Results 21 to 30 of about 1,710 (144)
Estimation of different entropies via Abel–Gontscharoff Green functions and Fink’s identity using Jensen type functionals [PDF]
Arab Journal of Mathematical Sciences, 2020 In this work, we estimated the different entropies like Shannon entropy, Rényi divergences, Csiszár divergence by using Jensen’s type functionals. The Zipf’s–Mandelbrot law and hybrid Zipf’s–Mandelbrot law are used to estimate the Shannon entropy.
Khuram Ali Khan +3 more
doaj +1 more source
Maximal diversity and Zipf’s law [PDF]
, 2021 Zipf’s law describes the empirical size distribution of the components of many systems in natural and social sciences and humanities. We show, by solving a statistical model, that Zipf’s law co-occurs with the maximization of the diversity of the ...
Corberi, F. +7 more
core +1 more source
Zipf's law holds for phrases, not words. [PDF]
Sci Rep, 2015 With Zipf’s law being originally and most famously observed for word frequency, it is surprisingly limited in its applicability to human language, holding over no more than three to four orders of magnitude before hitting a clear break in scaling.
Ryland Williams J +6 more
europepmc +2 more sources
Evolution of scaling emergence in large-scale spatial epidemic spreading. [PDF]
PLoS ONE, 2011 BACKGROUND: Zipf's law and Heaps' law are two representatives of the scaling concepts, which play a significant role in the study of complexity science.
Lin Wang +4 more
doaj +1 more source
Housing prices in China follow Zipf’s law [PDF]
PLoS ONEYalin He, Bailin Zheng, Yue Kai
doaj +2 more sources
Random texts do not exhibit the real Zipf's law-like rank distribution. [PDF]
PLoS ONE, 2010 Zipf's law states that the relationship between the frequency of a word in a text and its rank (the most frequent word has rank , the 2nd most frequent word has rank ,...) is approximately linear when plotted on a double logarithmic scale.
Ramon Ferrer-I-Cancho, Brita Elvevåg
doaj +1 more source
Brevity is not a universal in animal communication: evidence for compression depends on the unit of analysis in small ape vocalizations [PDF]
Royal Society Open Science, 2020 Evidence for compression, or minimization of code length, has been found across biological systems from genomes to human language and music. Two linguistic laws—Menzerath's Law (which states that longer sequences consist of shorter constituents) and Zipf'
Dena J. Clink +2 more
doaj +1 more source
Scientific Reports, 2022 Zipf’s law is a paradigm describing the importance of different elements in communication systems, especially in linguistics. Despite the complexity of the hierarchical structure of language, music has in some sense an even more complex structure, due to
Marc Serra-Peralta +2 more
doaj +1 more source
Journal of the Geological Survey of Brazil, 2019 Ore-forming processes act as self-organizing critical systems. These systems exist in an unbalanced nature, such that energy-release can occur as a scale-invariant power-law behavior when a certain threshold is exceeded.
Iago Sousa Lima Costa +2 more
doaj +1 more source
The evolution of the exponent of Zipf's law in language ontogeny. [PDF]
PLoS ONE, 2013 It is well-known that word frequencies arrange themselves according to Zipf's law. However, little is known about the dependency of the parameters of the law and the complexity of a communication system.
Jaume Baixeries +2 more
doaj +1 more source