BinomialDistribution Class

Represents a discrete binomial distribution.

Definition

Namespace: Meta.Numerics.Statistics.Distributions
Assembly: Meta.Numerics (in Meta.Numerics.dll) Version: 4.2.0+6d77d64445f7d5d91b12e331399c4362ecb25333
C#
public sealed class BinomialDistribution : DiscreteDistribution
Inheritance
Object    UnivariateDistribution    DiscreteDistribution    BinomialDistribution

Remarks

The binomial distribution gives the probability of obtaining k successes in n independent Bernoulli trials in which the probability of success in each trial is p.

Therefore, for a single trial, the binomial distribution reduces to a Bernoulli distribution (BernoulliDistribution).

The test statistic for a sign test (SignTest(IReadOnlyCollectionDouble, Double)) is distributed according to the binomial distribution.

Constructors

BinomialDistribution Initializes a new binomial distribution.

Properties

ExcessKurtosis Gets the excess kurtosis of the distribution.
(Inherited from UnivariateDistribution)
Mean Gets the mean of the distribution.
(Overrides DiscreteDistributionMean)
Skewness Gets the skewness of the distribution.
(Overrides UnivariateDistributionSkewness)
StandardDeviation Gets the standard deviation of the distribution.
(Inherited from UnivariateDistribution)
Support Gets the interval over which the distribution is non-vanishing.
(Overrides DiscreteDistributionSupport)
Variance Gets the variance of the distribution.
(Overrides UnivariateDistributionVariance)

Methods

CentralMoment Gets a central moment of the distribution.
(Overrides DiscreteDistributionCentralMoment(Int32))
Cumulant Computes a cumulant of the distribution.
(Inherited from UnivariateDistribution)
EqualsDetermines whether the specified object is equal to the current object.
(Inherited from Object)
ExpectationValue Computes the expectation value of an artibrary function.
(Inherited from DiscreteDistribution)
GetHashCodeServes as the default hash function.
(Inherited from Object)
GetRandomValue Produces a random integer drawn from the distribution.
(Inherited from DiscreteDistribution)
GetTypeGets the Type of the current instance.
(Inherited from Object)
InverseLeftProbability Computes the value corresponding to the given percentile.
(Overrides DiscreteDistributionInverseLeftProbability(Double))
LeftExclusiveProbability Computes the probability of obtaining a value less than the given value.
(Overrides DiscreteDistributionLeftExclusiveProbability(Int32))
LeftInclusiveProbability Computes the probability of obtaining a value less than or equal to the given value.
(Inherited from DiscreteDistribution)
ProbabilityMass Returns the probability of the obtaining the given value.
(Overrides DiscreteDistributionProbabilityMass(Int32))
RawMoment Gets a raw moment of the distribution.
(Overrides DiscreteDistributionRawMoment(Int32))
RightExclusiveProbability Computes the probability of obtaining a value greater than the given value.
(Overrides DiscreteDistributionRightExclusiveProbability(Int32))
ToStringReturns a string that represents the current object.
(Inherited from Object)

See Also