ConvexContamination {distrEx} | R Documentation |
Generic Function for Generating Convex Contaminations
Description
Generic function for generating convex contaminations. This is also
known as gross error model. Given two distributions
(ideal distribution),
(contaminating distribution) and the
size
the convex contaminated distribution
is generated.
Usage
ConvexContamination(e1, e2, size)
Arguments
e1 |
object of class |
e2 |
object of class |
size |
size of contamination (amount of gross errors) |
Value
Object of class "Distribution"
.
Methods
- e1 = "UnivariateDistribution", e2 = "UnivariateDistribution", size = "numeric":
-
convex combination of two univariate distributions
- e1 = "AbscontDistribution", e2 = "AbscontDistribution", size = "numeric":
-
convex combination of two absolutely continuous univariate distributions
- e1 = "DiscreteDistribution", e2 = "DiscreteDistribution", size = "numeric":
-
convex combination of two discrete univariate distributions
- e1 = "AcDcLcDistribution", e2 = "AcDcLcDistribution", size = "numeric":
-
convex combination of two univariate distributions which may be coerced to
"UnivarLebDecDistribution"
.
Author(s)
Matthias Kohl Matthias.Kohl@stamats.de
References
Huber, P.J. (1981) Robust Statistics. New York: Wiley.
See Also
ContaminationSize
, Distribution-class
Examples
# Convex combination of two normal distributions
C1 <- ConvexContamination(e1 = Norm(), e2 = Norm(mean = 5), size = 0.1)
plot(C1)