NormalSupp: Moments and Moment generating function of the Normal...

Description Usage Arguments Details Value Author(s) References See Also Examples

Description

Raw moments and moment generating function for the normal distribution with mean equal to mean and standard deviation equal to sd.

Usage

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mnorm(order, mean = 0, sd = 1)
mgfnorm(t, mean = 0, sd = 1, log = FALSE)

Arguments

order

vector of integers; order of the moment.

mean

vector of means.

sd

vector of standard deviations.

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] and the moment generating function is E[e^{tX}].

Only integer moments are supported.

Value

mnorm gives the kth raw moment and mgfnorm 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

Johnson, N. L. and Kotz, S. (1970), Continuous Univariate Distributions, Volume 1, Wiley.

See Also

Normal

Examples

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mgfnorm(0:4,1,2)
mnorm(3)

actuar documentation built on May 31, 2021, 9:10 a.m.