Binomial distribution in VMS

[RobGea]

In this paper < Distinct word length frequencies: distributions and symbol entropies >  by Reginald Smith
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Smith says,

The literature on [..] Word length frequencies typically investigate the frequency of words of different lengths in syllables. 
These distributions are common amongst texts and are typically interpreted as a type of negative binomial distribution [..] or  [..] Hyper-Poisson { Displaced Poisson distribution }.

Further in  "Section 2. Distinct word length distributions."
Figure 1.  is a  "Graph of the frequency of distinct words by word length"  for various languages,

where English shows a distribution similar to that of English in Stolfis' Figure 2. [1]
and curiously the language graphs for ES, PT, IT, FR, DE, RU. ( to my eye at least ) show a visual similarity to a binomial distribution.
     .
[1]  Web archive link to Stolfi page "On the VMS Word Length Distribution"    because unicamp link is currently not accessible.
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