.008652 1.000129 1.000000 

> 
> 
> 
> 
> 
> dev.off()
null device 
          1 
>