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Probability distribution
Zipf's law (/zɪf/) is an empirical law stating that when a set of measured values is sorted in decreasing order, the value of the n-th entry is often approximately
Zipf's_law
Surname list
Zipf is a surname. Notable people with the surname include: Andy Zipf, American singer-songwriter George Kingsley Zipf (1902–1950), American linguist and
Zipf
American linguist (1902–1950)
George Kingsley Zipf (/ˈzɪf/ ZIF; January 7, 1902 – September 25, 1950) was an American linguist and philologist who studied statistical occurrences in
George_Kingsley_Zipf
Discrete probability distribution
probability theory and statistics, the Zipf–Mandelbrot law is a discrete probability distribution. Also known as the Pareto–Zipf law, it is a power-law distribution
Zipf–Mandelbrot_law
Austrian brewery
The Zipf Brewery (in German: Brauerei Zipf) is a brewery in the Upper Austrian municipality of Neukirchen an der Vöckla (Vöcklabruck District). It is named
Zipf_Brewery
Linguistics law
In linguistics, the brevity law (also called Zipf's law of abbreviation) is a linguistic law that qualitatively states that the more frequently a word
Brevity_law
Sub-camp of Mauthausen concentration camp (1943–1945)
The Redl-Zipf V-2 rocket facility (code name Schlier) located in central Austria between Vöcklabruck and Vöcklamarkt and established in September 1943
Redl-Zipf
German tennis player (born 1962)
Christoph Zipf (born 5 December 1962) is a former professional tennis player from Germany. A Munich-based right-hander, Zipf was the European Under 18s
Christoph_Zipf
Railway station in Upper Austria
Redl-Zipf railway station (German: Bahnhof Redl-Zipf) is a railway station near the village of Zipf, Upper Austria, Austria. It is located on the Western
Redl-Zipf_railway_station
American singer-songwriter
Andy Zipf (pronounced ZIFF) is a singer/songwriter from Indianapolis, Indiana, currently living in Greenville, South Carolina. He has shared the stage
Andy_Zipf
German triathlete (born 1986)
Jonathan Zipf (born 20 June 1986 in Herbolzheim-Broggingen) is a German professional triathlete and silver medalist of the 2005 Junior World Championships
Jonathan_Zipf
naturally occurring data. The ideal and robust soliton distributions. Zipf's law or the Zipf distribution. A discrete power-law distribution, the most famous
List of probability distributions
List_of_probability_distributions
Collaborative map database
doi:10.1080/14479338.2024.2345319. hdl:11250/3131589. Mocnik, Franz-Benjamin; Zipf, Alexander; Raifer, Martin (18 September 2017). "The OpenStreetMap folksonomy
OpenStreetMap
Suburb of Gold Coast, Queensland, Australia
mouth of the Logan River immediately inland of Little Rocky Point Cecil Zipf Park along the coast The land is predominantly used for growing sugarcane
Woongoolba,_Queensland
Tennis
not held in 1982. Aaron Krickstein won the tournament, beating Christoph Zipf in the final, 7–6, 6–3. At 16 years and 2 months old, Krickstein became the
1983_Tel_Aviv_Open_–_Singles
Idea that agents prefer to do what's easiest
fifty years later, this principle was studied by linguist George Kingsley Zipf who wrote Human Behaviour and the Principle of Least Effort: An Introduction
Principle_of_least_effort
Probability distribution in mathematics
positive integer k, it appears thus as the normalization of the Zipf distribution. The terms "Zipf distribution" and "zeta distribution" are often used interchangeably
Zeta_distribution
Statistical modeling methods
"rare events are common". It can be applied to problems in linguistics (see Zipf distribution), in various natural phenomena, in chemistry, in demography
Large_number_of_rare_events
French-American mathematician (1924–2010)
Extensions of the concept of randomness Skewness risk – Financial modeling term Zipf–Mandelbrot law – Discrete probability distribution In his autobiography,
Benoit_Mandelbrot
Statistical distribution
individuals. All are real-world observations that follow power laws, such as Zipf's law, the Yule distribution, or the Pareto distribution. If one ranks the
Rank–size_distribution
German tennis player
1984 Neunkirchen, West Germany Clay Eric Jelen Hans-Dieter Beutel Christoph Zipf 6–7, 5–7 Loss 2. Apr 1985 Marrakech, Morocco Clay Goran Prpić Sergio Casal
Ulf_Fischer
American psychological thriller miniseries
Sound Editing for a Limited or Anthology Series, Movie or Special Larry Zipf, Michael Feuser, Michael McMenomy, Lidia Tamplenizza, David Forshee, Bill
Ripley_(TV_series)
Word appearing only once in a text or record
