Unif-class | R Documentation |
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 can be created by calls of the form Unif(Min, Max)
.
This object is a uniform distribution.
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.
Class "AbscontDistribution"
, directly.
Class "UnivariateDistribution"
, by class "AbscontDistribution"
.
Class "Distribution"
, by class "AbscontDistribution"
.
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
.
signature(.Object = "Unif")
: initialize method
signature(object = "Unif")
: returns the slot Min
of the parameter of the distribution
signature(object = "Unif")
: modifies the slot Min
of the parameter of the distribution
signature(object = "Unif")
: returns the slot Max
of the parameter of the distribution
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’
Thomas Stabla statho3@web.de,
Florian Camphausen fcampi@gmx.de,
Peter Ruckdeschel peter.ruckdeschel@uni-oldenburg.de,
Matthias Kohl Matthias.Kohl@stamats.de
UnifParameter-class
AbscontDistribution-class
Reals-class
runif
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")
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