Objects can be created by calls of the form new("EuclRandMatrix", ...).
More frequently they are created via the generating function
EuclRandMatrix.
Slots
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.
Extends
Class "EuclRandVariable", directly.
Class "RandVariable", by class "EuclRandVariable".
Methods
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 distrNA 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 distrNA 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.
R version 3.3.1 (2016-06-21) -- "Bug in Your Hair"
Copyright (C) 2016 The R Foundation for Statistical Computing
Platform: x86_64-pc-linux-gnu (64-bit)
R is free software and comes with ABSOLUTELY NO WARRANTY.
You are welcome to redistribute it under certain conditions.
Type 'license()' or 'licence()' for distribution details.
R is a collaborative project with many contributors.
Type 'contributors()' for more information and
'citation()' on how to cite R or R packages in publications.
Type 'demo()' for some demos, 'help()' for on-line help, or
'help.start()' for an HTML browser interface to help.
Type 'q()' to quit R.
> library(RandVar)
Loading required package: distr
Loading required package: startupmsg
:startupmsg> Utilities for Start-Up Messages (version 0.9.3)
:startupmsg>
:startupmsg> For more information see ?"startupmsg",
:startupmsg> NEWS("startupmsg")
Loading required package: sfsmisc
Loading required package: SweaveListingUtils
:SweaveListingUtils> Utilities for Sweave Together with
:SweaveListingUtils> TeX 'listings' Package (version
:SweaveListingUtils> 0.7.5)
:SweaveListingUtils>
:SweaveListingUtils> NOTE: Support for this package
:SweaveListingUtils> will stop soon.
:SweaveListingUtils>
:SweaveListingUtils> Package 'knitr' is providing the
:SweaveListingUtils> same functionality in a better
:SweaveListingUtils> way.
:SweaveListingUtils>
:SweaveListingUtils> Some functions from package 'base'
:SweaveListingUtils> are intentionally masked ---see
:SweaveListingUtils> SweaveListingMASK().
:SweaveListingUtils>
:SweaveListingUtils> Note that global options are
:SweaveListingUtils> controlled by
:SweaveListingUtils> SweaveListingoptions() ---c.f.
:SweaveListingUtils> ?"SweaveListingoptions".
:SweaveListingUtils>
:SweaveListingUtils> For more information see
:SweaveListingUtils> ?"SweaveListingUtils",
:SweaveListingUtils> NEWS("SweaveListingUtils")
:SweaveListingUtils> There is a vignette to this
:SweaveListingUtils> package; try
:SweaveListingUtils> vignette("ExampleSweaveListingUtils").
Attaching package: 'SweaveListingUtils'
The following objects are masked from 'package:base':
library, require
:distr> Object Oriented Implementation of Distributions (version
:distr> 2.6)
:distr>
:distr> Attention: Arithmetics on distribution objects are
:distr> understood as operations on corresponding random variables
:distr> (r.v.s); see distrARITH().
:distr>
:distr> Some functions from package 'stats' are intentionally masked
:distr> ---see distrMASK().
:distr>
:distr> Note that global options are controlled by distroptions()
:distr> ---c.f. ?"distroptions".
:distr>
:distr> For more information see ?"distr", NEWS("distr"), as well as
:distr> http://distr.r-forge.r-project.org/
:distr> Package "distrDoc" provides a vignette to this package as
:distr> well as to several extension packages; try
:distr> vignette("distr").
Attaching package: 'distr'
The following objects are masked from 'package:stats':
df, qqplot, sd
Loading required package: distrEx
:distrEx> Extensions of Package 'distr' (version 2.6)
:distrEx>
:distrEx> Note: Packages "e1071", "moments", "fBasics" should be
:distrEx> attached /before/ package "distrEx". See
:distrEx> distrExMASK().Note: Extreme value distribution
:distrEx> functionality has been moved to
:distrEx>
:distrEx> package "RobExtremes". See distrExMOVED().
:distrEx>
:distrEx> For more information see ?"distrEx", NEWS("distrEx"), as
:distrEx> well as
:distrEx> http://distr.r-forge.r-project.org/
:distrEx> Package "distrDoc" provides a vignette to this package
:distrEx> as well as to several related packages; try
:distrEx> vignette("distr").
Attaching package: 'distrEx'
The following objects are masked from 'package:stats':
IQR, mad, median, var
:RandVar> Implementation of Random Variables (version 1.0)
:RandVar>
:RandVar> For more information see ?"RandVar", NEWS("RandVar"), as
:RandVar> well as
:RandVar> http://robast.r-forge.r-project.org/
:RandVar> This package also includes a vignette; try
:RandVar> vignette("RandVar").