far less commonly used. Hapax legomena are quite common, as predicted by Zipf's law, which states that the frequency of any word in a corpus is inversely
Hapax_legomenon
Power law growth of entropy of language or a stochastic process
possibly in addition to the term that is linear. It is closely related to Zipf's law and the neural scaling law for large language models. Hilberg's hypothesis
Hilberg's_hypothesis
Application of a function to each point in a data set
transformations. 2. A linguistic power function is distributed according to the Zipf-Mandelbrot law. The distribution is extremely spiky and leptokurtic, this
Data transformation (statistics)
Data_transformation_(statistics)
Zener Zeno effect – Zeno of Elea Zipf's law – George K. Zipf Zipf–Mandelbrot law (a.k.a. Pareto–Zipf law) – George K. Zipf and Benoît Mandelbrot (or Vilfredo
Scientific phenomena named after people
Scientific_phenomena_named_after_people
Probability distribution
year) The Pareto distribution is a continuous probability distribution. Zipf's law, also sometimes called the zeta distribution, is a discrete distribution
Pareto_distribution
2024 DC Studios miniseries
Sound Editing – Broadcast Long Form Dialogue and ADR Rich Bologna, Lawrence Zipf, Angela Organ, Tony Martinez, and Michael McMenomy (for "Cent'Anni") Nominated
The_Penguin_(TV_series)
Study of the quantitative aspects of information
mostly based on Lotka's law, named after Alfred J. Lotka, Zipf's law, named after George Kingsley Zipf, Bradford's law named after Samuel C. Bradford and on
Informetrics
Counterintuitive result in probability
greatly constrain the immense number of combinations at the alphabet level. Zipf's law states that the frequency of words is a power law function of its frequency
Infinite_monkey_theorem
Metric in ecology
extraordinary degree. The graphs obtained in this manner are typically fitted to a Zipf–Mandelbrot law, the exponent of which serves as an index of biodiversity
Relative abundance distribution
Relative_abundance_distribution
Data set of American English in 1961
variety of phenomena by George Kingsley Zipf (for example, see his The Psychobiology of Language), and is known as Zipf's law. Although the Brown Corpus pioneered
Brown_Corpus
Exercise by Nazi Germany to forge British bank notes
moved to Mauthausen-Gusen concentration camp in Austria, then to the Redl-Zipf series of tunnels and finally to Ebensee concentration camp. Because of an
Operation_Bernhard
How often each letter appears in written language
distribution and the word-initial letter distribution approximately match the Zipf distribution and even more closely match the Yule distribution. Often the
Letter_frequency
American physicist (1903–1986)
Illinois, U.S. Alma mater Princeton University (AB, MA, PhD) Spouse Carolyn Zipf (m. 1934) Children 2 Scientific career Fields Nuclear physics Institutions
John_J._Livingood
Subdiscipline of mathematical linguistics
linguistic laws proposed by various authors, the following can be highlighted: Zipf's law: The frequency of words is inversely proportional to their rank in frequency
Quantitative_linguistics
Person traveling on foot
Archived from the original on 8 January 2018. Retrieved 7 May 2018. Goetz, M.; Zipf, A. (2011). "Formal definition of a user-adaptive and length-optimal routing
Pedestrian
Statistical principle about ratio of effects to causes
Volume 1 Volume 2 Newman, MEJ (2005). "Power laws, Pareto Distributions, and Zipf's law" (PDF). Contemporary Physics. 46 (5): 323–351. arXiv:cond-mat/0412004
Pareto_principle
of basic concepts for the purpose of historical-comparative linguistics Zipf's law, a theory stating that the frequency of any word is inversely proportional
Most_common_words_in_English
investigation of the regularity later known as Zipf's law. M. Petruszewycz, 'L'histoire de la loi d'Estoup-Zipf: documents' Archived 2011-06-05 at the Wayback
Jean-Baptiste_Estoup
Economic principle
Gibrat's law. While the city size distribution is often associated with Zipf's law, this holds only in the upper tail. When considering the entire size
Gibrat's_law
Concept in sociology
A.; Huberman, Bernardo A. (2002). "Zipf's law and the Internet". Glottometrics. 3: 143–150. Adamic, Lada A. "Zipf, Power-law, Pareto - a ranking tutorial"
Popularity
Functional relationship between two quantities
cities (Gibrat's law) Bibliograms, and frequencies of words in a text (Zipf's law) 90–9–1 principle on wikis (also referred to as the 1% rule) Richardson's
Power_law
Christoph Zipf taking part in the Tel Aviv Open in Ramat HaSharon, 1983.
