RandVar (version 1.2.4)

EuclRandVarList-class: List of Euclidean random variables

Description

Create a list of Euclidean random variables

Objects from the Class

Objects can be created by calls of the form new("EuclRandVarList", ...). More frequently they are created via the generating function EuclRandVarList.

Slots

.Data

Object of class "list". A list of Euclidean random variables.

Extends

Class "list", from data part.
Class "vector", by class "list".

Methods

coerce

signature(from = "EuclRandVariable", to = "EuclRandVarList"): create a "EuclRandVarList" object from a Euclidean random variable.

coerce

signature(from = "EuclRandMatrix", to = "EuclRandVarList"): create a "EuclRandVarList" object from a Euclidean random matrix.

numberOfMaps

signature(object = "EuclRandVarList"): number of functions contained in the slots Map of the members of object.

dimension

signature(object = "EuclRandVarList"): dimension of the Euclidean random variable.

evalRandVar

signature(RandVar = "EuclRandVarList", x = "numeric"): evaluate the elements of RandVar at x.

evalRandVar

signature(RandVar = "EuclRandVarList", x = "matrix"): evaluate the elements of RandVar at rows of x.

evalRandVar

signature(RandVar = "EuclRandVarList", x = "numeric", distr = "Distribution"): evaluate the elements of RandVar at x assuming a probability space with distribution distr. In case x does not lie in the support of distr NA is returned.

evalRandVar

signature(RandVar = "EuclRandVarList", x = "matrix", distr = "Distribution"): evaluate the elements of RandVar at rows of x assuming a probability space with distribution distr. For those rows of x which do not lie in the support of distr NA is returned.

imageDistr

signature(RandVar = "EuclRandVarList", distr = "Distribution"): image distribution of distr under RandVar. Returns an object of class "DistrList".

show

signature(object = "EuclRandVarList")

t

signature(x = "EuclRandVarList"): returns an object of class "EuclRandVarList" where the rhe results of the functions in the slots Map of the members of x are transposed.

%m%

signature(x = "EuclRandVarList", y = "EuclRandVarList"): matrix multiplication for objects of class "EuclRandVarList". Generates an object of class "EuclRandVarList".

%*%

signature(x = "matrix", y = "EuclRandVarList"): matrix multiplication of x and y. Generates an object of class "EuclRandMatrix".

%*%

signature(x = "EuclRandVarList", y = "matrix"): matrix multiplication of x and y. Generates an object of class "EuclRandMatrix".

Arith

signature(e1 = "numeric", e2 = "EuclRandVarList"): Given a numeric vector e1, a list of Euclidean random variables e2 and an arithmetic operator op, the list of Euclidean random variables e1 op e2 is returned.

Arith

signature(e1 = "EuclRandVarList", e2 = "numeric"): Given a numeric vector e2, a list of Euclidean random variables e1 and an arithmetic operator op, the list of Euclidean random variables e1 op e2 is returned.

Arith

signature(e1 = "EuclRandVarList", e2 = "EuclRandVarList"): Given two lists of Euclidean random variables e1, e2 and an arithmetic operator op, the list of Euclidean random variables e1 op e2 is returned.

Math

signature(x = "EuclRandVarList"): Given a "Math" group generic fct, the list of Euclidean random variables fct(x) is returned.

E

signature(object = "UnivariateDistribution", fun = "EuclRandVarList", cond = "missing"): expectation of fun under univariate distributions.

E

signature(object = "AbscontDistribution", fun = "EuclRandVarList", cond = "missing"): expectation of fun under absolutely continuous univariate distributions.

E

signature(object = "DiscreteDistribution", fun = "EuclRandVarList", cond = "missing"): expectation of fun under discrete univariate distributions.

E

signature(object = "MultivariateDistribution", fun = "EuclRandVarList", cond = "missing"): expectation of fun under multivariate distributions.

E

signature(object = "DiscreteMVDistribution", fun = "EuclRandVarList", cond = "missing"): expectation of fun under discrete multivariate distributions.

E

signature(object = "UnivariateCondDistribution", fun = "EuclRandVarList", cond = "numeric"): expectation of fun under conditional univariate distributions.

E

signature(object = "AbscontCondDistribution", fun = "EuclRandVarList", cond = "numeric"): expectation of fun under absolutely continuous conditional univariate distributions.

E

signature(object = "DiscreteCondDistribution", fun = "EuclRandVarList", cond = "numeric"): expectation of fun under discrete conditional univariate distributions.

Author

Matthias Kohl

See Also

EuclRandMatrix, RandVariable-class, EuclRandVariable-class, EuclRandMatrix-class, Distribution-class, Arith, Math, E

Examples

L1 <- list(function(x){x}, function(x){x^2}, function(x){x^3}, function(x){x^4}, 
           function(x){x^5}, function(x){x^6})
L2 <- list(function(x){exp(x)}, function(x){abs(x)}, 
           function(x){sin(x)}, function(x){floor(x)})

R1 <- new("EuclRandVariable", Map = L2, Domain = Reals(), Range = Reals())
R2 <- EuclRandMatrix(Map = L1, ncol = 2, Domain = Reals(), dimension = 1)
R3 <- EuclRandMatrix(Map = L2, ncol = 2, Domain = Reals(), dimension = 1)

(RL1 <- new("EuclRandVarList", list(R1, R2, R3)))
dimension(RL1)
as(R1, "EuclRandVarList")
as(R2, "EuclRandVarList")

Map(exp(RL1)[[1]]) # "Math" group

## "Arith" group
Map((1 + RL1)[[1]])
Map((RL1 * 2)[[2]])
Map((RL1 / RL1)[[3]])