The Lack-of-Preference Law and the Corresponding Distributions in Frequency Probability Theory
Matematičeskie zametki, Tome 80 (2006) no. 2, pp. 220-230
Voir la notice de l'article provenant de la source Math-Net.Ru
We obtain two new distributions in frequency probability theory and
demonstrate them, in particular, in the example of frequency dictionaries.
One of these distributions gives a logarithmic correction to the Zipf–Mandelbrot law,
and the other describes the “tails” of the distribution.
Keywords:
frequency probability, frequency dictionary, Zipf–Mandelbrot law, tail of distribution, Shannon entropy, Wiener process, Kolmogorov complexity.
@article{MZM_2006_80_2_a7,
author = {V. P. Maslov},
title = {The {Lack-of-Preference} {Law} and the {Corresponding} {Distributions} in {Frequency} {Probability} {Theory}},
journal = {Matemati\v{c}eskie zametki},
pages = {220--230},
publisher = {mathdoc},
volume = {80},
number = {2},
year = {2006},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MZM_2006_80_2_a7/}
}
TY - JOUR AU - V. P. Maslov TI - The Lack-of-Preference Law and the Corresponding Distributions in Frequency Probability Theory JO - Matematičeskie zametki PY - 2006 SP - 220 EP - 230 VL - 80 IS - 2 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/MZM_2006_80_2_a7/ LA - ru ID - MZM_2006_80_2_a7 ER -
V. P. Maslov. The Lack-of-Preference Law and the Corresponding Distributions in Frequency Probability Theory. Matematičeskie zametki, Tome 80 (2006) no. 2, pp. 220-230. http://geodesic.mathdoc.fr/item/MZM_2006_80_2_a7/