mean.grouped.data: Arithmetic Mean

In actuar: Actuarial Functions and Heavy Tailed Distributions

Arithmetic Mean

Description

Mean of grouped data objects.

Usage

## S3 method for class 'grouped.data'
mean(x, ...)

Arguments

x	an object of class "grouped.data".
...	further arguments passed to or from other methods.

Details

The mean of grouped data with group boundaries c_0, c_1, \dots, c_r and group frequencies n_1, \dots, n_r is

\frac{1}{n} \sum_{j = 1}^r a_j n_j,

where a_j = (c_{j - 1} + c_j)/2 is the midpoint of the jth interval, and n = \sum_{j = 1}^r n_j.

Value

A named vector of means.

Author(s)

Vincent Goulet [e-mail]

References

Klugman, S. A., Panjer, H. H. and Willmot, G. E. (1998), Loss Models, From Data to Decisions, Wiley.

See Also

grouped.data to create grouped data objects; emm to compute higher moments.

Examples

data(gdental)
mean(gdental)

actuar documentation built on Nov. 8, 2023, 9:06 a.m.