RiskUniform

Description

RiskUniform(minimum,maximum) specifies a uniform distribution over the range from minimum to maximum. Every value in this range is equally likely. This distribution is sometimes called the “no knowledge” distribution, as in, “we have no idea what the uncertain value will be, except that it will be between 50 and 100 (for example). This makes it unrealistic in many real applications, where the relative likelihoods fall away on either side of some modal value. Nevertheless, the uniform distribution is important because it is used by random number algorithms to generate samples from other distributions.

 

Examples

RiskUniform(10,20) returns a uniform distribution with minimum 10 and maximum 20.

RiskUniform(A1+90,B1) returns a uniform distribution with minimum equal to the value in cell A1 plus 90, and maximum taken from cell B1.

 

Guidelines

minimum must be less than maximum.

Parameters

min      continuous boundary parameter      min < max *

max      continuous boundary parameter

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

Domain

     continuous

Density and Cumulative Distribution Functions

 

Mean

 

Variance

 

Skewness

0

 

Kurtosis

1.8

Mode

Not uniquely defined

 

Examples