motorins {GLMsData}

Swedish third-party car insurance

Description

The data give details of third-party motor insurance claims in Sweden for the year 1977.

Usage

data(motorins)
data(motorins1)

Format

A data frame with 2182 observations on the following 7 variables

Kilometres

the number of kilometres travelled per year; a numeric vector with levels 1 (less than 10000), 2 (from 10000 to 15000), 3 (15000 to 20000), 4 (20000 to 25000) or 5 (more than 25000)

Zone

geographical zone (only in motorins); a numeric vector with levels 1 to 7 ()see Details below)

Bonus

no claim bonus; a numeric vector equal to the number of years plus one since the last claim

Make

the make of vehicle; a numeric vector with levels from 1 to 8 representing eight common cart models, and 9 representing all other models

Insured

the number of insured in policy-years; a numeric vector

Claims

the number of claims; a numeric vector

Payment

the total value of payments in Skoner; a numeric vector

Details

For variable Zone, the geographical zones are:

1	Stockholm, Goteborg, Malmo with surroundings
2	Other large cities and surroundings
3	Small cities in northern Sweden
4	Small cities in southern Sweden
5	Rural areas in northern Sweden
6	Rural areas in southern Sweden
7	Gotland

The file motorins1 only contains the data from Zone 1 (and hence Zone is not one of the variables in that data set).

“In Sweden all motor insurance companies apply identical risk arguments to classify customers, and thus their portfolios and their claims statistics can be combined. The data were compiled by a Swedish Committee on the Analysis of Risk Premium in Motor Insurance. The Committee was asked to look into the problem of analyzing the real influence on claims of the risk arguments and to compare this structure with the actual tariff” (Andrews and Herzberg (1985), p. 413).

Make 4 is the Volkswagen 1200, which was discontinued shortly after 1977. The other makes could not be identified because of the potential for the data to impact on sales of those cars.

For this data, the number of claims has a Poisson distribution, and the amount of each claim follows a gamma distribution very nicely. The total claim has a Tweedie distribution.

Source

The OzDASL datasets. The data were obtained electronically from the Statlib database by Dr Gordon Smyth for OzDASL (http://www.statsci.org/data/).

References

M. Hallin and J.-F. Ingenbleek (1983) The Swedish automobile portfolio in 1977. A statistical study. Scandinavian Actuarial Journal, 49–64. The data are not listed in this reference.

D. F. Andrews and A. M. Herzberg (1985) Data. A collection of problems from many fields for the student and research worker. Springer, New York, pages 413–421. Only the data from Zone 1 are listed (that is, corresponds to motorins1).

Examples

data(motorins)
summary(motorins)