actuar (version 3.3-4)

LognormalMoments: Raw and Limited Moments of the Lognormal Distribution

Description

Raw moments and limited moments for the Lognormal distribution whose logarithm has mean equal to meanlog and standard deviation equal to sdlog.

Usage

mlnorm(order, meanlog = 0, sdlog = 1)
levlnorm(limit, meanlog = 0, sdlog = 1, order = 1)

Value

mlnorm gives the \(k\)th raw moment and

levlnorm gives the \(k\)th moment of the limited loss variable.

Invalid arguments will result in return value NaN, with a warning.

Arguments

order

order of the moment.

limit

limit of the loss variable.

meanlog, sdlog

mean and standard deviation of the distribution on the log scale with default values of 0 and 1 respectively.

Author

Vincent Goulet and Mathieu Pigeon

References

Klugman, S. A., Panjer, H. H. and Willmot, G. E. (2012), Loss Models, From Data to Decisions, Fourth Edition, Wiley.

See Also

Lognormal for details on the lognormal distribution and functions [dpqr]lnorm.

Examples

mlnorm(2, 3, 4) - mlnorm(1, 3, 4)^2
levlnorm(10, 3, 4, order = 2)