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Triangular Distribution

Parameters

(most likely value) - continuous mode parameter ()
, - continuous boundary parameters ( < )

Domain

Probability Density Function

Cumulative Distribution Function

Worksheet and VBA Functions

The following worksheet and VBA functions are available for this distribution:

Description
VBA Functions
Worksheet Functions
Distribution Fitting - =DistFit("Triangular";Data;[Options]1)
Probability Density Function TriangularPdf(x,m,a,b) =TriangularPdf(m;a;b)
=DistPdf("Triangular(m;a;b)";x)
Cumulative Distribution Function TriangularCdf(x,m,a,b) =TriangularCdf(m;a;b)
=DistCdf("Triangular(m;a;b)";x)
Survival Function TriangularSurv(x,m,a,b) =DistSurv("Triangular(m;a;b)";x)
Hazard Function TriangularHaz(x,m,a,b) =TriangularHaz(m;a;b)
=DistHaz("Triangular(m;a;b)";x)
Cumulative Hazard Function TriangularCumHaz(x,m,a,b) =DistCumHaz("Triangular(m;a;b)";x)
Inverse CDF (Quantile Function) TriangularInv(P,m,a,b) =TriangularInv(m;a;b)
=DistInv("Triangular(m;a;b)";P)
Random Numbers TriangularRand(m,a,b) =TriangularRand(m;a;b)
=DistRand("Triangular(m;a;b)")
Mode TriangularMode(m,a,b) =DistMode("Triangular(m;a;b)")
Mean TriangularMean(m,a,b) =TriangularMean(m;a;b)
=DistMean("Triangular(m;a;b)")
Variance TriangularVar(m,a,b) =TriangularVar(m;a;b)
=DistVar("Triangular(m;a;b)")
Standard Deviation TriangularStdev(m,a,b) =TriangularStdev(m;a;b)
=DistStdev("Triangular(m;a;b)")
Skewness TriangularSkew(m,a,b) =DistSkew("Triangular(m;a;b)")
(Excess) Kurtosis TriangularKurt(m,a,b) =DistKurt("Triangular(m;a;b)")

  1. The Options parameter is optional. Possible options:
    • "a=value"  (example: "a=0")
    • "b=value"  (example: "b=10")
    • "a=value1;b=value2"  (example: "a=2;b=8")
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