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Bruno De Finetti
Bruno de Finetti (13 June 1906 – 20 July 1985) was an Italian probabilist statistician and actuary, noted for the "operational subjective" conception of probability. The classic exposition of his distinctive theory is the 1937 , which discussed probability founded on the coherence of betting odds and the consequences of exchangeability. Life De Finetti was born in Innsbruck, Austria, and studied mathematics at Politecnico di Milano. He graduated in 1927, writing his thesis under the supervision of Giulio Vivanti. After graduation, he worked as an actuary and a statistician at ( National Institute of Statistics) in Rome and, from 1931, the Trieste insurance company Assicurazioni Generali. In 1936 he won a competition for Chair of Financial Mathematics and Statistics, but was not nominated due to a fascist law barring access to unmarried candidates; he was appointed as ordinary professor at the University of Trieste only in 1950. He published extensively (17 papers in 193 ...
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Innsbruck
Innsbruck (; ) is the capital of Tyrol (federal state), Tyrol and the List of cities and towns in Austria, fifth-largest city in Austria. On the Inn (river), River Inn, at its junction with the Wipptal, Wipp Valley, which provides access to the Brenner Pass to the south, it had a population of 132,493 in 2018. In the broad valley between high mountains, the so-called North Chain in the Karwendel Alps (Hafelekarspitze, ) to the north and Patscherkofel () and Serles () to the south, Innsbruck is an internationally renowned winter sports centre; it hosted the 1964 Winter Olympics, 1964 and 1976 Winter Olympics as well as the 1984 Winter Paralympics, 1984 and 1988 Winter Paralympics. It also hosted the first 2012 Winter Youth Olympics, Winter Youth Olympics in 2012 and is going to host the 2027 Winter Deaflympics. The name means "bridge over the Inn". History Antiquity The earliest traces suggest initial inhabitation in the early Stone Age. Surviving Ancient Rome, pre-Roman pla ...
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Statistician
A statistician is a person who works with Theory, theoretical or applied statistics. The profession exists in both the private sector, private and public sectors. It is common to combine statistical knowledge with expertise in other subjects, and statisticians may work as employees or as statistical consultants. Overview According to the United States Bureau of Labor Statistics, as of 2014, 26,970 jobs were classified as ''statistician'' in the United States. Of these people, approximately 30 percent worked for governments (federal, state, or local). As of October 2021, the median pay for statisticians in the United States was $92,270. Additionally, there is a substantial number of people who use statistics and data analysis in their work but have job titles other than ''statistician'', such as Actuary, actuaries, Applied mathematics, applied mathematicians, economists, data scientists, data analysts (predictive analytics), financial analysts, psychometricians, sociologists, ...
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Fascism
Fascism ( ) is a far-right, authoritarian, and ultranationalist political ideology and movement. It is characterized by a dictatorial leader, centralized autocracy, militarism, forcible suppression of opposition, belief in a natural social hierarchy, subordination of individual interests for the perceived interest of the nation or Race (human categorization), race, and strong regimentation of society and the economy. Opposed to communism, democracy, liberalism, Pluralism (political philosophy), pluralism, and socialism, fascism is at the far right of the traditional left–right spectrum.; ; ; ; ; ; ; ; ; ; ; ; ; Fascism rose to prominence in early-20th-century Europe. The first fascist movements Italian fascism, emerged in Italy during World War I, before Fascism in Europe, spreading to other European countries, most notably Nazi Germany, Germany. Fascism also had adherents outside of Europe. Fascists saw World War I as a revolution that brought massive changes to the nature ...
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Pareto Efficiency
In welfare economics, a Pareto improvement formalizes the idea of an outcome being "better in every possible way". A change is called a Pareto improvement if it leaves at least one person in society better off without leaving anyone else worse off than they were before. A situation is called Pareto efficient or Pareto optimal if all possible Pareto improvements have already been made; in other words, there are no longer any ways left to make one person better off without making some other person worse-off. In social choice theory, the same concept is sometimes called the unanimity principle, which says that if ''everyone'' in a society (strict inequality, non-strictly) prefers A to B, society as a whole also non-strictly prefers A to B. The Pareto frontier, Pareto front consists of all Pareto-efficient situations. In addition to the context of efficiency in ''allocation'', the concept of Pareto efficiency also arises in the context of productive efficiency, ''efficiency in prod ...
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Bernard Koopman
Bernard Osgood Koopman (January 19, 1900 – August 18, 1981) was a French-born American mathematician, known for his work in ergodic theory, the foundations of probability, statistical theory and operations research. Education and work After living in France and Italy, Koopman emigrated to the United States in 1915. Koopman was a student of George David Birkhoff and his initial work concentrated on dynamical systems and mathematical physics. In 1931/1932, Koopman and John von Neumann proposed a Hilbert space formulation of classical mechanics, known as the Koopman–von Neumann classical mechanics. During World War II, he joined the Anti-Submarine Warfare Operations Research Group (ASWORG, later ORG) in Washington, D.C., directed by Philip M. Morse, to work for the U.S. Navy. Philip M. Morse: ''In memoriam: Bernard Osgood Koopman, 1900–1981'', Operations Research, Vol. 30, No. 3 (May - Jun., 1982), pp. viii+417-427. Published by: Institute for Operations Research ...
