scholarly journals Stability of Pareto-Zipf Law in Non-stationary Economies

2001 ◽  
pp. 141-159 ◽  
Author(s):  
Sorin Solomon ◽  
Peter Richmond
Keyword(s):  
Zipf Law

A bibliometric study of indexing and abstracting, 1876-1976

1989 ◽  
Vol 16 (4) ◽  
pp. 234-238
Author(s):  
Ming-yueh Tsay
Keyword(s):  
Bibliometric Study ◽  
Journal Literature ◽  
Active Life ◽  
The Subject ◽  
Lotka’S Law ◽  
Zipf Law ◽  
Journal Papers

In a bibliometric study of references to indexing and abstracting from 1876 to 1976 a total of 2,381 references in Wellisch’s Indexing and abstracting: an international bibliography were analysed by a PL/1 program. Most of the articles (67%) appeared as journal papers. The Bradford-Zipf law was applied to investigate the journal literature. Thirteen core journals were identified, six of which emphasize the subject of indexing and abstracting. Lotka’s law was used to measure the productivity of authors. The vast majority, 1,533 out of 1,966 authors, contributed only one article. The leading authors and their active life in this subject were also studied. English is the predominant language of articles on indexing and abstracting.

scholarly journals Moment analysis and Zipf law

2006 ◽  
Vol 30 (1) ◽  
pp. 227-242 ◽  
Author(s):  
Y. G. Ma
Keyword(s):  
Moment Analysis ◽  
Zipf Law

A growth model that generates an n-tuple Zipf law

2011 ◽  
Vol 390 (5) ◽  
pp. 792-800 ◽  
Author(s):  
Xiaocong Gan ◽  
Dahui Wang ◽  
Zhangang Han
Keyword(s):  
Growth Model ◽  
Zipf Law

A Growth Process for Zipf's and Yule's City-Size Laws

1979 ◽  
Vol 11 (4) ◽  
pp. 361-372 ◽  
Author(s):  
M F Dacey
Keyword(s):  
Growth Model ◽  
Urban Growth ◽  
Probabilistic Model ◽  
Growth Process ◽  
City Size ◽  
Birth Process ◽  
Urban Growth Model ◽  
The Law ◽  
Zipf Law

The Zipf rank–size law and the Yule probability law are both used to describe city populations. Though these laws are usually treated as identical, they describe city populations in different ways. These differences are first resolved, and the Zipf law is expressed in terms of the Yule law. Then urban growth is formulated by a probabilistic model as a pure birth process that generates city populations asymptotically obeying the Yule probability law. This model has similarities with the derivation by Yule of the law named after him and with the urban-growth model described in a well-known paper by Simon.

scholarly journals Does China’s Urban Development Satisfy Zipf’s Law? A Multiscale Perspective from the NPP-VIIRS Nighttime Light Data

2020 ◽  
Vol 17 (4) ◽  
pp. 1460 ◽  
Author(s):  
Yizhen Wu ◽  
Mingyue Jiang ◽  
Zhijian Chang ◽  
Yuanqing Li ◽  
Kaifang Shi
Keyword(s):  
Urban Development ◽  
Infrared Imaging ◽  
Multiple Scales ◽  
Decision Makers ◽  
Zipf’S Law ◽  
Zipf's Law ◽  
Nighttime Light Data ◽  
Nighttime Light ◽  
Zipf Law ◽  
The Ideal

Currently, whether the urban development in China satisfies Zipf’s law across different scales is still unclear. Thus, this study attempted to explore whether China’s urban development satisfies Zipf’s law across different scales from the National Polar-Orbiting Partnership’s Visible Infrared Imaging Radiometer Suite (NPP-VIIRS) nighttime light data. First, the NPP-VIIRS data were corrected. Then, based on the Zipf law model, the corrected NPP-VIIRS data were used to evaluate China’s urban development at multiple scales. The results showed that the corrected NPP-VIIRS data could effectively reflect the state of urban development in China. Additionally, the Zipf index (q) values, which could express the degree of urban development, decreased from 2012 to 2018 overall in all provinces, prefectures, and counties. Since the value of q was relatively close to 1 with an R2 value > 0.70, the development of the provinces and prefectures was close to the ideal Zipf’s law state. In all counties, q > 1 with an R2 value > 0.70, which showed that the primate county had a relatively stronger monopoly capacity. When the value of q < 1 with a continuous declination in the top 2000 counties, the top 250 prefectures, and the top 20 provinces in equilibrium, there was little difference in the scale of development at the multiscale level with an R2 > 0.90. The results enriched our understanding of urban development in terms of Zipf’s law and had valuable implications for relevant decision-makers and stakeholders.

scholarly journals A THEORETICAL APPROACH FOR PARETO–ZIPF LAW

2008 ◽  
Vol 19 (08) ◽  
pp. 1175-1181
Author(s):  
ÇAĞLAR TUNCAY
Keyword(s):  
Theoretical Approach ◽  
Analytical Approach ◽  
Multiplicative Noise ◽  
Zipf Law ◽  
Fragmentation Processes

We suggest an analytical approach for the Pareto–Zipf law, where we assume random multiplicative noise and fragmentation processes for the growth of the number of citizens of each city and the number of the cities, respectively.

Application of the Zipf law to text compression

2008 ◽  
Vol 2 (4) ◽  
pp. 477-483 ◽  
Author(s):  
M. P. Bakulina
Keyword(s):  
Text Compression ◽  
Zipf Law

Rank distributions of words in correlated symbolic systems and the Zipf law

2005 ◽  
Vol 72 (4) ◽  
Author(s):  
K. E. Kechedzhi ◽  
O. V. Usatenko ◽  
V. A. Yampol’skii
Keyword(s):  
Symbolic Systems ◽  
Zipf Law ◽  
Rank Distributions
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