Creates a Weibull distribution object (Continuous Distribution).

The density pdf=[a*b*pow(x, b-1)*exp(-a*pow(x,b))], where a, b and x are positive values.

The Weibull distribution has been used successfully in reliability theory.

For b=1, the Weibull density reduces to the exponential density.

The string 'Key' resulting from a successful construction of this distribution object can be passed to the following functions in order to query (mean, std deviation and variance) or execute functions (probability function, cumulative density function etc...) based on this distribution object : CDistributionMean(), CDistributionVar(), CDistributionSTD(), CDistributionPDF(), CDistributionCDF(), CDistributionICDF() or CDistHazard(). In addition, the string 'Key' resulting from a successful construction of this distribution object will also allow you to construct a process generator object via a call to PGWeibullDistribution(). A process generator object allows you to generate large amounts of random numbers based on this distribution.

Even though PGWeibullDistribution() is the process generator object, the function RandomWeibull() is the actual function that obtains the random numbers given a count parameter and the process generator string 'key'.

This function creates an object and returns a string-key value to represent this created object.
The TAG value of the string-key returned (second part of the key) is : "Weibull"

String CTStatDistributions.WeibullDistribution( _
String Key, _
Long Reload, _
Double scale, _
Double shape)

=CT.STAT.WeibullDistribution(
Excel String Cell Key,
Excel Numeric Cell Reload,
Excel Numeric Cell scale,
Excel Numeric Cell shape)

static std::string WeibullDistribution(
std::string Key,
long Reload,
double scale,
double shape);

System.String CTStatDistributionsSA.WeibullDistribution(
System.String Key,
System.Int32 Reload,
System.Double scale,
System.Double shape);

The C# example below contains all the sub-function calls leading up to this function call. As a result, the example can contain a lot of code.

The VB.NET, J#, C++.NET, Java, Excel VBA, Visual Basic 6 (via COM) and C++ examples below contain function code stubs for the calls leading up to this function call. However, the function call for this function is displayed.
You can easily reproduce the stub functions code from the C# example.