Open main menu
Home
Random
Recent changes
Special pages
Community portal
Preferences
About Wikipedia
Disclaimers
Incubator escapee wiki
Search
User menu
Talk
Dark mode
Contributions
Create account
Log in
Editing
Erlang distribution
(section)
Warning:
You are not logged in. Your IP address will be publicly visible if you make any edits. If you
log in
or
create an account
, your edits will be attributed to your username, along with other benefits.
Anti-spam check. Do
not
fill this in!
===Median=== An asymptotic expansion is known for the median of an Erlang distribution,<ref>{{Cite journal | last1 = Choi | first1 = K. P. | doi = 10.1090/S0002-9939-1994-1195477-8 | title = On the medians of gamma distributions and an equation of Ramanujan | journal = Proceedings of the American Mathematical Society | volume = 121 | pages = 245–251 | year = 1994 | issue = 1 | jstor = 2160389| doi-access = }}</ref> for which coefficients can be computed and bounds are known.<ref>{{Cite journal | last1 = Adell | first1 = J. A. | last2 = Jodrá | first2 = P. | doi = 10.1090/S0002-9947-07-04411-X | title = On a Ramanujan equation connected with the median of the gamma distribution | journal = Transactions of the American Mathematical Society | volume = 360 | issue = 7 | pages = 3631 | year = 2010 | doi-access = free }}</ref><ref>{{Cite journal | last1 = Jodrá | first1 = P. | title = Computing the Asymptotic Expansion of the Median of the Erlang Distribution | doi = 10.3846/13926292.2012.664571 | journal = Mathematical Modelling and Analysis | volume = 17 | issue = 2 | pages = 281–292 | year = 2012 | doi-access = free }}</ref> An approximation is <math>\frac{k}{\lambda}\left(1-\dfrac{1}{3k+0.2}\right),</math> i.e. below the mean <math>\frac{k}{\lambda}.</math><ref name=Banneheka2009>{{cite journal | last1 = Banneheka | first1 = BMSG | last2 = Ekanayake | first2 = GEMUPD | year = 2009 | title = A new point estimator for the median of gamma distribution | journal = Viyodaya J Science | volume = 14 | pages = 95–103 }}</ref>
Edit summary
(Briefly describe your changes)
By publishing changes, you agree to the
Terms of Use
, and you irrevocably agree to release your contribution under the
CC BY-SA 4.0 License
and the
GFDL
. You agree that a hyperlink or URL is sufficient attribution under the Creative Commons license.
Cancel
Editing help
(opens in new window)