Results 41 to 50 of about 1,710 (144)
Zipf's Law, Hierarchical Structure, and Cards-Shuffling Model for Urban Development
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
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Can Zipf's law be adapted to normalize microarrays?
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
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Scaling in words on Twitter [PDF]
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
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Further Analysis of the Zipf's Law: Does the Rank-Size Rule Really Exist?
: 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
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Investigating the Statistical Distribution of Learning Coverage in MOOCs
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
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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
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
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A Comparative Analysis of Gibrat’s and Zipf’s Law on Urban Population [PDF]
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
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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
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Deviations from Zipf’s Law for American Cities
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
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