Zipf-mandelbrot Law
The
Zipf-Mandelbrot law
(also known as the
Pareto
-Zipf law) is a
power-law
distribution
on
ranked data
, named after the
Harvard
linguistics
professor
George Kingsley Zipf
(
1902
-
1950
) who suggested
regularity
in texts, and the
mathematician
Benoit Mandelbrot
(born
November 20
,
1924
), who generalized it. The
distribution
of words ranked by their
frequency
in a
random
corpus
of
text
is generally a
power-law
distribution
, known as
Zipf's law
. If one plots the
frequency
rank of words contained in a large
corpus
of text data versus the number of occurrences or actual
frequencies
, one obtains a
power-law
distribution
, with
exponent
close to one (but see
Gelbukh
and
Sidoro
2001
).
External links
Z. K. Silagadze: Citations and the Zipf-Mandelbrot's law
NIST: Zipf's law
W. Li's References on Zipf's law
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