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Exponential Distribution

Parameters

- continuous inverse scale parameter ()
- continuous location parameter ( yields the one-parameter Exponential distribution)

Domain

Two-Parameter Exponential Distribution

Probability Density Function

Cumulative Distribution Function

One-Parameter Exponential 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("Exp";Data;[Options]1)
Probability Density Function ExpPdf(x,lambda,[gamma]) =ExpPdf(lambda;[gamma])
=DistPdf("Exp(lambda;[gamma])";x)
Cumulative Distribution Function ExpCdf(x,lambda,[gamma]) =ExpCdf(lambda;[gamma])
=DistCdf("Exp(lambda;[gamma])";x)
Survival Function ExpSurv(x,lambda,[gamma]) =DistSurv("Exp(lambda;[gamma])";x)
Hazard Function ExpHaz(x,lambda,[gamma]) =ExpHaz(lambda;[gamma])
=DistHaz("Exp(lambda;[gamma])";x)
Cumulative Hazard Function ExpCumHaz(x,lambda,[gamma]) =DistCumHaz("Exp(lambda;[gamma])";x)
Inverse CDF (Quantile Function) ExpInv(P,lambda,[gamma]) =ExpInv(lambda;[gamma])
=DistInv("Exp(lambda;[gamma])";P)
Random Numbers ExpRand(lambda,[gamma]) =ExpRand(lambda;[gamma])
=DistRand("Exp(lambda;[gamma])")
Mode ExpMode(lambda,[gamma]) =DistMode("Exp(lambda;[gamma])")
Mean ExpMean(lambda,[gamma]) =ExpMean(lambda;[gamma])
=DistMean("Exp(lambda;[gamma])")
Variance ExpVar(lambda,[gamma]) =ExpVar(lambda;[gamma])
=DistVar("Exp(lambda;[gamma])")
Standard Deviation ExpStdev(lambda,[gamma]) =ExpStdev(lambda;[gamma])
=DistStdev("Exp(lambda;[gamma])")
Skewness ExpSkew(lambda,[gamma]) =DistSkew("Exp(lambda;[gamma])")
(Excess) Kurtosis ExpKurt(lambda,[gamma]) =DistKurt("Exp(lambda;[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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