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Encyclopedia > Harold Hotelling

Harold Hotelling (Fulda, Minnesota, September 29, 1895 - December 26, 1973) was a mathematical statistician. His name is known to all statisticians because of Hotelling's T-square distribution and its use in statistical hypothesis testing and confidence regions. He also introduced canonical correlation analysis, and is the eponym of Hotelling's law in economics. Fulda is a city located in Murray County, Minnesota. ... September 29 is the 272nd day of the year (273rd in leap years). ... 1895 was a common year starting on Tuesday (see link for calendar). ... December 26 is the 360th day of the year in the Gregorian Calendar, 361st in leap years. ... 1973 (MCMLXXIII) was a common year starting on Monday. ... In statistics, Hotellings T-square statistic, named for Harold Hotelling, is a generalization of Students t statistic that is used in multivariate hypothesis testing. ... In statistics, canonical correlation analysis, introduced by Harold Hotelling, is a way of making sense of cross-covariance matrices. ... Hotellings law is an observation in economics that in many markets it is rational for producers to make their products as similar as possible. ... U.S. Economic Calendar Economics at the Open Directory Project Economics textbooks on Wikibooks The Economists Economics A-Z Daily analysis of economics in the news (UK focus) Institutions and organizations Bureau of Labor Statistics - from the American Labor Department Center for Economic and Policy Research (USA) National Bureau...


He was a member of the faculty of Columbia University from 1931 until 1946, and a founding member of the first department of statistics in the United States at the University of North Carolina at Chapel Hill from 1946 until his death. A street in Chapel Hill bears his name. In 1972 he received the North Carolina Award for contributions to science. Columbia University is a private university in the Morningside Heights neighborhood of Manhattan, New York City. ... The University of North Carolina at Chapel Hill, located in Chapel Hill, North Carolina, is the eleventh-oldest institution of higher education (and arguably the oldest public institution) in the United States. ... City nickname: The Southern Part of Heaven County Orange County Mayor Kevin C. Foy Town Council Sally Greene Ed Harrison Cam Hill Mark Kleinschmidt Bill Strom Dorothy Verkirk Jim Ward Edith Wiggins (mayor pro tem) Area  - Total  - Water 51. ... The North Carolina Award is the highest civilian award bestowed by the U.S. state of North Carolina. ...


The historian Stephen Stigler has said that it was because of Hotelling's suggestion in a letter to Ronald Fisher that cumulants are known by their now-standard name. Sir Ronald Fisher Sir Ronald Aylmer Fisher, FRS (17 February 1890 – 29 July 1962) was a British eugenicist, evolutionary biologist, geneticist and statistician. ... // Cumulants of probability distributions In probability theory and statistics, the cumulants κn of the probability distribution of a random variable X are given by In other words, κn/n! is the nth coefficient in the power series representation of the logarithm of the moment-generating function. ...


Works

  • "A General Mathematical Theory of Depreciation", 1925, Journal of ASA.
  • "Differential Equations Subject to Error", 1927, Journal of ASA
  • "Applications of the Theory of Error to the Interpretation of Trends", with H. Working, 1929, Journal of ASA.
  • "Stability in Competition", 1929, EJ.
  • "The Economics of Exhaustible Resources", 1931, JPE.
  • "The Generalization of Student's Ratio", 1931, Annals of Mathematical Statistics.
  • "Edgeworth's Taxation Paradox and the Nature of Supply and Demand Functions", 1932, JPE.
  • "Analysis of a Complex of Statistical Variables with Principal Components",1933, Journal of Educational Psychology
  • "Demand Functions with Limited Budgets", 1935, Econometrica.
  • "The most predictable criterion", 1935, Journal of Educational Psychology
  • "Relation Between Two Sets of Variates", 1936, Biometrika.
  • "Rank Correlation and Tests of Significance Involving no Assumption of Normality", in "American Mathematical Statistics", 1936 (coauthor M. R. Pabst)
  • "The General Welfare in Relation to Problems of Taxation and of Railway and Utility Rates", 1938, Econometrica.
  • "A generalized T-Test and measure of multivariate dispersion", Proc. Second Berkley Symposium of Mathematical Statistics and Probability, 1951

Econometrica is a prestigious academic journal of economics, publishing articles in not only econometrics but in many areas of economics. ... Biometrika is a scientific journal established in 1901 by the British statistician Francis Galton and his protégé Karl Pearson concerning biometrics; statistical analysis of hereditary phenomena. ... 1936 (MCMXXXVI) was a leap year starting on Wednesday (link will take you to calendar). ... Econometrica is a prestigious academic journal of economics, publishing articles in not only econometrics but in many areas of economics. ... 1951 (MCMLI) was a common year starting on Monday; see its calendar. ...

External links

  • New School: Harold Hotelling
  • American Statistical Association: Harold Hotelling

These entries have photographs. There is another at

  • Harold Hotelling on the Portraits of Statisticians page.

For Hotelling's PhD students see

  • Harold Hotelling on the Mathematics Genealogy Project page.

  Results from FactBites:
 
Harold Hotelling (413 words)
Harold Hotelling's articles on econoimcs were few, but his contributions were profound enough to make him one of the "leaders" of the Paretian School, the "resurrectors" the Marginalist Revolution in the 1930s.
Hotelling's 1929 paper on the stability of competition introduced the notion of spatial competition in a duopoly situation.
Although appointed as a professor of economics at Columbia (oddly, one of the strongholds of the American Institutionalist school), one can argue that Harold Hotelling was a statistician first, economist second.
Harold Hotelling • The Coming Global Oil Crisis (1185 words)
Harold Hotelling was a Professor in the Department of Geology at Stanford University, and his article, "The Economics of Exhaustible Resources" (see below), is cited very frequently by those who are interested in sustainability.
The first two pages of the Hotelling paper which are posted give a glimpse only into his fears and concerns, but not for the "free market" problems of discounting for which the article is normally referenced.
The Harold Hotelling paper is often referenced because of its description of the "Free Market" mechanism by which our descendants are systematically deprived of any significant access to the finite natural resources which we currently have at our disposal.
  More results at FactBites »


 

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