IStatistics.Weibull

Syntax

Weibull(Value: Double; Alpha: Double; Beta: Double; Cumulative: Boolean): Double;

Parameters

Value. The value for which the distribution is to be calculated. Value must satisfy the following constraint: Value >= 0.

Alpha. Distribution shape parameter. This value must satisfy the following constraint: Alpha > 0. If Alpha = 1, the Weibull function returns the exponential distribution:

Beta. Distribution scale parameter. This value must meet the following constraint: Beta > 0. If Beta = 1, the Weibull function returns the standard distribution.

Cumulative. defines function form:

True. The Weibull function returns integral distribution function.
False. The Weibull function returns the distribution density function.

Description

The Weibull method returns the Weibull distribution.

Comments

This distribution is used for reliability analysis, for example for calculating the mean prefailure life of a device.

Example

Sub Main;

Var

st: Statistics;

d0: Double;

Begin

st := New Statistics.Create;

d0 := st.Weibull(59,12,70,True);

If st.Status <> 0 Then

Debug.WriteLine(st.Errors);

Else

Debug.WriteLine("Weibull distribution: " + d0.ToString);

End If;

End Sub Main;

After you have executed this example the console window shows the Weibull distribution integral function:

Module execution started

Weibull distribution: 0.12062405063315529

Module execution finished