Numbers of Car Insurance claims

SUMMARY:

The data given in data frame Insurance consist of the numbers of policyholders of an insurance company who were exposed to risk, and the numbers of car insurance claims made by those policyholders in the third quarter of 1973.

DATA DESCRIPTION:

This data frame contains the following columns:

ARGUMENTS:

District
district of policyholder (1 to 4): 4 is major cities.
Group
group of car (1 to 4), <1 litre, 1-1.5 litre, 1.5-2 litre, >2 litre.
Age
of driver in 4 ordered groups, <25, 25-29, 30-35, >35.
Holders
numbers of policyholders
Claims
numbers of claims

SOURCE:

L. A. Baxter, S. M. Coutts and G. A. F. Ross (1980) Applications of linear models in motor insurance. Proceedings of the 21st International Congress of Actuaries, Zurich pp. 11-29

M. Aitkin, D. Anderson, B. Francis and J. Hinde (1989) Statistical Modelling in GLIM. Oxford University Press

EXAMPLES:

## main-effects fit as Poisson GLM with offset
glm(Claims ~ District + Group + Age + offset(log(Holders)),
    data = Insurance, family = poisson)
# same via loglm
loglm(Claims ~ District + Group + Age + offset(log(Holders)),
      data = Insurance)