Comments on: Benford’s law, Zipf’s law, and the Pareto distribution
https://terrytao.wordpress.com/2009/07/03/benfords-law-zipfs-law-and-the-pareto-distribution/
Updates on my research and expository papers, discussion of open problems, and other maths-related topics. By Terence TaoThu, 18 Mar 2021 19:37:00 +0000
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By: Cost-effectiveness distributions, power laws and scale invariance | Stijn Bruers, the rational ethicist
https://terrytao.wordpress.com/2009/07/03/benfords-law-zipfs-law-and-the-pareto-distribution/#comment-623756
Thu, 18 Mar 2021 19:37:00 +0000http://terrytao.wordpress.com/?p=2305#comment-623756[…] of a country. So we can consider the distribution of country population sizes. This distribution is close to a power law (with a few outliers, such as India), having estimated power parameter p = 0,9. Now we can consider […]
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By: Alex Fakos
https://terrytao.wordpress.com/2009/07/03/benfords-law-zipfs-law-and-the-pareto-distribution/#comment-616313
Fri, 08 Jan 2021 17:32:21 +0000http://terrytao.wordpress.com/?p=2305#comment-616313This is such a great post! Thank you for taking the time to make math accessible to the general public.
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By: Oded Kafri
https://terrytao.wordpress.com/2009/07/03/benfords-law-zipfs-law-and-the-pareto-distribution/#comment-514982
Mon, 15 Apr 2019 10:08:29 +0000http://terrytao.wordpress.com/?p=2305#comment-514982In reply to Robert Fernholz.

Benford law is an outcome of simple probability. There is nothing more to explore. Read for example “A Novel Approach to Probability”, Scientific Research Publishing-Advances in Pure Mathematics.2016, 6, 201-211 https://arxiv.org/pdf/1606.03696

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By: Robert Fernholz
https://terrytao.wordpress.com/2009/07/03/benfords-law-zipfs-law-and-the-pareto-distribution/#comment-514925
Sat, 13 Apr 2019 22:30:52 +0000http://terrytao.wordpress.com/?p=2305#comment-514925You can find a mathematical explanation for the universality of Zipf’s law here: https://arxiv.org/pdf/1707.04285.pdf
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By: lawyer
https://terrytao.wordpress.com/2009/07/03/benfords-law-zipfs-law-and-the-pareto-distribution/#comment-512353
Mon, 11 Feb 2019 10:07:02 +0000http://terrytao.wordpress.com/?p=2305#comment-512353i think still a lot of research is yet to be done on Benford’s Law
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By: When the Average is a Poor Metric for Measuring Application Performance | Loggly
https://terrytao.wordpress.com/2009/07/03/benfords-law-zipfs-law-and-the-pareto-distribution/#comment-481263
Fri, 26 May 2017 20:24:40 +0000http://terrytao.wordpress.com/?p=2305#comment-481263[…] Tao, Terence. “Benford’s Law, Zipf’s Law, and the Pareto Distribution.” 3 July 2009. […]
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By: Dynamics on emerging spaces: modeling the emergence of novelties | the morning paper
https://terrytao.wordpress.com/2009/07/03/benfords-law-zipfs-law-and-the-pareto-distribution/#comment-477491
Fri, 03 Feb 2017 06:00:10 +0000http://terrytao.wordpress.com/?p=2305#comment-477491[…] dataset should follow four conditions for the law to […]
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By: Zipf’s law, Power-law distributions in “The Anatomy of Melancholy”. Part I | Buridan's Ass
https://terrytao.wordpress.com/2009/07/03/benfords-law-zipfs-law-and-the-pareto-distribution/#comment-468775
Thu, 19 May 2016 07:29:40 +0000http://terrytao.wordpress.com/?p=2305#comment-468775[…] law and it’s sister laws: Benford’s law and the Pareto distribution. (Terry tao has a nice post describing all three and how they relate to each […]
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By: zawy (@loganspappy)
https://terrytao.wordpress.com/2009/07/03/benfords-law-zipfs-law-and-the-pareto-distribution/#comment-468734
Wed, 18 May 2016 13:22:48 +0000http://terrytao.wordpress.com/?p=2305#comment-468734Benford’s law also holds better for language than Madelbrot’s modification to Zipf’s law 1/(r+2.7). Use ~2.2 times Benford’s law, and divide both by ln(1.78*unique words in language).
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By: Наша статистика ок | minimumlikelihood
https://terrytao.wordpress.com/2009/07/03/benfords-law-zipfs-law-and-the-pareto-distribution/#comment-467773
Sun, 17 Apr 2016 00:15:13 +0000http://terrytao.wordpress.com/?p=2305#comment-467773[…] […]
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