R: Moments and Moment Generating Function of the Uniform...

UniformSupp {actuar} | R Documentation

## Moments and Moment Generating Function of the Uniform Distribution

### Description

Raw moments, limited moments and moment generating function for the Uniform distribution from `min` to `max`.

### Usage

    munif(order, min = 0, max = 1)
    levunif(limit, min = 0, max =1, order = 1)
    mgfunif(t, min = 0, max = 1, log = FALSE)

### Arguments

`order` | order of the moment.
`min, max` | lower and upper limits of the distribution. Must be finite.
`limit` | limit of the random variable.
`t` | numeric vector.
`log` | logical; if `TRUE`, the cumulant generating function is returned.

### Details

The kth raw moment of the random variable X is E[X^k], the kth limited moment at some limit d is E[min(X, d)^k] and the moment generating function is E[e^{tX}].

### Value

`munif` gives the kth raw moment, `levunif` gives the kth moment of the limited random variable, and `mgfunif` gives the moment generating function in `t`.

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

### Author(s)

Vincent Goulet vincent.goulet@act.ulaval.ca, Christophe Dutang

### References

https://en.wikipedia.org/wiki/Uniform_distribution_%28continuous%29

### See Also

`Uniform`.

### Examples

    munif(-1)
    munif(1:5)
    levunif(3, order=1:5)
    levunif(3, 2, 4)
    mgfunif(1, 1, 2)

[Package actuar version 3.1-2 Index]