Erlang Distribution
المؤلف:
Evans, M.; Hastings, N.; and Peacock, B.
المصدر:
"Erlang Distribution." Ch. 12 in Statistical Distributions, 3rd ed. New York: Wiley
الجزء والصفحة:
...
5-4-2021
2102
Erlang Distribution
Given a Poisson distribution with a rate of change 
, the distribution function 
giving the waiting times until the 
th Poisson event is
for 
, where 
is a complete gamma function, and 
an incomplete gamma function. With 
explicitly an integer, this distribution is known as the Erlang distribution, and has probability function
 |
(3)
|
It is closely related to the gamma distribution, which is obtained by letting 
(not necessarily an integer) and defining 
. When 
, it simplifies to the exponential distribution.
Evans et al. (2000, p. 71) write the distribution using the variables 
and 
.
REFERENCES:
Evans, M.; Hastings, N.; and Peacock, B. "Erlang Distribution." Ch. 12 in Statistical Distributions, 3rd ed. New York: Wiley, pp. 71-73, 2000.
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