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Harold Jeffreys
Sir Harold Jeffreys, FRS (22 April 1891 – 18 March 1989) was a British geophysicist who made significant contributions to mathematics and statistics. His book, ''Theory of Probability'', which was first published in 1939, played an important role in the revival of the objective Bayesian view of probability. Education Jeffreys was born in Fatfield, County Durham, England, the son of Robert Hal Jeffreys, headmaster of Fatfield Church School, and his wife, Elizabeth Mary Sharpe, a school teacher. He was educated at his father's school and at Rutherford Technical College, then studied at Armstrong College in Newcastle upon Tyne (at that time part of the University of Durham) and with the University of London External Programme.Cook, Alan ev.br>"Jeffreys, Sir Harold (1891–1989)" ''Oxford Dictionary of National Biography'', Oxford University Press, 2004; online edition, September 2004. Retrieved 1 January 2023. Jeffreys subsequently won a scholarship to study the Mathem ...
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Frank P
Frank, FRANK, or Franks may refer to: People * Frank (given name) * Frank (surname) * Franks (surname) * Franks, a Germanic people in late Roman times * Franks, a term in the Muslim world for Franks#Crusaders and other Western Europeans as "Franks", all western Europeans, particularly during the Crusades Currency * Liechtenstein franc or frank, the currency of Liechtenstein since 1920 * Swiss franc or frank, the currency of Switzerland since 1850 * Westphalian frank, currency of the Kingdom of Westphalia between 1808 and 1813 * The currencies of the German-speaking cantons of Switzerland (1803–1814): ** Appenzell frank ** Aargau frank ** Basel frank ** Berne frank ** Fribourg frank ** Glarus frank ** Graubünden frank ** Luzern frank ** Schaffhausen frank ** Schwyz frank ** Solothurn frank ** St. Gallen frank ** Thurgau frank ** Unterwalden frank ** Uri frank ** Zürich frank Places * Frank, Alberta, Canada, an urban community, formerly a village * Franks, Illinois, United Sta ...
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Trieste University
The University of Trieste (, or UniTS, Formerly Regia Università degli Studi or The Royal University of Studies) is a public research university in Trieste in the Friuli-Venezia Giulia region in northeast Italy. The university consists of 10 departments, has a wide and almost complete range of university courses and has about 15,000 students and 1,000 professors. It was founded in 1924. The historical international vocation of the University of Trieste is witnessed by its intense and high-level research activity: Trieste is the centre of many research facilities, with which the university is connected by cooperation agreements. Among them, there are the International School for Advanced Studies, the International Centre for Theoretical Physics, the National Institute of Oceanography, the International Centre for Genetic Engineering and Biotechnology, the Elettra Sincrotrone Trieste Facility, the Trieste sections of the Italian National Institute for Nuclear Physics (INFN) and ...
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Mathematical Analysis
Analysis is the branch of mathematics dealing with continuous functions, limit (mathematics), limits, and related theories, such as Derivative, differentiation, Integral, integration, measure (mathematics), measure, infinite sequences, series (mathematics), series, and analytic functions. These theories are usually studied in the context of Real number, real and Complex number, complex numbers and Function (mathematics), functions. Analysis evolved from calculus, which involves the elementary concepts and techniques of analysis. Analysis may be distinguished from geometry; however, it can be applied to any Space (mathematics), space of mathematical objects that has a definition of nearness (a topological space) or specific distances between objects (a metric space). History Ancient Mathematical analysis formally developed in the 17th century during the Scientific Revolution, but many of its ideas can be traced back to earlier mathematicians. Early results in analysis were ...
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Trieste
Trieste ( , ; ) is a city and seaport in northeastern Italy. It is the capital and largest city of the Regions of Italy#Autonomous regions with special statute, autonomous region of Friuli-Venezia Giulia, as well as of the Province of Trieste, regional decentralization entity of Trieste. Trieste is located at the head of the Gulf of Trieste, on a narrow strip of Italian territory lying between the Adriatic Sea and Slovenia; Slovenia lies close, at approximately east and southeast of the city, while Croatia is about to the south of the city. The city has a long coastline and is surrounded by grassland, forest, and karstic areas. As of 2025, it has a population of 198,668. Trieste belonged, as Triest, to the Habsburg monarchy from 1382 until 1918. In the 19th century, the monarchy was one of the Great Powers of Europe and Trieste was its most important seaport. As a prosperous trading hub in the Mediterranean region, Trieste grew to become the fourth largest city of the Aust ...
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National Institute Of Statistics (Italy)
The Italian National Institute of Statistics (; Istat) is the primary source of official statistics in Italy. The institute conducts a variety of activities, including the census of population, economic censuses, and numerous social, economic, and environmental surveys and analyses. Istat is the largest producer of statistical information in Italy and is actively involved in the European Statistical System, which is overseen by Eurostat. History The Italian National Institute of Statistics () was established by Legislative decree no. 1162 on 9 July, 1926, as the Central Institute of Statistics () in order to replace the General Statistics Division of the Ministry of Agriculture, Food Sovereignty and Forests (Italy), Ministry of Agriculture. Corrado Gini was established as the first director of the institute, under the authority of the head of state. The institute, with a staff of about 170 workers, was charged with publishing the data of the 6th general population census, gener ...
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Giulio Vivanti
Giulio Benedetto Isacco Vivanti (24 May 1859 – 19 November 1949) was an Italian mathematician. He was a mentor of Bruno de Finetti and he spent most of his academic career at the University of Pavia and University of Milan The University of Milan (; ), officially abbreviated as UNIMI, or colloquially referred to as La Statale ("the State niversity), is a public university, public research university in Milan, Italy. It is one of the largest universities in Eu .... See also * Vivanti–Pringsheim theorem References * 1859 births 1949 deaths Italian mathematicians University of Bologna alumni {{Italy-mathematician-stub ...
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