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Weibull Distribution

Parameters

- continuous shape parameter ()
- continuous scale parameter ()
- continuous location parameter ( yields the two-parameter Weibull distribution)

Domain

Three-Parameter Weibull Distribution

Probability Density Function

Cumulative Distribution Function

Two-Parameter Weibull Distribution

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("Weibull";Data;[Options]1)
Probability Density Function WeibullPdf(x,alpha,beta,[gamma]) =WeibullPdf(alpha;beta;[gamma])
=DistPdf("Weibull(alpha;beta;[gamma])";x)
Cumulative Distribution Function WeibullCdf(x,alpha,beta,[gamma]) =WeibullCdf(alpha;beta;[gamma])
=DistCdf("Weibull(alpha;beta;[gamma])";x)
Survival Function WeibullSurv(x,alpha,beta,[gamma]) =DistSurv("Weibull(alpha;beta;[gamma])";x)
Hazard Function WeibullHaz(x,alpha,beta,[gamma]) =WeibullHaz(alpha;beta;[gamma])
=DistHaz("Weibull(alpha;beta;[gamma])";x)
Cumulative Hazard Function WeibullCumHaz(x,alpha,beta,[gamma]) =DistCumHaz("Weibull(alpha;beta;[gamma])";x)
Inverse CDF (Quantile Function) WeibullInv(P,alpha,beta,[gamma]) =WeibullInv(alpha;beta;[gamma])
=DistInv("Weibull(alpha;beta;[gamma])";P)
Random Numbers WeibullRand(alpha,beta,[gamma]) =WeibullRand(alpha;beta;[gamma])
=DistRand("Weibull(alpha;beta;[gamma])")
Mode WeibullMode(alpha,beta,[gamma]) =DistMode("Weibull(alpha;beta;[gamma])")
Mean WeibullMean(alpha,beta,[gamma]) =WeibullMean(alpha;beta;[gamma])
=DistMean("Weibull(alpha;beta;[gamma])")
Variance WeibullVar(alpha,beta,[gamma]) =WeibullVar(alpha;beta;[gamma])
=DistVar("Weibull(alpha;beta;[gamma])")
Standard Deviation WeibullStdev(alpha,beta,[gamma]) =WeibullStdev(alpha;beta;[gamma])
=DistStdev("Weibull(alpha;beta;[gamma])")
Skewness WeibullSkew(alpha,beta,[gamma]) =DistSkew("Weibull(alpha;beta;[gamma])")
(Excess) Kurtosis WeibullKurt(alpha,beta,[gamma]) =DistKurt("Weibull(alpha;beta;[gamma])")

  1. The Options parameter is optional. Possible options: "gamma=value"  (example: "gamma=0")
  2. The gamma parameter is optional (the default value is 0).
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