Editing Range (statistics) (section)

==The range in other models==

Outside of the IID case with continuous random variables, other cases have explicit formulas. These cases are of marginal interest.

* non-IID continuous random variables.<ref name="tsimashenka" />
* Discrete variables supported on <math>\mathbb N</math>.<ref name="evans">{{Cite journal | last1 = Evans | first1 = D. L. | last2 = Leemis | first2 = L. M. | last3 = Drew | first3 = J. H. | title = The Distribution of Order Statistics for Discrete Random Variables with Applications to Bootstrapping | doi = 10.1287/ijoc.1040.0105 | journal = INFORMS Journal on Computing | volume = 18 | pages = 19–30 | year = 2006 }}</ref><ref>{{cite journal | author = Irving W. Burr | year = 1955 | title = Calculation of Exact Sampling Distribution of Ranges from a Discrete Population | journal = The Annals of Mathematical Statistics  | volume = 26 | issue = 3 | pages = 530–532 | jstor = 2236482 | doi=10.1214/aoms/1177728500| doi-access = free }}</ref> A key difficulty for discrete variables is that the range is discrete. This makes the derivation of the formula require [[combinatorics]].