Zipf,s Law
المؤلف:
Bogomolny, A.
المصدر:
"Benford,s Law and Zipf,s Law." https://www.cut-the-knot.org/do_you_know/zipfLaw.shtml.
الجزء والصفحة:
...
11-2-2021
1657
Zipf's Law
In the English language, the probability of encountering the 
th most common word is given roughly by 
for 
up to 1000 or so. The law breaks down for less frequent words, since the harmonic series diverges. Pierce's (1980, p. 87) statement that 
for 
is incorrect. Goetz states the law as follows: The frequency of a word is inversely proportional to its statistical rank 
such that
where 
is the number of different words.
REFERENCES:
Bogomolny, A. "Benford's Law and Zipf's Law." https://www.cut-the-knot.org/do_you_know/zipfLaw.shtml.
Goetz, P. "Phil Goetz's Complexity Dictionary." https://www.cs.buffalo.edu/~goetz/dict.html
Li, W. "Zipf's Law." https://linkage.rockefeller.edu/wli/zipf/.
Pierce, J. R. Introduction to Information Theory: Symbols, Signals, and Noise, 2nd rev. ed. New York: Dover, pp. 86-87 and 238-239, 1980.
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