Logis-class {distr} | R Documentation |
Class "Logis"
Description
The Logistic distribution with location
,
by default
= 0
, and scale
, by default
= 1
,
has distribution function
and density
It is a long-tailed distribution with mean and variance
. C.f.
rlogis
Objects from the Class
Objects can be created by calls of the form Logis(location, scale)
.
This object is a logistic 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
"LogisParameter"
: the parameter of this distribution (location and scale), declared at its instantiationr
Object of class
"function"
: generates random numbers (calls function rlogis)d
Object of class
"function"
: density function (calls function dlogis)p
Object of class
"function"
: cumulative function (calls function plogis)q
Object of class
"function"
: inverse of the cumulative function (calls function qlogis).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"
.
Methods
- initialize
signature(.Object = "Logis")
: initialize method- location
signature(object = "Logis")
: returns the slotlocation
of the parameter of the distribution- location<-
signature(object = "Logis")
: modifies the slotlocation
of the parameter of the distribution- scale
signature(object = "Logis")
: returns the slotscale
of the parameter of the distribution- scale<-
signature(object = "Logis")
: modifies the slotscale
of the parameter of the distribution- *
signature(e1 = "Logis", e2 = "numeric")
- +
signature(e1 = "Logis", e2 = "numeric")
: For the logistic location scale family we use its closedness under affine linear transformations.
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
LogisParameter-class
AbscontDistribution-class
Reals-class
rlogis
Examples
L <- Logis(location = 1,scale = 1)
# L is a logistic distribution with location = 1 and scale = 1.
r(L)(1) # one random number generated from this distribution, e.g. 5.87557
d(L)(1) # Density of this distribution is 0.25 for x = 1.
p(L)(1) # Probability that x < 1 is 0.5.
q(L)(.1) # Probability that x < -1.197225 is 0.1.
## in RStudio or Jupyter IRKernel, use q.l(.)(.) instead of q(.)(.)
location(L) # location of this distribution is 1.
location(L) <- 2 # location of this distribution is now 2.