WebCab Probability and Statistics for .NET v3.3 Demo

WeibullProbabilityDistribution Class

Within this class we consider the definition and use of the Weibull probability distribution.

For a list of all members of this type, see WeibullProbabilityDistribution Members.

System.Object
   WeibullProbabilityDistribution

public class WeibullProbabilityDistribution

Remarks

The Weibull distribution can be used within a wide range of applications and by selecting its parameters appropriately we are even able to simulate the properties of other standard distributions. One particular subject matter where the Weibull probability distribution plays a significant role is in the study of the reliability of precision engineering parts.

Functionality Offered

Standard Weibull Probability Distribution

For the Standard Weibull probability distribution within this class we offer the following functionality:

  1. Probability Density Function: ProbabilityDensity
  2. Cumulative Distribution Function: CumulativeDist
  3. Percent Point Function: PercentPoint
  4. Hazard Function: Hazard
  5. Cumulative Hazard Function: CumulHazard
  6. Survival Function: Survival
  7. Inverse Survival Function: InverseSurvival
  8. Mean: Mean
  9. Median: Median
  10. Mode: Mode
  11. Standard Deviation: StandardDeviation
  12. Coefficient of Variation: @link #coeffVariation}

General Weibull Probability Distribution

For the General Weibull probability distribution within this class we offer the following functionality:

  1. Probability Density Function: ProbabilityDensityGen
  2. Cumulative Distribution Function: CumulativeDistGen
  3. Percent Point Function: PercentPointGen
  4. Hazard Function: HazardGen
  5. Cumulative Hazard Function: CumulHazardGen
  6. Survival Function: SurvivalGen
  7. Inverse Survival Function: InverseSurvivalGen

General and Standard Weibull Distribution

The Standard Weibull distribution is just the General Weibull distribution with the location set to 0, and the scale parameter set to 1. In the following methods we offer the evaluation of the above list statistics for both the Standard and the General Weibull distribution.

Requirements

Namespace: WebCab.Libraries.Statistics.PDistributions

Assembly: WebCab.Libraries.StatisticsDemo (in WebCab.Libraries.StatisticsDemo.dll)

See Also

WeibullProbabilityDistribution Members | WebCab.Libraries.Statistics.PDistributions Namespace