Represents the geometric distribution.
Namespace: Extreme.Statistics.Distributions
Assembly: Extreme.Numerics (Extreme.Numerics)
Syntax
| Visual Basic (Declaration) |
|---|
Public Class GeometricDistribution _ Inherits DiscreteDistribution |
| C# |
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public class GeometricDistribution : DiscreteDistribution |
| C++ |
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public ref class GeometricDistribution : public DiscreteDistribution |
Methods
| Icon | Type | Description |
|---|---|---|
| DistributionFunction(Int32) |
Evaluates the cumulative distribution function of the
distribution.
| |
| Equals(Object) | ||
| Finalize() | ||
| GetExpectedHistogram(Int32, Int32, Double) |
Gets a Histogram whose bins contain the expected number of samples
for a given total number of samples.
| |
| GetHashCode() | Serves as a hash function for a particular type. | |
| GetRandomVariate(Random, Double) |
Returns a single random variate from a geometric distribution
with the specified probability of success.
| |
| GetRandomVariate(Random) |
Returns a random sample from the distribution.
| |
| GetRandomVariates(Random, Int32[]()) |
Fills an Int32 array with random numbers.
| |
| GetRandomVariates(Random, Int32[](), Int32, Int32) |
Fills an Int32 array with random numbers from this DiscreteDistribution.
| |
| GetType() | Gets the Type of the current instance. | |
| MemberwiseClone() | Creates a shallow copy of the current Object. | |
| Probability(Int32) |
Evaluates the probability function of the distribution.
| |
| Probability(Int32, Int32) |
Gets the probability of obtaining a sample that falls
within the specified interval from the distribution.
| |
| ToString() |
Constructors
| Icon | Type | Description |
|---|---|---|
| GeometricDistributionNew(Double) |
Constructs a new GeometricDistribution with the specified
probability of success. The distribution uses the
default random number generator to generate samples.
|
Properties
| Icon | Type | Description |
|---|---|---|
| Kurtosis |
Gets the kurtosis of the distribution.
| |
| Mean |
Gets the mean or expectation value of the distribution.
| |
| ProbabilityOfSuccess |
Gets the probability that a trial is successful.
| |
| Skewness |
Gets the skewness of the distribution.
| |
| StandardDeviation |
Gets the standard deviation of the distribution.
| |
| Variance |
Gets the variance of the distribution.
|
Remarks
The geometric distribution
characterizes the probability of the number of trials
required to achieve the first success, each trial having
a probability probability of being successful.
The geometric distribution is the discrete form of the ExponentialDistribution.
Inheritance Hierarchy
System.Object
Extreme.Statistics.Distributions.Distribution
Extreme.Statistics.Distributions.DiscreteDistribution
Extreme.Statistics.Distributions.GeometricDistribution
Extreme.Statistics.Distributions.Distribution
Extreme.Statistics.Distributions.DiscreteDistribution
Extreme.Statistics.Distributions.GeometricDistribution