Description Objects from the Class Slots Extends Methods Author(s) See Also Examples

Class of Euclidean random matrices.

Objects can be created by calls of the form `new("EuclRandMatrix", ...)`

.
More frequently they are created via the generating function
`EuclRandMatrix`

.

`Dim`

vector of positive integers: Dimensions of the random matrix.

`Map`

Object of class

`"list"`

: list of functions.`Domain`

Object of class

`"OptionalrSpace"`

domain of the random matrix.`Range`

Object of class

`"OptionalrSpace"`

range of the random matrix.

Class `"EuclRandVariable"`

, directly.

Class `"RandVariable"`

, by class `"EuclRandVariable"`

.

- coerce
`signature(from = "EuclRandMatrix", to = "EuclRandVarList")`

: create a`"EuclRandVarList"`

object from a Euclidean random matrix.- [
`signature(x = "EuclRandMatrix")`

: generates a new Euclidean random variable/matrix by extracting elements of the slot`Map`

of`x`

.- Dim
`signature(object = "EuclRandMatrix")`

: accessor function for slot`Dim`

.- Dim<-
`signature(object = "EuclRandMatrix", )`

: replacement function for slot`Dim`

.- ncol
`signature(x = "EuclRandMatrix")`

: number of columns of`x`

.- nrow
`signature(x = "EuclRandMatrix")`

: number of rows of`x`

.- dimension
`signature(object = "EuclRandMatrix")`

: dimension of the Euclidean random variable.- evalRandVar
`signature(RandVar = "EuclRandMatrix", x = "numeric")`

: evaluate the slot`Map`

of`RandVar`

at`x`

.- evalRandVar
`signature(RandVar = "EuclRandMatrix", x = "matrix")`

: evaluate the slot`Map`

of`RandVar`

at`x`

.- evalRandVar
`signature(RandVar = "EuclRandMatrix", x = "numeric", distr = "Distribution")`

: evaluate the slot`Map`

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 = "EuclRandMatrix", x = "matrix", distr = "Distribution")`

: evaluate the slot`Map`

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.- t
`signature(x = "EuclRandMatrix")`

: transposes`x`

. In addition, the results of the functions in the slot`Map`

of`x`

are transposed.- show
`signature(object = "EuclRandMatrix")`

- %*%
`signature(x = "matrix", y = "EuclRandMatrix")`

: matrix multiplication of`x`

and`y`

. Generates an object of class`"EuclRandMatrix"`

.- %*%
`signature(x = "numeric", y = "EuclRandMatrix")`

: matrix multiplication of`x`

and`y`

. Generates an object of class`"EuclRandMatrix"`

.- %*%
`signature(x = "EuclRandVariable", y = "EuclRandMatrix")`

: matrix multiplication of`x`

and`y`

. Generates an object of class`"EuclRandMatrix"`

.- %*%
`signature(x = "EuclRandMatrix", y = "matrix")`

: matrix multiplication of`x`

and`y`

. Generates an object of class`"EuclRandMatrix"`

.- %*%
`signature(x = "EuclRandMatrix", y = "numeric")`

: matrix multiplication of`x`

and`y`

. Generates an object of class`"EuclRandMatrix"`

.- %*%
`signature(x = "EuclRandMatrix", y = "EuclRandMatrix")`

: matrix multiplication of`x`

and`y`

. Generates an object of class`"EuclRandMatrix"`

.- %*%
`signature(x = "EuclRandMatrix", y = "EuclRandVariable")`

: matrix multiplication of`x`

and`y`

. Generates an object of class`"EuclRandMatrix"`

.- Arith
`signature(e1 = "numeric", e2 = "EuclRandMatrix")`

: Given a numeric vector`e1`

, a Euclidean random matrix`e2`

and an arithmetic operator`op`

, the Euclidean random matrix`e1 op e2`

is returned.- Arith
`signature(e1 = "EuclRandMatrix", e2 = "numeric")`

: Given a Euclidean random matrix`e1`

, a numeric vector`e2`

, and an arithmetic operator`op`

, the Euclidean random matrix`e1 op e2`

is returned.- Arith
`signature(e1 = "EuclRandMatrix", e2 = "EuclRandMatrix")`

: Given two Euclidean random matrices`e1`

and`e2`

, and an arithmetic operator`op`

, the Euclidean random matrix`e1 op e2`

is returned.- Math
`signature(x = "EuclRandMatrix")`

: Given a`"Math"`

group generic`fct`

, the Euclidean random matrix`fct(x)`

is returned.- E
`signature(object = "UnivariateDistribution", fun = "EuclRandMatrix", cond = "missing")`

: expectation of`fun`

under univariate distributions.- E
`signature(object = "AbscontDistribution", fun = "EuclRandMatrix", cond = "missing")`

: expectation of`fun`

under absolutely continuous univariate distributions.- E
`signature(object = "DiscreteDistribution", fun = "EuclRandMatrix", cond = "missing")`

: expectation of`fun`

under discrete univariate distributions.- E
`signature(object = "MultivariateDistribution", fun = "EuclRandMatrix", cond = "missing")`

: expectation of`fun`

under multivariate distributions.- E
`signature(object = "DiscreteMVDistribution", fun = "EuclRandMatrix", cond = "missing")`

: expectation of`fun`

under discrete multivariate distributions.- E
`signature(object = "UnivariateCondDistribution", fun = "EuclRandMatrix", cond = "numeric")`

: conditional expectation of`fun`

under conditional univariate distributions.- E
`signature(object = "AbscontCondDistribution", fun = "EuclRandMatrix", cond = "numeric")`

: conditional expectation of`fun`

under absolutely continuous conditional univariate distributions.- E
`signature(object = "DiscreteCondDistribution", fun = "EuclRandMatrix", cond = "numeric")`

: conditional expectation of`fun`

under discrete conditional univariate distributions.

Matthias Kohl [email protected]

`EuclRandMatrix`

, `RandVariable-class`

,
`EuclRandVariable-class`

, `EuclRandVarList-class`

,
`Distribution-class`

, `Arith`

,
`Math`

, `E`

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 | ```
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("EuclRandMatrix", Map = L1, Dim = as.integer(c(3,2)),
Domain = Reals(), Range = Reals())
dimension(R1)
R1[1:2, 2]
R1[1:2, 1:2]
Map(R1[1,2])
Map(t(R1)[2,1])
R2 <- EuclRandMatrix(Map = L2, ncol = 2, Domain = Reals(), dimension = 1)
dimension(R2)
(DL <- imageDistr(R2, Norm()))
plot(DL)
Map(gamma(R2)) # "Math" group
## "Arith" group
Map(2/R1)
Map(R2 * R2)
``` |

RandVar documentation built on May 2, 2019, 5:20 p.m.

Embedding an R snippet on your website

Add the following code to your website.

For more information on customizing the embed code, read Embedding Snippets.