Berry-Esseen and Central Limit Theorems for Serial Rank Statistics via Graphs

Tatyana S. Turova

Centre for Mathematical Sciences
Mathematical Statistics
Lund Institute of Technology,
Lund University,

ISSN 1403-9338

We use the Stein method in combination with notions from graph theory to obtain Berry-Esseen and Central Limit theorems for generalized serial rank statistics.

Key words:
graphs, rank statistics, serial ranks