Unif-class

0th

Percentile

Class "Unif"

The uniform distribution has density $$d(x) = \frac{1}{max-min}$$ for $min$, by default $=0$, $\le x \le max$, by default $=1$. C.f. runif

Keywords
distribution
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'

See Also

UnifParameter-class AbscontDistribution-class Reals-class runif

Aliases
  • Unif-class
  • Unif
  • initialize,Unif-method
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.
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")
Documentation reproduced from package distr, version 2.6, License: LGPL-3

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