Distribution Fitting Software & Articles

Erlang Distribution

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The Erlang distribution is a special case of the Gamma distribution where the shape parameter is a positive integer. The two-parameter version of this distribution is more commonly used in practice.


- shape parameter (positive integer)
- scale parameter ()
- location parameter ( yields the two-parameter Erlang distribution)


Probability Density Function (PDF)

Erlang distribution PDF

Erlang Distribution Fitting

EasyFit allows to automatically or manually fit the Erlang distribution and 55 additional distributions to your data, compare the results, and select the best fitting model using the goodness of fit tests and interactive graphs. Watch the short video about EasyFit and get your free trial.

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Erlang Distribution Graphs and Properties

EasyFit displays all graphs and properties of the Erlang distribution, presenting the results in an easy to read & understand manner. EasyFit calculates statistical moments (mean, variance etc.), quantiles, tail probabilities depending on the distribution parameters you specify.

Random Numbers from the Erlang Distribution

You can easily generate random numbers from the Erlang distribution in a variety of ways:

  • directly from EasyFit
  • in Excel sheets using the worksheet functions provided by EasyFitXL
  • in your VBA applications using the EasyFitXL library

Excel Worksheet and VBA Functions

EasyFitXL enables you to use the following functions in your Excel sheets and VBA applications:

Function Name
ErlangPdf Probability Density Function
ErlangCdf Cumulative Distribution Function
ErlangHaz Hazard Function
ErlangInv Inverse CDF (Quantile Function)
ErlangRand Random Numbers
ErlangMean Mean
ErlangVar Variance
ErlangStdev Standard Deviation

Learn more: EasyFit Help on the Erlang distribution