Binom-class {distr} | R Documentation |
The binomial distribution with size
= n, by default =1, and
prob
= p, by default =0.5, has density
p(x) = choose(n,x) p^x (1-p)^(n-x)
for x = 0, ..., n.
C.f.rbinom
Objects can be created by calls of the form Binom(prob, size)
.
This object is a binomial distribution.
img
:"Naturals"
: The space of the image of this
distribution has got dimension 1 and the name "Natural Space". param
:"BinomParameter"
: the parameter of this distribution (prob
, size
),
declared at its instantiation r
:"function"
: generates random numbers (calls function rbinom
) d
:"function"
: density function (calls function dbinom
) p
:"function"
: cumulative function (calls function pbinom
) q
:"function"
: inverse of the cumulative function (calls function qbinom
).
The quantile is defined as the smallest value x such that F(x) >= p, where F is the cumulative 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(e1 = "Binom", e2 = "Binom")
: For two binomial distributions with equal probabilities
the exact convolution formula is implemented thereby improving the general numerical approximation.signature(.Object = "Binom")
: initialize method signature(object = "Binom")
: returns the slot prob
of the parameter of the distribution signature(object = "Binom")
: modifies the slot prob
of the parameter of the distribution signature(object = "Binom")
: returns the slot size
of the parameter of the distribution signature(object = "Binom")
: modifies the slot size
of the parameter of the distribution
Thomas Stabla statho3@web.de,
Florian Camphausen fcampi@gmx.de,
Peter Ruckdeschel Peter.Ruckdeschel@uni-bayreuth.de,
Matthias Kohl Matthias.Kohl@stamats.de
BinomParameter-class
DiscreteDistribution-class
Naturals-class
rbinom
B=Binom(prob=0.5,size=1) # B is a binomial distribution with prob=0.5 and size=1. r(B)(1) # # one random number generated from this distribution, e.g. 1 d(B)(1) # Density of this distribution is 0.5 for x=1. p(B)(0.4) # Probability that x<0.4 is 0.5. q(B)(.1) # x=0 is the smallest value x such that p(B)(x)>=0.1. size(B) # size of this distribution is 1. size(B)=2 # size of this distribution is now 2. C=Binom(prob=0.5,size=1) # C is a binomial distribution with prob=0.5 and size=1. D=Binom(prob=0.6,size=1) # D is a binomial distribution with prob=0.6 and size=1. E=B+C # E is a binomial distribution with prob=0.5 and size=3. F=B+D # F is an object of class DiscreteDistribution.