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Download a pdf copy of this help file here |
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Download a pdf copy of this help file here |
Format: VoseTriangle(min, mode, max, U)
The Triangle distribution constructs a Triangle shape from the three input parameters. An example of the Triangle distribution is given below:
The Triangle distribution is used as a rough modeling tool where the range (a to c) and the most likely value within the range (b) can be estimated. It has no theoretical basis but derives its statistical properties from its geometry.
The Triangle distribution offers considerable flexibility in its shape, coupled with the intuitive nature of its defining parameters and speed of use. It has therefore achieved a great deal of popularity among risk analysts. However, a and c are the absolute minimum and maximum estimated values for the variable and it is generally a difficult task to make estimates of these values.
It should be noted that the Triangle shape will also usually overemphasise the tails of the distribution and under emphasise the shoulders in comparison with other, more natural, distributions. The PERT distribution takes the same parameters as the Triangle, but generally offers a more reasonable interpretation of the parameter values in modeling expert opinion.
The sum of two identical independent Uniform distributions is a symmetric Triangle distribution.
VoseTriangle generates values from this distribution or calculates a percentile.
VoseTriangleObject constructs a distribution object for this distribution. Professional and Industrial editions only.
VoseTriangleProb returns the probability density or cumulative distribution function for this distribution. Professional and Industrial editions only.
VoseTriangleProb10 returns the log10 of the probability density or cumulative distribution function. Professional and Industrial editions only.
