TTR Analysis, Observed vs. Reference Curve

[Jorge_Stolfi]

While experimenting with the type/token ratio in the VMS corpus, I compared the original curve with a smoothed ideal curve.

You are not allowed to view links. Register or Login to view. (which I believe is a consequence of  Zipf's law plus the fact that word counts must be integers) says that the number of distinct words (lexemes, word types) in a text of size N is proportional to sqrt(N).  Thus the type/token ratio should be approximately K/sqrt(N).  Is that what your "smoothed curve" is?

All the best,--stolfi