In computer science, an order statistic tree is a variant of the binary search tree (or more generally, a B-tree[1]) that supports two additional operations beyond insertion, lookup and deletion:
Select(i) – find the i-th smallest element stored in the tree
Rank(x) – find the rank of element x in the tree, i.e. its index in the sorted list of elements of the tree
Both operations can be performed in O(log n) worst case time when a self-balancing tree is used as the base data structure.
^"Counted B-Trees". 11 December 2004. Retrieved 18 January 2014.
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