Binom-class {distr}R Documentation

Class "Binom"

Description

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 from the Class

Objects can be created by calls of the form Binom(prob, size). This object is a binomial distribution.

Slots

img:
Object of class "Naturals": The space of the image of this distribution has got dimension 1 and the name "Natural Space".
param:
Object of class "BinomParameter": the parameter of this distribution (prob, size), declared at its instantiation
r:
Object of class "function": generates random numbers (calls function rbinom)
d:
Object of class "function": density function (calls function dbinom)
p:
Object of class "function": cumulative function (calls function pbinom)
q:
Object of class "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:
Object of class "numeric": a (sorted) vector containing the support of the discrete density function
.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

Extends

Class "DiscreteDistribution", directly.
Class "UnivariateDistribution", by class "DiscreteDistribution".
Class "Distribution", by class "DiscreteDistribution".

Methods

+
signature(e1 = "Binom", e2 = "Binom"): For two binomial distributions with equal probabilities the exact convolution formula is implemented thereby improving the general numerical accuracy.
initialize
signature(.Object = "Binom"): initialize method
prob
signature(object = "Binom"): returns the slot prob of the parameter of the distribution
prob<-
signature(object = "Binom"): modifies the slot prob of the parameter of the distribution
size
signature(object = "Binom"): returns the slot size of the parameter of the distribution
size<-
signature(object = "Binom"): modifies the slot size of the parameter of the distribution

Author(s)

Thomas Stabla statho3@web.de,
Florian Camphausen fcampi@gmx.de,
Peter Ruckdeschel Peter.Ruckdeschel@itwm.fraunhofer.de,
Matthias Kohl Matthias.Kohl@stamats.de

See Also

BinomParameter-class DiscreteDistribution-class Naturals-class rbinom

Examples

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 LatticeDistribution.
G <- B + as(D,"DiscreteDistribution") ## DiscreteDistribution

[Package distr version 2.1.1 Index]