emm {actuar} | R Documentation |
Empirical Moments
Description
Raw empirical moments for individual and grouped data.
Usage
emm(x, order = 1, ...)
## Default S3 method:
emm(x, order = 1, ...)
## S3 method for class 'grouped.data'
emm(x, order = 1, ...)
Arguments
x |
a vector or matrix of individual data, or an object of class
|
order |
order of the moment. Must be positive. |
... |
further arguments passed to or from other methods. |
Details
Arguments ...
are passed to colMeans
;
na.rm = TRUE
may be useful for individual data with missing
values.
For individual data, the th empirical moment is
.
For grouped data with group boundaries and group frequencies
, the
th empirical moment is
where .
Value
A named vector or matrix of moments.
Author(s)
Vincent Goulet vincent.goulet@act.ulaval.ca and Mathieu Pigeon
References
Klugman, S. A., Panjer, H. H. and Willmot, G. E. (1998), Loss Models, From Data to Decisions, Wiley.
See Also
mean
and mean.grouped.data
for simpler
access to the first moment.
Examples
## Individual data
data(dental)
emm(dental, order = 1:3)
## Grouped data
data(gdental)
emm(gdental)
x <- grouped.data(cj = gdental[, 1],
nj1 = sample(1:100, nrow(gdental)),
nj2 = sample(1:100, nrow(gdental)))
emm(x) # same as mean(x)
[Package actuar version 3.3-4 Index]