RiskTriang

Description

RiskTriang(minimum,m.likely,maximum) specifies a triangular distribution defined by a minimum, a most likely value, and a maximum. It can be skewed in either direction, depending on the position of m.likely relative to minimum and maximum. This distribution is perhaps the most readily understandable distribution for basic risk models. Its possible drawback for real applications is that it allows no possible values outside the min-max range.

 

Examples

RiskTriang(100,200,300) returns a triangular distribution with minimum value 100, most likely value 200 and maximum value 300.

RiskTriang(A10/90,B10,500) specifies a triangular distribution with minimum value equal to the value in cell A10 divided by 90, most likely value taken from cell B10, and maximum value 500.

 

Guidelines

minimum      must be less than or equal to m.likely.

m.likely      must be less than or equal to maximum.

minimum      must be less than maximum.

Parameters

min      continuous boundary parameter      min < max *

m.likely      continuous mode parameter      min ≤ m.likely ≤ max

max      continuous boundary parameter

* min = max is supported but gives a degenerate distribution.

Domain

min ≤ x ≤ max      continuous

Density and Cumulative Distribution Functions

     

     

     

     

Mean

 

Variance

 

Skewness

where

 

Kurtosis

2.4

 

Mode

m.likely

 

Examples