> png(filename="/home/ddbj/snapshot/RGM3/R_CC/result/RandVar/EuclRandMatrix-class.Rd_%03d_medium.png", width=480, height=480)
> ### Name: EuclRandMatrix-class
> ### Title: Euclidean random matrix
> ### Aliases: EuclRandMatrix-class
> ### coerce,EuclRandMatrix,EuclRandVarList-method Dim
> ### Dim,EuclRandMatrix-method Dim<- Dim<-,EuclRandMatrix-method
> ### [,EuclRandMatrix-method ncol,EuclRandMatrix-method
> ### nrow,EuclRandMatrix-method dimension,EuclRandMatrix-method
> ### evalRandVar,EuclRandMatrix,numeric,missing-method
> ### evalRandVar,EuclRandMatrix,matrix,missing-method
> ### evalRandVar,EuclRandMatrix,numeric,Distribution-method
> ### evalRandVar,EuclRandMatrix,matrix,Distribution-method
> ### t,EuclRandMatrix-method show,EuclRandMatrix-method
> ### %*%,matrix,EuclRandMatrix-method %*%,numeric,EuclRandMatrix-method
> ### %*%,EuclRandMatrix,matrix-method %*%,EuclRandMatrix,numeric-method
> ### %*%,EuclRandMatrix,EuclRandMatrix-method
> ### Arith,numeric,EuclRandMatrix-method
> ### Arith,EuclRandMatrix,numeric-method
> ### Arith,EuclRandMatrix,EuclRandMatrix-method Math,EuclRandMatrix-method
> ### E,UnivariateDistribution,EuclRandMatrix,missing-method
> ### E,AbscontDistribution,EuclRandMatrix,missing-method
> ### E,DiscreteDistribution,EuclRandMatrix,missing-method
> ### E,MultivariateDistribution,EuclRandMatrix,missing-method
> ### E,DiscreteMVDistribution,EuclRandMatrix,missing-method
> ### E,UnivariateCondDistribution,EuclRandMatrix,numeric-method
> ### E,AbscontCondDistribution,EuclRandMatrix,numeric-method
> ### E,DiscreteCondDistribution,EuclRandMatrix,numeric-method
> ### Keywords: classes arith math
>
> ### ** 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("EuclRandMatrix", Map = L1, Dim = as.integer(c(3,2)),
+ Domain = Reals(), Range = Reals())
> dimension(R1)
[1] 6
> R1[1:2, 2]
An object of class "EuclRandVariable"
length of Map: 2
Domain: Real Space with dimension 1
Range: Real Space with dimension 1
> R1[1:2, 1:2]
An object of class "EuclRandMatrix"
Dim of Map: 2 2
Domain: Real Space with dimension 1
Range: Real Space with dimension 1
> Map(R1[1,2])
[[1]]
function (x)
{
x^4
}
> Map(t(R1)[2,1])
[[1]]
function (x)
{
f <- function (x)
{
x^4
}
t(f(x))
}
<environment: 0x42885c8>
>
> R2 <- EuclRandMatrix(Map = L2, ncol = 2, Domain = Reals(), dimension = 1)
> dimension(R2)
[1] 4
> (DL <- imageDistr(R2, Norm()))
An object of class "DistrList"
[[1]] Distribution Object of Class: AbscontDistribution
[[2]] Distribution Object of Class: AbscontDistribution
[[3]] Distribution Object of Class: AbscontDistribution
[[4]] Distribution Object of Class: AbscontDistribution
Warning messages:
1: In function (object) :
arithmetics on distributions are understood as operations on r.v.'s
see 'distrARITH()'; for switching off this warning see '?distroptions'
2: In function (object) :
slots d,p,q have been filled using simulations; for switching off this warning see '?distroptions'
> plot(DL)
>
> Map(gamma(R2)) # "Math" group
[[1]]
function (x)
{
f1 <- function (x)
{
exp(x)
}
gamma(f1(x))
}
<environment: 0x50a2870>
[[2]]
function (x)
{
f1 <- function (x)
{
abs(x)
}
gamma(f1(x))
}
<environment: 0x50a2870>
[[3]]
function (x)
{
f1 <- function (x)
{
sin(x)
}
gamma(f1(x))
}
<environment: 0x50a2870>
[[4]]
function (x)
{
f1 <- function (x)
{
floor(x)
}
gamma(f1(x))
}
<environment: 0x50a2870>
>
> ## "Arith" group
> Map(2/R1)
[[1]]
function (x)
{
f2 <- function (x)
{
x
}
2/f2(x)
}
<environment: 0x50397b8>
[[2]]
function (x)
{
f2 <- function (x)
{
x^2
}
2/f2(x)
}
<environment: 0x50397b8>
[[3]]
function (x)
{
f2 <- function (x)
{
x^3
}
2/f2(x)
}
<environment: 0x50397b8>
[[4]]
function (x)
{
f2 <- function (x)
{
x^4
}
2/f2(x)
}
<environment: 0x50397b8>
[[5]]
function (x)
{
f2 <- function (x)
{
x^5
}
2/f2(x)
}
<environment: 0x50397b8>
[[6]]
function (x)
{
f2 <- function (x)
{
x^6
}
2/f2(x)
}
<environment: 0x50397b8>
> Map(R2 * R2)
[[1]]
function (x)
{
f1 <- function (x)
{
exp(x)
}
f2 <- function (x)
{
exp(x)
}
f1(x) * f2(x)
}
<environment: 0x4fbf6b8>
[[2]]
function (x)
{
f1 <- function (x)
{
abs(x)
}
f2 <- function (x)
{
abs(x)
}
f1(x) * f2(x)
}
<environment: 0x4fbf6b8>
[[3]]
function (x)
{
f1 <- function (x)
{
sin(x)
}
f2 <- function (x)
{
sin(x)
}
f1(x) * f2(x)
}
<environment: 0x4fbf6b8>
[[4]]
function (x)
{
f1 <- function (x)
{
floor(x)
}
f2 <- function (x)
{
floor(x)
}
f1(x) * f2(x)
}
<environment: 0x4fbf6b8>
>
>
>
>
>
> dev.off()
null device
1
>