Summary Method for the S3 Class Object mcSetup
summary.mcSetup.RdThe function provides an overall summary of the output from the function
incrExplor()
Usage
# S3 method for class 'mcSetup'
summary(object, ...)Arguments
- object
an object of the class
mcSetup– the output from theincrExplor()function- ...
not used
Value
Returns a standard summary table (with basic description characteristics) for raw run-off triangle increments and their standardized (by using the maximum increment) counterparts. The function also returns the corresponding bins for the increments and their representations in terms of the Markov chain states.
Examples
data(CameronMutual)
summary(CameronMutual)
#> 1 2 3 4 5
#> Min. :3689 Min. : 6043 Min. : 6789 Min. : 7089 Min. : 7164
#> 1st Qu.:5066 1st Qu.: 8055 1st Qu.: 8978 1st Qu.: 9402 1st Qu.: 9776
#> Median :5186 Median : 8590 Median : 9551 Median :10189 Median :10618
#> Mean :5448 Mean : 8866 Mean :10105 Mean :10669 Mean :11009
#> 3rd Qu.:5926 3rd Qu.: 9761 3rd Qu.:11500 3rd Qu.:12098 3rd Qu.:12507
#> Max. :7452 Max. :12421 Max. :14171 Max. :14752 Max. :15066
#> 6 7 8 9
#> Min. : 7197 Min. : 7253 Min. : 7267 Min. : 7266
#> 1st Qu.: 9854 1st Qu.: 9908 1st Qu.: 9959 1st Qu.: 9908
#> Median :10724 Median :10758 Median :10792 Median :10792
#> Mean :11158 Mean :11241 Mean :11289 Mean :11294
#> 3rd Qu.:12702 3rd Qu.:12806 3rd Qu.:12882 3rd Qu.:12888
#> Max. :15354 Max. :15637 Max. :15720 Max. :15744
#> 10
#> Min. : 7266
#> 1st Qu.: 9907
#> Median :10803
#> Mean :11312
#> 3rd Qu.:12890
#> Max. :15786
## default summary output
summary(incrExplor(CameronMutual))
#> Input triangle type: Cumulative
#> Summary of the increments
#> Min 1st Q. Median Mean 3rd Q. Max Std.Er.
#> Raw increments 0 197.0000 529.0000 1126.0000 1595.000 4969 1340.0000
#> Std. increments 0 0.0396 0.1065 0.2267 0.321 1 0.2697
#>
#> Total number of increments: 45, Total number of unique increments: 45
#> Number of suspicious increments (using 2σ rule): 8, Outliers (3σ rule): 1
#>
#> Data-driven bins for the run-off triangle increments
#> [1] "[-Inf, 75)" "[75, 147)" "[147, 288)" "[288, 388)" "[388, 554)"
#> [6] "[554, 780)" "[780, 1465)" "[1465, 2587)" "[2587, 3955)" "[3955, Inf)"
#>
#> Markov Chain states (medians of the increments within each bin)
#> [1] 13.0 81.0 197.0 302.5 438.0 601.0 948.0 1672.5 3073.0 3993.0
## summary output for user-modified settings
summary(incrExplor(CameronMutual, states = 5, method = "mean"))
#> Input triangle type: Cumulative
#> Summary of the increments (development periods: 2,3,4,5,6,7,8,9,10)
#> Min 1st Q. Median Mean 3rd Q. Max Std.Er.
#> Raw increments 0 197.0000 529.0000 1126.0000 1595.000 4969 1340.0000
#> Std.increments 0 0.0396 0.1065 0.2267 0.321 1 0.2697
#>
#> Total number of increments: 45, Total number of unique increments: 45
#> Number of suspicious increments (using 2σ rule): 4, Outliers (3σ rule): 0
#>
#> User-defined bins for the selected run-off triangle increments
#> [1] "[-Inf, 147)" "[147, 388)" "[388, 780)" "[780, 2587)" "[2587, Inf)"
#>
#> Markov Chain states (means of the increments within each bin)
#> [1] 48.11111 249.55556 523.77778 1273.22222 3536.77778