... (1975), have been put forward, all of which have Zipf's law as some special or limiting form. Unrelated to Zipf's law is the lognormal hypothesis, advanced for word fre- quency ... matrix 7 ) defines a uniform distribu- tion (all pi# equal), we immediately have that the expected neighborhood density for length rnl is identical for all targets Yt, while for length m~ > ... probabilities py. Consequently, by (5), for fixed length m, higher frequency words will have more neighbors than lower frequency words for non-uniformly dis- tributed transition probabilities....