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Erlang distribution
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)
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Area of mathematics
Probability and statistics
Probability theory
Probability distribution
Continuous probability distribution
Gamma distribution
Created
2026-09-24
Updated
2026-09-28
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The
sum
of
n
independent exponential variables of rate
r
has the
Erlang distribution
with
density
f
n
(
x
)
=
(
n
−
1
)!
r
n
x
n
−
1
e
−
r
x
,
x
>
0.
(1)
Convolving with one more exponential proves the
formula
inductively.
Ancestors
(8)
Gamma distribution
Continuous probability distribution
Probability distribution
Probability theory
Probability and statistics
Area of mathematics
Mathematics
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