AbscontDistribution

0th

Percentile

Generating function "AbscontDistribution"

Generates an object of class "AbscontDistribution"

Keywords
distribution
Usage
AbscontDistribution(r)
AbscontDistribution(r = NULL, d)
AbscontDistribution(r = NULL, d = NULL, p)
AbscontDistribution(r = NULL, d = NULL, p = NULL, d)
AbscontDistribution(r, d, p, q)
AbscontDistribution(r = NULL, d = NULL, p = NULL, q = NULL,
gaps = NULL, param = NULL, img = new("Reals"),
.withSim = FALSE, .withArith = FALSE,
low1 = NULL, up1 = NULL, low = -Inf, up =Inf,
withStand = FALSE,
ngrid = getdistrOption("DefaultNrGridPoints"),
ep = getdistrOption("TruncQuantile"),
e = getdistrOption("RtoDPQ.e"),
withgaps = getdistrOption("withgaps"))
Arguments
r
slot r to be filled
d
slot d to be filled
p
slot p to be filled
q
slot q to be filled
gaps
slot gaps (of class "matrix" with two columns) to be filled (i.e. t(gaps) must be ordered if read as vector)
param
parameter (of class "OptionalParameter")
img
image range of the distribution (of class "rSpace")
low1
lower bound (to be the lower TruncQuantile-quantile of the distribution)
up1
upper bound (to be the upper TruncQuantile-quantile of the distribution)
low
lower bound (to be the 100-percent-quantile of the distribution)
up
upper bound (to be the 100-percent-quantile of the distribution)
withStand
logical: shall we standardize argument function d to integrate to 1 --- default is no resp. FALSE
ngrid
number of gridpoints
ep
tolerance epsilon
e
exponent to base 10 to be used for simulations
withgaps
logical; shall gaps be reconstructed empirically?
.withArith
normally not set by the user, but if determining the entries supp, prob distributional arithmetics was involved, you may set this to TRUE.
.withSim
normally not set by the user, but if determining the entries supp, prob simulations were involved, you may set this to TRUE.
Details

Minimally, only one of the slots r, d, p or q needs to be given as argument. The other non-given slots are then reconstructed according to the following scheme: ccccl{ r d p q proceding - - - - excluded - + - - p by .D2P, q by .P2Q, r by q(runif(n)) - - + - d by .P2D, q by .P2Q, r by q(runif(n)) - + + - q by .P2Q, r by q(runif(n)) - - - + p by .Q2P, d by .P2D, r by q(runif(n)) - + - + p by .Q2P, r by q(runif(n)) - - + + d by .P2D, r by q(runif(n)) - + + + r by q(runif(n)) + - - - call to RtoDPQ + + - - p by .D2P, q by .P2Q + - + - d by .P2D, q by .P2Q + + + - q by .P2Q + - - + p by .Q2P, d by .P2D + + - + p by .Q2P + - + + d by .P2D + + + + nothing } For this purpose, one may alternatively give arguments low1 and up1 (NULL each by default, and determined through slot q, resp. p, resp. d, resp. r in this order according to availability), for the (finite) range of values in the support of this distribution, as well as the possibly infinite theoretical range given by arguments low and up with default values -Inf, Inf, respectively. Of course all other slots may be specified as arguments.

Value

• Object of class "AbscontDistribution"

synopsis

AbscontDistribution(r = NULL, d = NULL, p = NULL, q = NULL, gaps = NULL, param = NULL, img = new("Reals"), .withSim = FALSE, .withArith = FALSE, low1 = NULL, up1 = NULL, low = -Inf, up =Inf, withStand = FALSE, ngrid = getdistrOption("DefaultNrGridPoints"), ep = getdistrOption("TruncQuantile"), e = getdistrOption("RtoDPQ.e"), withgaps = getdistrOption("withgaps"))

concept

• absolutely continuous distribution
• generating function

AbscontDistribution-class, DiscreteDistribution-class, RtoDPQ

Aliases
• AbscontDistribution
Examples
plot(Norm())
plot(AbscontDistribution(r = rnorm))
plot(AbscontDistribution(d = dnorm))
plot(AbscontDistribution(p = pnorm))
plot(AbscontDistribution(q = qnorm))
plot(Ac <- AbscontDistribution(d = function(x, log = FALSE){
d <- exp(-abs(x^3))
## unstandardized!!
if(log) d <- log(d)
return(d)},
withStand = TRUE))
Documentation reproduced from package distr, version 2.0.6, License: LGPL-3

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