Israel Tennis & Education Centers
Israel_Tennis_&_Education_Centers
Alexander Brukhankov (RUS) 52:42 6 Laurent Vidal (FRA) 52:43 7 Jonathan Zipf (GER) 52:44 8 Joao Silva (POR) 52:52 9 Christian Prochnow (GER) 52:55 10
2011 ITU Sprint Distance Triathlon World Championships
2011_ITU_Sprint_Distance_Triathlon_World_Championships
Study of writing style
"Handling the Zipf distribution in computerized authorship attribution" Van Droogenbroeck, Frans J. (2019) "An essential rephrasing of the Zipf-Mandelbrot
Stylometry
Hypothesis that more people will lurk in a virtual community than will participate
Results indicated that the distribution frequency of the 1% rule fit followed Zipf's law, which is a specific type of power law. The "90–9–1" version of this
1%_rule
Theorized increase of longevity with age
demonstrated a relation to Zipf’s Law, and to socioeconomic inequality, arguing that "Lindy’s Law, Pareto’s Law and Zipf’s Law are in effect synonymous
Lindy_effect
Pattern of references in science journals
expressed and estimates derived. Zeta distribution Zipf's law, originally used for word frequencies Zipf–Mandelbrot law PageRank The Long Tail Black, Paul
Bradford's_law
Suburb of Gold Coast, Queensland, Australia
the first Lutheran church was established near the Lutheran cemetery on Zipfs Road. The area was known as Elkana (meaning "God has created and blessed")
Alberton,_Queensland
was eventually moved to the Redl-Zipf facility in central Austria, which used forced labor of the Schlier-Redl-Zipf subcamp of the Mauthausen-Gusen concentration
V-2 rocket facilities of World War II
V-2_rocket_facilities_of_World_War_II
Administrative divisions of New York City
3. ISBN 0-8135-3138-1. Joe Dorish. "10 Largest Parks in New York City". ZipfWorks, Inc. Archived from the original on April 6, 2016. Retrieved March 20
Boroughs_of_New_York_City
Peanuts comic strip character
and Schroeder to Explore Dysfunctional Relationships". January 22, 2019. Zipf, Catherine W (2019). "The Doctor Is IN: Gender, Space and Power in Lucy's
Lucy_Van_Pelt
Tennis tournament
Hooper M Purcell 6 6 6 H-D Beutel C Zipf 6 6 K Eberhard W Popp 4 7 2 J Frawley K Meiler 4 4 H-D Beutel C Zipf 6 2 1 K Eberhard W Popp 7 1 6
1982 Bavarian Tennis Championships – Doubles
1982_Bavarian_Tennis_Championships_–_Doubles
Heuristic for distinct words in a document
mild assumptions, the Herdan–Heaps law is asymptotically equivalent to Zipf's law concerning the frequencies of individual words within a text. This is
Heaps's_law
Rank of cities based on their population
relationship between rank and frequency is expressed with reference to Zipf's law. The law applied to cities states that "if cities are ranked in decreasing
Urban_hierarchy
Large baleen whale species
and multiple themes create a song. Humpback whale songs appear to follow Zipf's law, similar to human languages. The function of these songs has been debated
Humpback_whale
the recent paper by Chao and Shen (2004). The theory is linked to that of Zipf's law. The same approach is used in many other fields. For example, in ethology
Species_discovery_curve
Consensual or punitive unpaid labor
Max Kade German-American Research Institute Series, ISBN 0-271-02882-3. Zipf, Karin L. Labor of Innocents: Forced Apprenticeship in North Carolina, 1715–1919
Indentured_servitude
Application of Zipf's law to publications by field
named after Alfred J. Lotka, is one of a variety of special applications of Zipf's law. It describes the frequency of publication by authors in any given field
Lotka's_law
Protein-coding gene in the species Homo sapiens
1159/000019075. PMID 10072631. S2CID 25061446. Yang Z, Mendoza AR, Welch TR, Zipf WB, Yu CY (Apr 1999). "Modular variations of the human major histocompatibility
Complement_component_4B
Observation that in many real-life datasets, the leading digit is likely to be small
correlation between the first and second digits: ρ = 0.0561. Historic recurrence Zipf's law They should strictly be bars but are shown as lines for clarity. Berger
Benford's_law
Type of language change
