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An illustrative dataset—a matrix (of the dimensions 10x10) with ten completed years of claims payment developments of the Cameron Mutual Insurance company from the period 1988 – 1997. The data matrix contains ten origin/occurrence years (in rows where the first row represents the incident year 1988) with ten consecutive development periods/years (in columns).

Usage

data(CameronMutual)

Format

CameronMutual

A simple 10x10 matrix of a class triangle with ten origin years (rows) each being fully developed within ten consecutive development periods/years (columns)

origin

matrix rows with the occurrence year (origin)

dev

matrix columns with the development period (development)

Source

https://www.casact.org/publications-research/research/research-resources
(PP Auto Data Set, NAIC group code: 5320)

Details

The run-off triangle (the upper-left triangular part of the data matrix) contains only positive increments making the triangle suitable for the typical benchmark reserving approach—the over-dispersed Poisson model (GLM regression model).

In practice, the upper-left triangle (the run-off triangle) is typically observed (known) while the bottom-right triangular part of the data matrix is treated as a future payments outcome (an "unknown" truth) that should be estimated/predicted. The Cameron Mutual Insurance data matrix is fully observed (i.e., obtained retrospectively) to allow for some goodness-of-fit evaluations.

References

Meyers, G. G. and P. Shi (2011). Loss reserving data pulled from NAIC Schedule P. Available from https://www.casact.org/publications-research/research/research-resources

Maciak, M., Mizera, I., and Pešta, M. (2022). Functional Profile Techniques for Claims Reserving. ASTIN Bulletin, 52(2), 449-482. DOI:10.1017/asb.2022.4 (Portfolio #1)

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