 Erlang distribution

ID: erlang-distribution

Codex  0 Created 2026-09-24 Updated 2026-09-28

The sum of

n

independent exponential variables of rate

r

f_{n} (x) = \frac{r ^{n} x ^{n - 1}}{( n - 1 )!} e^{- r x}, x > 0.

Convolving with one more exponential proves the formula inductively.

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