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# Rayleigh Distribution

## Parameters

- continuous scale parameter ()
- continuous location parameter ( yields the one-parameter Rayleigh distribution)

## Worksheet and VBA Functions

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

 Description VBA Functions Worksheet Functions Distribution Fitting - ``` =DistFit("Rayleigh";Data;[Options]```1```) ``` Probability Density Function `RayleighPdf(x,sigma,[gamma])` ``` =RayleighPdf(sigma;[gamma]) =DistPdf("Rayleigh(sigma;[gamma])";x) ``` Cumulative Distribution Function `RayleighCdf(x,sigma,[gamma])` ``` =RayleighCdf(sigma;[gamma]) =DistCdf("Rayleigh(sigma;[gamma])";x) ``` Survival Function `RayleighSurv(x,sigma,[gamma])` ``` =DistSurv("Rayleigh(sigma;[gamma])";x) ``` Hazard Function `RayleighHaz(x,sigma,[gamma])` ``` =RayleighHaz(sigma;[gamma]) =DistHaz("Rayleigh(sigma;[gamma])";x) ``` Cumulative Hazard Function `RayleighCumHaz(x,sigma,[gamma])` ``` =DistCumHaz("Rayleigh(sigma;[gamma])";x) ``` Inverse CDF (Quantile Function) `RayleighInv(P,sigma,[gamma])` ``` =RayleighInv(sigma;[gamma]) =DistInv("Rayleigh(sigma;[gamma])";P) ``` Random Numbers `RayleighRand(sigma,[gamma])` ``` =RayleighRand(sigma;[gamma]) =DistRand("Rayleigh(sigma;[gamma])") ``` Mode `RayleighMode(sigma,[gamma])` ``` =DistMode("Rayleigh(sigma;[gamma])") ``` Mean `RayleighMean(sigma,[gamma])` ``` =RayleighMean(sigma;[gamma]) =DistMean("Rayleigh(sigma;[gamma])") ``` Variance `RayleighVar(sigma,[gamma])` ``` =RayleighVar(sigma;[gamma]) =DistVar("Rayleigh(sigma;[gamma])") ``` Standard Deviation `RayleighStdev(sigma,[gamma])` ``` =RayleighStdev(sigma;[gamma]) =DistStdev("Rayleigh(sigma;[gamma])") ``` Skewness `RayleighSkew(sigma,[gamma])` ``` =DistSkew("Rayleigh(sigma;[gamma])") ``` (Excess) Kurtosis `RayleighKurt(sigma,[gamma])` ``` =DistKurt("Rayleigh(sigma;[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).