| Pareto-class {distrEx} | R Documentation |
[borrowed from actuar]:
The (Single-parameter) Pareto distribution with parameter shape
= a has density:
f(x) = a b^a/x^(a + 1)
for x > b, a > 0 and b > 0.
Although there appears to be two parameters, only shape is a true
parameter. The value of min = b must be set in
advance.
Objects can be created by calls of the form new("Pareto", shape, Min).
More frequently they are created via the generating function
Pareto.
img:"Reals". param:"ParetoParameter". r:rpareto1d:dpareto1p:ppareto1q:qpareto1gaps:NULL.withArith:.withSim:.logExact:.lowerExact:
Class "AbscontDistribution", directly.
Class "UnivariateDistribution", by class "AbscontDistribution".
Class "Distribution", by class "AbscontDistribution".
signature(.Object = "Pareto"): initialize method. signature(object = "Pareto"): wrapped access method for
slot shape of slot param. signature(x = "Pareto"): wrapped access method for
slot Min of slot param. signature(object = "Pareto"): wrapped replace method for
slot shape of slot param. signature(x = "Pareto"): wrapped replace method for
slot Min of slot param.
This class is based on the code provided by the package actuar by Vincent Goulet and Mathieu Pigeon.
Nataliya Horbenko Nataliya.Horbenko@itwm.fraunhofer.de
Johnson et al. (1995) Continuous Univariate Distributions. Vol. 2. 2nd ed.
New York: Wiley.
Klugman, S. A., Panjer, H. H. and Willmot, G. E. (2004),
Loss Models, From Data to Decisions, Second Edition, Wiley.
dpareto1, AbscontDistribution-class
(P1 <- new("Pareto", shape = 1, Min = 2))
plot(P1)
shape(P1)
Min(P1)
shape(P1) <- 4
Min(P1) <- 2
plot(P1)