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".

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 DiscreteDistribution.
Documentation reproduced from package distr, version 1.8, License: GPL (version 2 or later)

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