IStatistics.GammaDist

Syntax

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

Parameters

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

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

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

Cumulative. Boolean value that defines function form:

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

Description

The GammaDist method returns gamma-distribution.

Comments

Use this function to analyze variables with skewed distribution. Gamma-distribution is usually used in the theory of queues.

Example

To execute the example, add a link to the Stat system assembly.

Sub UserProc;
Var
    st: Statistics;
    d0: Double;
Begin
    st := New Statistics.Create;
    d0 := st.GammaDist(10.45, 7, 2, True);
    If st.Status <> 0 Then
        Debug.WriteLine(st.Errors);
    Else
        Debug.WriteLine("Gamma distribution: " + d0.ToString);
    End If;
End Sub UserProc;

Executing this example shows the gamma-distribution value in the console window:

Module execution started

Gamma-distribution: 0.27140087244101541

Module execution finished