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--- erlang_distribution [2023/02/27 15:28]
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-====== Erlang Distribution ======
-The Erlang distribution is a continuous probability distribution with wide applicability primarily due to its relation to the exponential and Gamma distributions. The Erlang distribution was developed by A. K. Erlang to examine the number of telephone calls which might be made at the same time to the operators of the switching stations. This work on telephone traffic engineering has been expanded to consider waiting times in queueing systems in general. The distribution is now used in the field of stochastic processes.
-When the shape parameter r equals 1, the distribution simplifies to the exponential distribution.
-The probability density function for the Erlang distribution is:
-f(x,a,r) = (x/a)^(r-1)//exp(-x/a)/(a//gamma(r))
-support 0 <= x <= Inf
-^Parameter^Description        ^Default value^
-|a        |The scale parameter|1.0          |
-|r        |The shape parameter|2.0          |

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