Language, 92.433-67. [7] Zipf, George Kingsley (1935). The psycho-biology of language. Cambridge, Massachusetts: MIT Press. Zipf, George Kingsley (1949)
Drift_(linguistics)
15th-century codex in an unknown script
second-most-common word, and three times as often as the third-most-common, following Zipf's law. The mix of word lengths and the ratio of unique words to total words
Voynich_manuscript
US non-profit organization
interactive events, active rallies, and teachings. The Executive Director, Cindy Zipf, suggests that citizens should practice utilizing reusable items, recycling
Clean_Ocean_Action
Research center under Nazi Germany
underground facilities with dedicated liquid oxygen manufacturing at Lehesten and Zipf Thuringia For people being relocated from Peenemünde, the new organization
Peenemünde Army Research Center
Peenemünde_Army_Research_Center
Branch of applied mathematics
Zipf's law
Mathematical_linguistics
German long-range ballistic missile
oxygen for the V-2 was produced in factories in Wittring, Lehesten, Redl-Zipf, Oberraderach, and Peenemünde. The oxygen machines installed in Liège and
V-2_rocket
Columbia University in 1989. In 1992 Li published a short paper proving that Zipf's law holds for randomly generated sequences of symbols, when the distribution
Wentian_Li
Belgian mathematician (1921–1999)
Belevitch had an interest in languages and found a mathematical derivation of Zipf's law. He also published on machine languages. Another field of interest was
Vitold_Belevitch
American astrophysicist
includes proposing a statistical theory of human population which explains Zipf's law and proposing a novel test for panspermia in the galaxy. Lin is currently
Henry_Lin_(astronomer)
2008 single by Hercules and Love Affair
getting dropped at parties all weekend, even at the more mainstream events. Zipf, Jen (2009-01-13). Hercules & Love Affair Interview Prefix Magazine. Retrieved
Blind (Hercules and Love Affair song)
Blind_(Hercules_and_Love_Affair_song)
Indo-Aryan language
WordCorp), the y-intercept of Zipf's law is reported as 12.49, and the coefficient is 0.89 and these numbers show that Zipf's law is applicable for Marathi
Marathi_language
Type of prefix code
approximately a power law such as 1 / n 2 {\displaystyle 1/n^{2}} (more precisely, a Zipf distribution). For the Fibonacci code, the implicit distribution is approximately
Universal code (data compression)
Universal_code_(data_compression)
totals than with the opportunities in each location. This is in contrast to Zipf's Inverse distance law. There are links with Ravenstein's laws of migration
Theory of intervening opportunities
Theory_of_intervening_opportunities
Railway station in Upper Austria
station ÖBB Following station Frankenmarkt towards Freilassing R 2 Redl-Zipf towards Linz Hbf Preceding station Stern und Hafferl Verkehr Following station
Vöcklamarkt_railway_station
Pólya develops counting techniques for graphs as algebra. George K. Zipf proposes Zipf's law on probability distribution. January 2 – IG Farben are granted
1935_in_science
Feature of some statistical distributions
name for a long-known feature of some statistical distributions (such as Zipf, power laws, Pareto distributions and general Lévy distributions). In "long-tailed"
Long_tail
Online editor for OpenStreetMap
42.0". 10 August 2026. Retrieved 11 August 2026. Arsanjani, Jamal Jokar; Zipf, Alexander; Mooney, Peter; Helbich, Marco (3 March 2015). OpenStreetMap in
ID_(software)
Value of a communication network in terms of its connections
compared the observed generalized Metcalfe behavior for Bitcoin to the Zipf's Law and the theoretical Metcalfe result. The Metcalfe's Law is a critical
Metcalfe's_law
Probability distribution
Hypergeometric Negative Poisson binomial Rademacher Soliton Discrete uniform Zipf Zipf–Mandelbrot with infinite support Beta negative binomial Borel Conway–Maxwell–Poisson
Multivariate Laplace distribution
Multivariate_Laplace_distribution
Time-series clustering method
at time t could be "network" and "Zipf" (in descending order) while the most likely ones at time t+1 could be "Zipf" and "percolation" (in descending
Dynamic_topic_model
