Logis-class {distr} | R Documentation |
The Logistic distribution with location
= m,
by default = 0
, and scale
= s, by default = 1
,
has distribution function
p(x) = 1 / (1 + exp(-(x-m)/s))
and density
d(x) = 1/s exp((x-m)/s) (1 + exp((x-m)/s))^-2.
It is a long-tailed distribution with mean m and variance
pi^2 /3 s^2. C.f. rlogis
Objects can be created by calls of the form Logis(location, scale)
.
This object is a logistic distribution.
img
:"Reals"
: The space of the image of this distribution has got dimension 1
and the name "Real Space". param
:"LogisParameter"
: the parameter of this distribution (location and scale),
declared at its instantiation r
:"function"
: generates random numbers (calls function rlogis)d
:"function"
: density function (calls function dlogis)p
:"function"
: cumulative function (calls function plogis)q
:"function"
: inverse of the cumulative function (calls function qlogis)
Class "AbscontDistribution"
, directly.
Class "UnivariateDistribution"
, by class "AbscontDistribution"
.
Class "Distribution"
, by class "AbscontDistribution"
.
signature(.Object = "Logis")
: initialize method signature(object = "Logis")
: returns the slot location
of the parameter of the distribution signature(object = "Logis")
: modifies the slot location
of the parameter of the distribution signature(object = "Logis")
: returns the slot scale
of the parameter of the distribution signature(object = "Logis")
: modifies the slot scale
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.
Thomas Stabla statho3@web.de,
Florian Camphausen fcampi@gmx.de,
Peter Ruckdeschel Peter.Ruckdeschel@itwm.fraunhofer.de,
Matthias Kohl Matthias.Kohl@stamats.de
LogisParameter-class
AbscontDistribution-class
Reals-class
rlogis
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. location(L) # location of this distribution is 1. location(L) <- 2 # location of this distribution is now 2.