RAA Incremental Claims Triangle

Incremental claims data from the Reinsurance Association of America (RAA), converted from the cumulative triangle in the ChainLadder package. This is a classic 10x10 development triangle commonly used in actuarial reserving literature.

Usage

RAA_incremental

Format

A 10 x 10 numeric matrix with:

rows

Accident years 1981-1990

columns

Development periods 1-10

values

Incremental paid claims (thousands of dollars)

Source

Originally from the Reinsurance Association of America. Obtained from the ChainLadder R package (Gesmann et al., 2025). https://mages.github.io/ChainLadder/

Details

The data represents historical general liability claims from 1981-1990 with 10 development periods. Values are in thousands of dollars.

Note

This data was converted from cumulative to incremental format. Negative values (e.g., in 1982, period 7) represent payment recoveries or adjustments.

References

Gesmann M, Murphy D, Zhang Y, Carrato A, Wuthrich M, Concina F, Dal Moro E (2025). ChainLadder: Statistical Methods and Models for Claims Reserving in General Insurance. R package version 0.2.20.

See also

RAA_cumulative for the cumulative version

Examples

data(RAA_incremental)
# View the triangle
print(RAA_incremental)
#>       dev
#> origin    1    2    3    4    5    6    7   8   9  10
#>   1981 5012 3257 2638  898 1734 2642 1828 599  54 172
#>   1982  106 4179 1111 5270 3116 1817 -103 673 535  NA
#>   1983 3410 5582 4881 2268 2594 3479  649 603  NA  NA
#>   1984 5655 5900 4211 5500 2159 2658  984  NA  NA  NA
#>   1985 1092 8473 6271 6333 3786  225   NA  NA  NA  NA
#>   1986 1513 4932 5257 1233 2917   NA   NA  NA  NA  NA
#>   1987  557 3463 6926 1368   NA   NA   NA  NA  NA  NA
#>   1988 1351 5596 6165   NA   NA   NA   NA  NA  NA  NA
#>   1989 3133 2262   NA   NA   NA   NA   NA  NA  NA  NA
#>   1990 2063   NA   NA   NA   NA   NA   NA  NA  NA  NA

# Convert back to cumulative
RAA_cum <- t(apply(RAA_incremental, 1, cumsum))