| 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.withArith:.withSim:.logExact:.lowerExact:
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
accuracy.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@itwm.fraunhofer.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 LatticeDistribution. G <- B + as(D,"DiscreteDistribution") ## DiscreteDistribution