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# Weibull Distribution

## Parameters

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

## 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).