Results 41 to 50 of about 1,710 (144)

Zipf's Law, Hierarchical Structure, and Cards-Shuffling Model for Urban Development

open access: yesDiscrete Dynamics in Nature and Society, 2012
Hierarchy of cities reflects the ubiquitous structure frequently observed in the natural world and social institutions. Where there is a hierarchy with cascade structure, there is a Zipf's rank-size distribution, and vice versa.
Yanguang Chen
doaj   +1 more source

Can Zipf's law be adapted to normalize microarrays?

open access: yesBMC Bioinformatics, 2005
Background Normalization is the process of removing non-biological sources of variation between array experiments. Recent investigations of data in gene expression databases for varying organisms and tissues have shown that the majority of expressed ...
Häsler Robert   +5 more
doaj   +1 more source

Scaling in words on Twitter [PDF]

open access: yesRoyal Society Open Science, 2019
Scaling properties of language are a useful tool for understanding generative processes in texts. We investigate the scaling relations in citywise Twitter corpora coming from the metropolitan and micropolitan statistical areas of the United States.
Eszter Bokányi   +2 more
doaj   +1 more source

Further Analysis of the Zipf's Law: Does the Rank-Size Rule Really Exist?

open access: yesJournal of Urban Management, 2012
: Zipf's law has two striking regularities: excellent fit and an exponent close to 1.0. When the exponent equals 1.0, Zipf's law collapses into the rank-size rule.
Fungisai Nota, Shunfeng Song
doaj   +1 more source

Investigating the Statistical Distribution of Learning Coverage in MOOCs

open access: yesInformation, 2017
Learners participating in Massive Open Online Courses (MOOC) have a wide range of backgrounds and motivations. Many MOOC learners enroll in the courses to take a brief look; only a few go through the entire content, and even fewer are able to eventually ...
Xiu Li   +5 more
doaj   +1 more source

Zipf’s law [PDF]

open access: yes, 2016
Zipf’s Law is an empirical law according to which the frequency of occurrence of a word in a corpus of naturally occurring utterances is inversely proportional to its rank in the list of all the words of the ...
Willems, Klaas
core  

Zipf’s law for all the natural cities around the world

open access: yes, 2015
Two fundamental issues surrounding research on Zipf’s law regarding city sizes are whether and why this law holds. This paper does not deal with the latter issue with respect to why, and instead investigates whether Zipf’s law holds in a global setting ...
Jiang, Bin,, Yin, Junjun,, Liu, Qingling
core   +1 more source

A Comparative Analysis of Gibrat’s and Zipf’s Law on Urban Population [PDF]

open access: yes, 2015
The regional economics and geography literature on urban population size has in recent years shown interesting conceptual and methodological contributions on the validity of Gibrat’s Law and Zipf’s Law.
Reggiani, Aura   +2 more
core   +1 more source

Estimation of Different Entropies via Taylor One Point and Taylor Two Points Interpolations Using Jensen Type Functionals

open access: yesInternational Journal of Analysis and Applications, 2019
In this work, we estimated the different entropies like Shannon entropy, Renyi divergences, Csiszar divergence by using the Jensen’s type functionals.
Tasadduq Niaz   +3 more
doaj   +2 more sources

Deviations from Zipf’s Law for American Cities

open access: yes, 2010
This paper presents a simple method for calculating deviations between actual city size and the size which would correspond to it with a Pareto exponent equal to one (Zipf’s law).
Rafael González-Val
core   +1 more source

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