American furniture designer
Giles R. Hoyt. German Historical Institute. Last modified May 13, 2016. Zipf, Catherine W. Professional Pursuits: Women and the American Arts and Crafts
Gustav_Stickley
Eisenerz Enns Ennsdorf Floridsdorf Frankenburg am Hausruck (Schlier-Redl-Zipf) Graz Grein Großraming Gunskirchen Waldwerke I Sammellager Gusen complex
List of subcamps of Mauthausen
List_of_subcamps_of_Mauthausen
1981 tennis event results
Quarterfinals Semifinals Final 1 A Pattison B Walts 7 6 H-D Beutel C Zipf 6 3 1 A Pattison B Walts 6 6 5 R Gehring E Teltscher 6 6 R Gehring
1981 Bavarian Tennis Championships – Doubles
1981_Bavarian_Tennis_Championships_–_Doubles
2024 American television programming awards for creative arts
Limited or Anthology Series, Movie or Special Ripley: "III Sommerso" – Larry Zipf, Michael Feuser, Michael McMenomy, Lidia Tamplenizza, David Forshee, Bill
76th Primetime Creative Arts Emmy Awards
76th_Primetime_Creative_Arts_Emmy_Awards
Adages and sayings named after a person
after George Kingsley Zipf (1902–1950), whose statistical body of research led to the observation. More generally, the term Zipf's law refers to the probability
List_of_eponymous_laws
Special function in mathematics
fractals and dynamical systems. In applied statistics, it occurs in Zipf's law and the Zipf–Mandelbrot law. In particle physics, it occurs in a formula by
Hurwitz_zeta_function
Non-banks that provide services similar to banks
Fiaschi et al. used a statistical analysis based on the deviation from the Zipf distribution of the sizes of the world's largest financial entities to infer
Shadow_banking_system
Loudoun County. NARA. "Oscar M Zipf; United States Census, 1900". FamilySearch. George Kingsley Zipf's father, Oscar Zipf, was born to German immigrants
List_of_German_Americans
Digital collections of natural language data
Language Toolkit Parallel text Speech corpus Translation memory Treebank Zipf's law Yoon, H., & Hirvela, A. (2004). ESL Student Attitudes toward Corpus
Text_corpus
Information systems model about solution selection
December, 2007. pp. 273–278.{{cite conference}}: CS1 maint: location (link) Zipf, G.K. (1949). Human Behavior and the Principle of Least Effort. Reading MA
Lazy_user_model
Estimate of the importance of a word in a document
own explanation did not propose much theory, aside from a connection to Zipf's law. Attempts have been made to put idf on a probabilistic footing, by estimating
Tf–idf
British dictionary
and categorised in three frequency bands, based on the idea, derived from Zipf's law, that a relatively small number of high-frequency words account for
Macmillan English Dictionary for Advanced Learners
Macmillan_English_Dictionary_for_Advanced_Learners
Type of field-effect transistor
Approach. Tata McGraw-Hill. p. 688. ISBN 978-0-07-048292-0. Glesner, Manfred; Zipf, Peter; Renovell, Michel (2002). Field-programmable Logic and Applications:
MOSFET
Musical artist
"Roam if you want to with The B-52s in Cranford". myCentralJersey.com. Zipf, Jen. "Lollapalooza 2009: Sunday (Review)". Prefix Magazine. "Haizetara Festival:
Undertow_Brass_Band
Zhao (supervising sound editor); Blake Leyh, Skip Lievsay, Ye Liu, Lawrence Zipf (sound effects editors); Wei Ning (Foley editor); Xinghui Li (dialogue editor);
Golden_Reel_Award_for_Outstanding_Achievement_in_Sound_Editing_–_Sound_Effects,_Foley,_Dialogue_and_ADR_for_Foreign_Language_Feature_Film
Austrian playwright and novelist
Novel. Zsolnay, Wien 2007. Franzobels großer Fußballtest. Picus, Wien 2008. Zipf oder die dunkle Seite des Mondes. Verlag Bibliothek der Provinz, Weitra 2008
Franzobel
British non-profit organisation
ISSN 0008-7041. S2CID 1828882. Wikidata Q55967185. Neis, Pascal; Goetz, Marcus; Zipf, Alexander (November 22, 2012). "Towards Automatic Vandalism Detection in
OpenStreetMap_Foundation
Distribution format for Java code and resources
Exports packages outside of the java namespace (from org.w3c.dom). jdk.zipfs Provides the implementation for the ZIP file system provider, enabling access
Java_Platform_Module_System
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