R: Class "Unif"

Unif-class {distr} | R Documentation

## Class "Unif"

### Description

The uniform distribution has density

d(x) = 1/(max-min)

for min, by default =0, ≤ x ≤ max, by default =1. C.f. `runif`

### Objects from the Class

Objects can be created by calls of the form `Unif(Min, Max)`. This object is a uniform distribution.

### Slots

`img`

  Object of class `"Reals"`: The space of the image of this distribution has got dimension 1 and the name "Real Space".

`param`

  Object of class `"UnifParameter"`: the parameter of this distribution (Min and Max), declared at its instantiation

`r`

  Object of class `"function"`: generates random numbers (calls function `runif`)

`d`

  Object of class `"function"`: density function (calls function `dunif`)

`p`

  Object of class `"function"`: cumulative function (calls function `punif`)

`q`

  Object of class `"function"`: inverse of the cumulative function (calls function `qunif`)

`.withArith`

  logical: used internally to issue warnings as to interpretation of arithmetics

`.withSim`

  logical: used internally to issue warnings as to accuracy

`.logExact`

  logical: used internally to flag the case where there are explicit formulae for the log version of density, cdf, and quantile function

`.lowerExact`

  logical: used internally to flag the case where there are explicit formulae for the lower tail version of cdf and quantile function

`Symmetry`

  object of class `"DistributionSymmetry"`; used internally to avoid unnecessary calculations.

### Extends

Class `"AbscontDistribution"`, directly.
Class `"UnivariateDistribution"`, by class `"AbscontDistribution"`.
Class `"Distribution"`, by class `"AbscontDistribution"`.

### Is-Relations

By means of `setIs`, R “knows” that a distribution object `obj` of class `"Unif"` with Min 0 and Max 1 also is a Beta distribution with parameters `shape1 = 1, shape2 = 1, ncp = 0`.

### Methods

initialize

  `signature(.Object = "Unif")`: initialize method

Min

  `signature(object = "Unif")`: returns the slot `Min` of the parameter of the distribution

Min<-

  `signature(object = "Unif")`: modifies the slot `Min` of the parameter of the distribution

Max

  `signature(object = "Unif")`: returns the slot `Max` of the parameter of the distribution

Max<-

  `signature(object = "Unif")`: modifies the slot `Max` of the parameter of the distribution

*

  `signature(e1 = "Unif", e2 = "numeric")`: multiplication of this uniform distribution by an object of class ‘numeric’

+

  `signature(e1 = "Unif", e2 = "numeric")`: addition of this uniform distribution to an object of class ‘numeric’

### Author(s)

Thomas Stabla statho3@web.de,
Florian Camphausen fcampi@gmx.de,
Peter Ruckdeschel peter.ruckdeschel@uni-oldenburg.de,
Matthias Kohl Matthias.Kohl@stamats.de

### See Also

`UnifParameter-class` `AbscontDistribution-class` `Reals-class` `runif`

### Examples

    U <- Unif(Min=0,Max=2) # U is a uniform distribution with Min=0 and Max=2.
    r(U)(1) # one random number generated from this distribution, e.g. 1.984357
    d(U)(1) # Density of this distribution is 0.5 for x=1.
    p(U)(1) # Probability that x<1 is 0.5.
    q(U)(.1) # Probability that x<0.2 is 0.1.
    ## in RStudio or Jupyter IRKernel, use q.l(.)(.) instead of q(.)(.)
    Min(U) # Min of this distribution is 0.
    Min(U) <- 1 # Min of this distribution is now 1.
    Min(U) # Min of this distribution is 1.
    Min(U) <- 0
    is(U/2,"Beta") # yes
    V <- U/2; as(V,"Beta")

[Package distr version 2.8.0 Index]