RiskBetaSubj
|
Description |
RiskBetaSubj(minimum, m.likely, mean, maximum) specifies a beta distribution with a minimum and maximum value as specified. The shape parameters are calculated from the m.likely value and mean parameters. The BetaSubjective distribution is like a BetaGeneral distribution in the sense that the range of the underlying Beta distribution has been scaled. However, its parameterization allows it to be used in cases where it is desirable to use not only a minimum-most likely-maximum parameter set (as in the PERT distribution), but you want to use the mean of the distribution as one of the parameters.
|
|
Examples |
RiskBetaSubj(0,1,2,10) returns a beta distribution with a minimum of 0, a maximum of 10, a most likely value of 1, and a mean of 2. RiskBetaSubj(A1,A2,A3,A4) returns a beta distribution with its four parameters taken from cells A1, A2, A3, and A4.
|
|
Definitions |
|
|
Parameters |
min continuous boundary parameter min < max m.likely continuous parameter min < m.likely < max mean continuous parameter min < mean < max max continuous boundary parameter mean > mid if m.likely > mean
|
|
Domain |
|
|
Density and Cumulative Distribution Functions |
Here, B is the Beta Function and Bz is the Incomplete Beta Function.
|
|
Mean |
mean
|
|
Variance |
|
|
Skewness |
|
|
Kurtosis |
|
|
Mode |
m.likely |
|
Examples |
|
continuous
with 
