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The Zipf distribution also known as scale-free distribution or discrete Pareto distribution, is the particular case of Power Law distribution with support the strictly positive integers. It is a one-parameter distribution with a linear…

Applications · Statistics 2013-04-29 Marta Pérez-Casany , Aina Casellas

We studied how to obtain a distribution for the number of ancestors in species of sexual reproduction. Present models concentrate on the estimation of distributions repetitions of ancestors in genealogical trees. It has been shown that is…

Biological Physics · Physics 2019-09-12 M. Caruso , C. Jarne

When the probability of measuring a particular value of some quantity varies inversely as a power of that value, the quantity is said to follow a power law, also known variously as Zipf's law or the Pareto distribution. Power laws appear…

Statistical Mechanics · Physics 2019-09-23 M. E. J. Newman

We investigate the financial network in the Korean stock exchange (KSE) market, using both numerical simulations and scaling arguments. We estimate the cross-correlation on the stock price exchanges of all companies listed on the the Korean…

Physics and Society · Physics 2007-05-23 Seong-Min Yoon , Kyungsik Kim

Family history is usually seen as a significant factor insurance companies look at when applying for a life insurance policy. Where it is used, family history of cardiovascular diseases, death by cancer, or family history of high blood…

Applications · Statistics 2020-06-16 Olivier Cabrignac , Arthur Charpentier , Ewen Gallic

Background. The large-scale pattern of distribution of genes on the chromosomes in the known animal genomes is not well characterized. We hypothesized that individual genes will be distributed on chromosomes in a mathematically ordered…

Other Quantitative Biology · Quantitative Biology 2019-12-17 Abdullah A. Toor , Amir A. Toor MD

Power law distributions characterise several natural and social phenomena. The Zipf law for cities is one of those. The study views the question of whether that global regularity is independent of different spatial distributions of cities.…

Physics and Society · Physics 2021-06-09 Rolf Bergs

This study empirically re-examines fat tails in stock return distributions by applying statistical methods to an extensive dataset taken from the Korean stock market. The tails of the return distributions are shown to be much fatter in…

General Finance · Quantitative Finance 2019-06-26 Cheoljun Eom , Taisei Kaizoji , Enrico Scalas

In this paper we will look at the distribution with which passwords are chosen. Zipf's Law is commonly observed in lists of chosen words. Using password lists from four different on-line sources, we will investigate if Zipf's law is a good…

Cryptography and Security · Computer Science 2015-09-02 David Malone , Kevin Maher

We investigate course registration data of 18 semesters at a Korean University to portray the time evolution of students' positions in the network of fellow students. Apart from being a study of the social positions of students, the present…

Other Condensed Matter · Physics 2007-05-23 Petter Holme , Sung Min Park , Beom Jun Kim , Christofer R. Edling

Using an exhaustive list of Japanese bankruptcy in 1997, we discover a Zipf law for the distribution of total liabilities of bankrupted firms in high debt range. The life-time of these bankrupted firms has exponential distribution in…

Statistical Mechanics · Physics 2009-11-10 Yoshi Fujiwara

The quantitative description of cultural evolution is a challenging task. The most difficult part of the problem is probably to find the appropriate measurable quantities that can make more quantitative such evasive concepts as, for…

Physics and Society · Physics 2015-10-01 Paolo Barucca , Jacopo Rocchi , Enzo Marinari , Giorgio Parisi , Federico Ricci-Tersenghi

The power-law distribution is ubiquitous and its mechanism seems to be various. We find a general mechanism for the distribution. The distribution of a geometrically growing system can be approximated by a log - completely squared chi…

Statistical Mechanics · Physics 2024-06-19 Chol-Jun Kim

We report on the temporal changes in undergraduate-level physics programs at Korean universities from 1915 to 2023 by analyzing data on physics-related departments and their students using basic statistics and the scaling theory of…

Physics Education · Physics 2024-07-01 Gahyoun Gim , Sang Hoon Lee

Zipf's law of city-size distributions can be expressed by three types of mathematical models: one-parameter form, two-parameter form, and three-parameter form. The one-parameter and one of the two-parameter models are familiar to urban…

Physics and Society · Physics 2018-12-19 Yanguang Chen

We consider a simple theoretical model to investigate the impact of inheritances on the wealth distribution. Wealth is described as a finite resource, which remains constant over different generations and is divided equally among offspring.…

Physics and Society · Physics 2021-11-17 Pedro Patrício , Nuno A. M. Araújo

The time evolution of Earth with her cities, languages and countries is considered in terms of the multiplicative noise and the fragmentation- processes, where the related families, size distributions, lifetimes, bilinguals, etc. are…

Physics and Society · Physics 2009-11-13 Caglar Tuncay

Phylogenetic trees represent the evolutionary relationships between extant lineages, where extinct or non-sampled lineages are omitted. Extending the work of Stadler and collaborators, this paper focuses on the branch lengths in…

Populations and Evolution · Quantitative Biology 2025-10-16 Tobias Dieselhorst , Johannes Berg

We propose a novel approach to learn word embeddings based on an extended version of the distributional hypothesis. Our model derives word embedding vectors using the etymological composition of words, rather than the context in which they…

Computation and Language · Computer Science 2017-12-13 Seunghyun Yoon , Pablo Estrada , Kyomin Jung

In this paper we explore the possibility of using bibliographic databases for tracking the geographic origin of surnames. Surnames are used as a proxy to determine the ethnic, genetic or geographic origin of individuals in many fields such…

Digital Libraries · Computer Science 2015-03-20 Nicolas Robinson-Garcia , Ed Noyons , Rodrigo Costas