Unif-class {distr}

Class "Unif"

Description

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

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 [e-mail],
Florian Camphausen [e-mail],
Peter Ruckdeschel [e-mail],
Matthias Kohl [e-mail]

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")