# Binom-class

0th

Percentile

##### Class "Binom"

The binomial distribution with size $= n$, by default $=1$, and prob $= p$, by default $=0.5$, has density $$p(x) = {n \choose x} {p}^{x} {(1-p)}^{n-x}$$ for $x = 0, \ldots, n$. C.f.rbinom

Keywords
distribution
##### Objects from the Class

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

##### Extends

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

##### concept

• discrete distribution
• lattice distribution
• Binomial family
• Binomial distribution
• S4 distribution class
• generating function

##### See Also

BinomParameter-class DiscreteDistribution-class Naturals-class rbinom

##### Aliases
• Binom-class
• Binom
• initialize,Binom-method
##### 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
Documentation reproduced from package distr, version 2.2.3, License: LGPL-3

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