Beta Distribution Class
Represents the Beta distribution.
Definition
Namespace: Numerics.NET.Statistics.Distributions
Assembly: Numerics.NET (in Numerics.NET.dll) Version: 9.0.3
C#
Assembly: Numerics.NET (in Numerics.NET.dll) Version: 9.0.3
[SerializableAttribute]
public class BetaDistribution : ContinuousDistribution
- Inheritance
- Object → Distribution → ContinuousDistribution → BetaDistribution
- Derived
Remarks
Beta distributions have two shape parameters, usually called α and β.
Unlike most other distributions, location and scale parameters are not usually used to specify the general form of the Beta distribution. Instead, the lower and upper bounds of the definition interval are used. This interval defaults to [0, 1].
A beta distribution with both shape parameters equal to 1 reduces to a Uniform distribution. If α=1 and β = 2, or α = 2 and β = 1, the beta distribution reduces to the triangular distribution.
Constructors
Beta | Constructs the beta distribution from a numerical variable. |
Beta | Constructs a new BetaDistribution using the specified shape parameters. |
Beta | Constructs the beta distribution from a numerical variable. |
Beta | Constructs a new BetaDistribution using the specified shape parameters. |
Properties
Alpha | Gets the first shape parameter of this BetaDistribution. |
Beta | Gets the first shape parameter of this BetaDistribution. |
Capabilities |
Gets a value that indicates the capabilities of the distribution class.
(Inherited from Distribution) |
Entropy |
Gets the entropy of the distribution.
(Overrides Distribution.Entropy) |
Inter |
Returns the inter-quartile range of this distribution.
(Inherited from ContinuousDistribution) |
IsSymmetrical |
Gets whether the distribution is known to be symmetrical around the mean.
(Overrides ContinuousDistribution.IsSymmetrical) |
IsUnimodal |
Gets whether the distribution has one or more modes.
(Inherited from ContinuousDistribution) |
Kurtosis |
Gets the kurtosis of the distribution.
(Overrides Distribution.Kurtosis) |
Lower | Gets the lower bound of the interval on which this BetaDistribution is defined. |
Mean |
Gets the mean or expectation value of the distribution.
(Overrides Distribution.Mean) |
Median |
Gets the median of the distribution.
(Inherited from ContinuousDistribution) |
Mode |
Gets the mode of the distribution.
(Overrides ContinuousDistribution.Mode) |
Number |
Gets the number of modes of the distribution.
(Overrides ContinuousDistribution.NumberOfModes) |
Skewness |
Gets the skewness of the distribution.
(Overrides Distribution.Skewness) |
Standard |
Gets the standard deviation of the distribution.
(Inherited from Distribution) |
Statistic |
Gets the common symbol to describe a statistic
from the distribution.
(Inherited from Distribution) |
Support |
Gets the support of the distribution.
(Overrides ContinuousDistribution.Support) |
Upper | Gets the upper bound of the interval on which this BetaDistribution is defined. |
Variance |
Gets the variance of the distribution.
(Overrides Distribution.Variance) |
Methods
Cdf |
Evaluates the cumulative distribution function
(CDF) of this distribution for the specified value.
(Inherited from ContinuousDistribution) |
Distribution |
Evaluates the cumulative distribution function
(CDF) of this distribution for the specified value.
(Overrides ContinuousDistribution.DistributionFunction(Double)) |
Equals | Determines whether the specified object is equal to the current object. (Inherited from Object) |
Finalize | Allows an object to try to free resources and perform other cleanup operations before it is reclaimed by garbage collection. (Inherited from Object) |
Get |
Returns an array that contains all the modes of the distribution.
(Overrides ContinuousDistribution.GetAllModes()) |
Get |
Returns the expectation value of a function.
(Inherited from ContinuousDistribution) |
Get |
Returns the un-normalized expectation value of a function over the specified interval.
(Inherited from ContinuousDistribution) |
Get |
Gets a vector containing a histogram of the expected number of samples
for a given total number of samples.
(Inherited from ContinuousDistribution) |
Get |
Gets a vector containing a histogram of the expected number of samples
for a given total number of samples.
(Inherited from ContinuousDistribution) |
Get |
Gets a vector whose bins contain the expected number of samples
for a given total number of samples.
(Inherited from ContinuousDistribution) |
Get | Serves as the default hash function. (Inherited from Object) |
Get |
Returns a sequence of random samples from the distribution.
(Inherited from ContinuousDistribution) |
Get |
Returns a sequence of random samples from the distribution.
(Inherited from ContinuousDistribution) |
Get |
Returns a sequence of random samples of the specified length from the distribution.
(Inherited from ContinuousDistribution) |
Get | Gets the Type of the current instance. (Inherited from Object) |
Hazard |
Returns the probability of failure at the specified value.
(Inherited from ContinuousDistribution) |
Inverse |
Returns the inverse of the DistributionFunction(Double).
(Inherited from ContinuousDistribution) |
Inverse |
Returns the inverse of the DistributionFunction(Double).
(Overrides ContinuousDistribution.InverseDistributionFunction(Double)) |
Left |
Returns the probability that a sample from the distribution
is less than the specified value.
(Inherited from ContinuousDistribution) |
Log |
Returns the logarithm of the probability density function
(PDF) of this distribution for the specified value.
(Overrides ContinuousDistribution.LogProbabilityDensityFunction(Double)) |
Memberwise | Creates a shallow copy of the current Object. (Inherited from Object) |
Moment |
Returns the value of the moment function of the specified order.
(Overrides ContinuousDistribution.MomentFunction(Int32, Double)) |
Returns the value of the probability density function
(PDF) of this distribution for the specified value.
(Inherited from ContinuousDistribution) | |
Probability |
Returns the probability that a sample taken from the
distribution lies inside the specified interval.
(Inherited from ContinuousDistribution) |
Probability |
Returns the value of the probability density function
(PDF) of this distribution for the specified value.
(Overrides ContinuousDistribution.ProbabilityDensityFunction(Double)) |
Right |
Returns the probability that a sample from the distribution
is larger than the specified value.
(Inherited from ContinuousDistribution) |
Sample() |
Returns a random sample from the distribution.
(Inherited from ContinuousDistribution) |
Sample( |
Returns a vector of random samples from the distribution.
(Inherited from ContinuousDistribution) |
Sample( |
Returns a random sample from the distribution.
(Overrides ContinuousDistribution.Sample(Random)) |
Sample( |
Returns a vector of random samples from the distribution.
(Inherited from ContinuousDistribution) |
Sample( | Returns a single random sample from a beta distribution with the specified parameters. |
Sample |
Fills a list with random numbers from the distribution.
(Inherited from ContinuousDistribution) |
Sample |
Fills a list with random numbers from the distribution.
(Inherited from ContinuousDistribution) |
Sample |
Fills a span with random numbers from the distribution.
(Inherited from ContinuousDistribution) |
Sample |
Fills part of a list with random numbers from the distribution.
(Inherited from ContinuousDistribution) |
Survivor |
Evaluates the survivor distribution function
(SDF) of this distribution for the specified value.
(Inherited from ContinuousDistribution) |
ToString | Returns a string that represents the current object. (Overrides Object.ToString()) |
Two |
Returns the probability that a sample from the distribution deviates from the mean more than
the specified value.
(Inherited from ContinuousDistribution) |