BernoulliDistribution Class

Members Example See Also

Represents the Bernoulli distribution.

Namespace: Extreme.Statistics.Distributions
Assembly: Extreme.Numerics.Net40 (in Extreme.Numerics.Net40.dll) Version: 4.2.11333.0 (4.2.12253.0)

Syntax

C#
[SerializableAttribute] public class BernoulliDistribution : DiscreteDistribution

Visual Basic (Declaration)
<SerializableAttribute> _ Public Class BernoulliDistribution _ Inherits DiscreteDistribution

Visual C++
[SerializableAttribute] public ref class BernoulliDistribution : public DiscreteDistribution

F#
[<SerializableAttribute>] type BernoulliDistribution = class inherit DiscreteDistribution end

Remarks

The Bernoulli distribution is a discrete probability distribution that has two possible outcomes: 0 (failure) and 1 (success). The distribution has one parameter: the probability probability of success.

The Bernoulli distribution is the simplest discrete probability distribution. It forms the basis for several other distributions, as shown in the following table.

Distribution	Definition
BinomialDistribution	The number of successes in n trials.
GeometricDistribution	The number of failures before the first success.
NegativeBinomialDistribution	The number of failures before the nth success.

Examples

The distribution of heads and tails in a coin toss is a Bernoulli distribution with probability = 0.5. Which of heads or tails corresponds to a successful outcome is arbitrary in this case.

Inheritance Hierarchy

System..::..Object
  Extreme.Statistics.Distributions..::..Distribution
    Extreme.Statistics.Distributions..::..DiscreteDistribution
      Extreme.Statistics.Distributions..::..BernoulliDistribution