Represents a Weibull distribution.
Namespace:
Meta.Numerics.StatisticsAssembly: Meta.Numerics (in Meta.Numerics.dll) Version: 1.5.0.0 (1.5.0.0)
Syntax
| C# | Visual Basic | Visual C++ |
public class WeibullDistribution : Distribution, IParameterizedDistribution
Public Class WeibullDistribution _ Inherits Distribution _ Implements IParameterizedDistribution
public ref class WeibullDistribution : public Distribution, IParameterizedDistribution
Members
| All Members | Constructors  | Properties  | Methods |
 Public Protected | Instance Static  | Declared Inherited | XNA Framework Only  .NET Compact Framework Only  |
| Member | Description | |
|---|---|---|
| WeibullDistribution(Double, Double) |
Initializes a new Weibull distribution.
|
| Equals(Object) | (Inherited from Object.) |
| ExpectationValue(Function<(Of <(Double, Double>)>)) |
Computes the expectation value of the given function.
(Inherited from Distribution.) |
 | Finalize()()() |
Allows an Object to attempt to free resources and perform other cleanup operations before the Object is reclaimed by garbage collection.
(Inherited from Object.) |
| GetHashCode()()() |
Serves as a hash function for a particular type.
(Inherited from Object.) |
| GetRandomValue(Random) |
Returns a random value.
(Inherited from Distribution.) |
| GetType()()() |
Gets the Type of the current instance.
(Inherited from Object.) |
| InverseLeftProbability(Double) |
Returns the point at which the cumulative distribution function attains a given value.
(Overrides Distribution..::.InverseLeftProbability(Double).) |
| LeftProbability(Double) |
Returns the cumulative probability to the left of (below) the given point.
(Overrides Distribution..::.LeftProbability(Double).) |
| Mean |
Gets the mean of the distribution.
(Overrides Distribution..::.Mean.) |
| Median |
Gets the median of the distribution.
(Overrides Distribution..::.Median.) |
| MemberwiseClone()()() |
Creates a shallow copy of the current Object.
(Inherited from Object.) |
| Moment(Int32) |
Returns the given moment of the distribution.
(Overrides Distribution..::.Moment(Int32).) |
| MomentAboutMean(Int32) |
Returns the given moment of the distribution, about the mean.
(Overrides Distribution..::.MomentAboutMean(Int32).) |
| ProbabilityDensity(Double) |
Returns the probability density at the given point.
(Overrides Distribution..::.ProbabilityDensity(Double).) |
| RightProbability(Double) |
Return the cumulative probability to the right of (above) the given point.
(Overrides Distribution..::.RightProbability(Double).) |
| Skewness |
Ges the skewness of the distribution.
(Inherited from Distribution.) |
| StandardDeviation |
Gets the standard deviation of the distribution.
(Inherited from Distribution.) |
| Support |
Gets the interval over which the distribution is nonvanishing.
(Overrides Distribution..::.Support.) |
| ToString()()() | (Inherited from Object.) |
| Variance |
Gets the variance of the distribution.
(Inherited from Distribution.) |
Remarks
The Weibull distribution is a generalized form of the exponential distriubtion for which the decay probability is not constant, but instead increases with time (for shape parameters greater than one) or, less commonly, decreases with time (for shape parameters less than one). When the shape parameter is one, the Weibull distribution reduces to the exponential distribution.
The Weibull distribution is commonly used in engineering applications to model the time-to-failure of industrial componets.
Inheritance Hierarchy
System..::.Object
Meta.Numerics.Statistics..::.Distribution
Meta.Numerics.Statistics..::.WeibullDistribution
Meta.Numerics.Statistics..::.Distribution
Meta.Numerics.Statistics..::.WeibullDistribution
See Also
