Nbinom-class {distr} | R Documentation |
The negative binomial distribution with size
= n, by default =1, and
prob
= p, by default =0.5, has density
d(x) = Gamma(x+n)/(Gamma(n) x!) p^n (1-p)^x
for x = 0, 1, 2, ...
This represents the number of failures
which occur in a sequence of Bernoulli trials before a target number
of successes is reached.
C.f. rnbinom
Objects can be created by calls of the form Nbinom(prob, size)
.
This object is a negative binomial distribution.
img
:"Naturals"
: The space of the image of this
distribution has got dimension 1 and the name "Natural Space". param
:"NbinomParameter"
: the parameter of this distribution (prob, size),
declared at its instantiation r
:"function"
: generates random numbers (calls function rnbinom
) d
:"function"
: density function (calls function dnbinom
) p
:"function"
: cumulative function (calls function pnbinom
) q
:"function"
: inverse of the cumulative function (calls function qnbinom
).
The quantile is defined as the smallest value x such that
F(x) >= p, where F is the distribution function.support
:"numeric"
: a (sorted) vector containing the support of the discrete
density function
Class "DiscreteDistribution"
, directly.
Class "UnivariateDistribution"
, by class "DiscreteDistribution"
.
Class "Distribution"
, by class "DiscreteDistribution"
.
signature(.Object = "Nbinom")
: initialize method signature(object = "Nbinom")
: returns the slot prob
of the parameter of the distribution signature(object = "Nbinom")
: modifies the slot prob
of the parameter of the distribution signature(object = "Nbinom")
: returns the slot size
of the parameter of the distribution signature(object = "Nbinom")
: modifies the slot size
of the parameter of the distribution Working with a computer, we use a finite interval as support which carries at least mass 1-TruncQuantile.
Thomas Stabla Thomas.Stabla@uni-bayreuth.de,
Florian Camphausen Florian.Camphausen@uni-bayreuth.de,
Peter Ruckdeschel Peter.Ruckdeschel@uni-bayreuth.de,
Matthias Kohl Matthias.Kohl@uni-bayreuth.de
NbinomParameter-class
DiscreteDistribution-class
Naturals-class
rnbinom
N=Nbinom(prob=0.5,size=1) # N is a binomial distribution with prob=0.5 and size=1. r(N)(1) # one random number generated from this distribution, e.g. 3 d(N)(1) # Density of this distribution is 0.25 for x=1. p(N)(0.4) # Probability that x<0.4 is 0.5. q(N)(.1) # x=0 is the smallest value x such that p(B)(x)>=0.1. size(N) # size of this distribution is 1. size(N)=2 # size of this distribution is now 2.