RiskDoubleTriang
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Description
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RiskDoubleTriang(min,m.likely,max,p) specifies a double triangular distribution with minimum, most likely, and maximum values, along with the probability p of a value falling between min and m.likely. The double triangular distribution allows additional probability information to be specified as compared with the standard triangular distribution RiskTriang. Essentially, this distribution “splices” two triangular distributions, one from min to m.likely, the other from m.likely to max, and the parameter p is used to guarantee that the two parts of the distribution are normalized so that the total area under the density curve is 1.
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Examples
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RiskDoubleTriang(1,2,3,0.1) returns a double triangular distribution with a minimum possible value of 1, a most likely of 2, and a maximum of 3. The probability of a value in the range 1 to 2 is 0.1 or 10%. RiskDoubleTriang(A10,B10,500,0.4) returns a triangular distribution with a minimum value taken from cell A10, a most likely value taken from cell B10 and a maximum value of 500. The probability of a value in the range with a minimum from cell A10 and a maximum from cell B10 is 0.4.
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Guidelines |
None. |
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Parameters |
min continuous boundary parameter m.likely continuous mode parameter max continuous boundary parameter p probability of lower section 0 < p < 1
*min = max is supported but gives a degenerate distribution.
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Domain |
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Mass and Cumulative Distribution Functions |
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Mean |
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Variance |
Complicated |
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Skewness |
Complicated
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Kurtosis |
Complicated
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Mode |
m.likely |
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Examples |
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continuous
