WeibullMoments | R Documentation |
Raw moments and limited moments for the Weibull distribution with
parameters shape
and scale
.
mweibull(order, shape, scale = 1)
levweibull(limit, shape, scale = 1, order = 1)
order |
order of the moment. |
limit |
limit of the loss variable. |
shape, scale |
shape and scale parameters, the latter defaulting to 1. |
The k
th raw moment of the random variable X
is
E[X^k]
and the k
th limited moment at some limit
d
is E[\min(X, d)^k]
, k >
-\tau
.
mweibull
gives the k
th raw moment and
levweibull
gives the k
th moment of the limited loss
variable.
Invalid arguments will result in return value NaN
, with a warning.
Vincent Goulet vincent.goulet@act.ulaval.ca and Mathieu Pigeon
Klugman, S. A., Panjer, H. H. and Willmot, G. E. (2012), Loss Models, From Data to Decisions, Fourth Edition, Wiley.
Weibull
for details on the Weibull distribution and
functions [dpqr]weibull
.
mweibull(2, 3, 4) - mweibull(1, 3, 4)^2
levweibull(10, 3, 4, order = 2)
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