[Movie] This Famous Medieval Book May Be a Hoax
#44
(25-06-2025, 04:42 PM)bi3mw wrote: You are not allowed to view links. Register or Login to view.The binomial word length distribution of a text generated with Torsten`s SelfCitationTextgenerator ( 34,980 words, 198,497 characters , comparable to VMS ). The result is better than expected, at least the basic structure is recognizable.
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Sorry for the confusion. The terms "binomial distribution" indeed mean the distribution 
Prob(k) = choose(n,k) p^k (1-p)^(n-k)
which is the probability of getting k 'sucesses' in n 'tries', if the probability of each try succeeding is p. The plot indeed looks like the red dotted line above.  Note the long tail and the asymmetry: if the range of values is n, the peak is at about k = p n.

But what I meant in that webpage and that post is that the distribution of lengths of lexemes ("word types"?) looks like the the binomial coefficient function choose(k,n).  Which is the special case of the binomial distribution when p = 0.5.  A key feature of this function is its symmetry about the middle of the range n/2.  The VMS and East Asian monosyllabic languages have this property.  "European" languages do not.
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RE: This Famous Medieval Book May Be a Hoax - by Jorge_Stolfi - 26-06-2025, 07:21 AM

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