Moments and Moment Generating Function of the Uniform Distribution
Raw moments, limited moments and moment generating function for the
Uniform distribution from min to max.
munif(order, min = 0, max = 1) levunif(limit, min = 0, max =1, order = 1) mgfunif(t, min = 0, max = 1, log = FALSE)
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 |
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}].
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.
Vincent Goulet vincent.goulet@act.ulaval.ca, Christophe Dutang
munif(-1) munif(1:5) levunif(3, order=1:5) levunif(3, 2, 4) mgfunif(1, 1, 2)
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