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Jaroslav Hájek
Jaroslav Hájek (; 1926–1974) was a Czech people, Czech mathematician who worked in theoretical statistics, theoretical and nonparametric statistics, nonparametric statistics. The Hajek projection and Hájek–Le Cam convolution theorem are named after him (as well as collaborator Lucien Le Cam). Life Jaroslav Hájek studied statistical and insurance engineering at the Faculty of Special Sciences of the Czech Technical University in Prague, Czech Technical University in Prague and in 1950 he successfully completed this study by obtaining an engineering degree. In 1955 he received the title of CSc. for the paper Contributions to the theory of statistical estimation, the supervisor of this thesis was Josef Novák. In 1963, he received a D.Sc. in the same year he received his habilitation at the Faculty of Mathematics and Physics of Charles University, in 1966 he was entitled professor at this faculty. In 1973, he was awarded the Klement Gottwald State Prize for his work on the asym ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Jaroslav Hašek
Jaroslav Hašek (; 1883–1923) was a Czechs, Czech writer, Humorism, humorist, Satire, satirist, journalist, Bohemianism, bohemian, first anarchist and then communist, and commissar of the Red Army against the Czechoslovak Legion. He is best known for his novel ''The Good Soldier Švejk, The Fateful Adventures of the Good Soldier Švejk During the World War'', an unfinished novel about a soldier in World War I and a satire on the ineptitude of authority figures. The novel has been translated into about 60 languages, making it the most translated novel in Czech literature. Life Jaroslav Hašek's paternal ancestors were farmers rooted in Mydlovary in South Bohemian Region, South Bohemia. Hašek's grandfather from his father's side, František Hašek, was a member of the Czech Landtag and later also the so-called Imperial Diet (Austria), Kromeriz convention. He was also involved in Prague uprising (1848), barricade fights in Prague in 1848. According to some rumors, he worked wi ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Czech People
The Czechs (, ; singular Czech, masculine: ''Čech'' , singular feminine: ''Češka'' ), or the Czech people (), are a West Slavic ethnic group and a nation native to the Czech Republic in Central Europe, who share a common ancestry, culture, history, and the Czech language. Ethnic Czechs were called Bohemians in English until the early 20th century, referring to the former name of their country, Bohemia, which in turn was adapted from the late Iron Age tribe of Celtic Boii. During the Migration Period, West Slavic tribes settled in the area, "assimilated the remaining Celtic and Germanic populations", and formed a principality in the 9th century, which was initially part of Great Moravia, in form of Duchy of Bohemia and later Kingdom of Bohemia, the predecessors of the modern republic. The Czech diaspora is found in notable numbers in the United States, Germany, Canada, Slovakia, Austria, the United Kingdom, Argentina, Australia, Switzerland, France, Russia, Italy, Is ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Mathematician
A mathematician is someone who uses an extensive knowledge of mathematics in their work, typically to solve mathematical problems. Mathematicians are concerned with numbers, data, quantity, mathematical structure, structure, space, Mathematical model, models, and mathematics#Calculus and analysis, change. History One of the earliest known mathematicians was Thales of Miletus (); he has been hailed as the first true mathematician and the first known individual to whom a mathematical discovery has been attributed. He is credited with the first use of deductive reasoning applied to geometry, by deriving four corollaries to Thales's theorem. The number of known mathematicians grew when Pythagoras of Samos () established the Pythagorean school, whose doctrine it was that mathematics ruled the universe and whose motto was "All is number". It was the Pythagoreans who coined the term "mathematics", and with whom the study of mathematics for its own sake begins. The first woman math ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Theoretical Statistics
The theory of statistics provides a basis for the whole range of techniques, in both study design and data analysis, that are used within applications of statistics. The theory covers approaches to statistical-decision problems and to statistical inference, and the actions and deductions that satisfy the basic principles stated for these different approaches. Within a given approach, statistical theory gives ways of comparing statistical procedures; it can find the best possible procedure within a given context for given statistical problems, or can provide guidance on the choice between alternative procedures. Apart from philosophical considerations about how to make statistical inferences and decisions, much of statistical theory consists of mathematical statistics, and is closely linked to probability theory, to utility theory, and to optimization. Scope Statistical theory provides an underlying rationale and provides a consistent basis for the choice of methodology used in ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Nonparametric Statistics
Nonparametric statistics is a type of statistical analysis that makes minimal assumptions about the underlying distribution of the data being studied. Often these models are infinite-dimensional, rather than finite dimensional, as in parametric statistics. Nonparametric statistics can be used for descriptive statistics or statistical inference. Nonparametric tests are often used when the assumptions of parametric tests are evidently violated. Definitions The term "nonparametric statistics" has been defined imprecisely in the following two ways, among others: The first meaning of ''nonparametric'' involves techniques that do not rely on data belonging to any particular parametric family of probability distributions. These include, among others: * Methods which are ''distribution-free'', which do not rely on assumptions that the data are drawn from a given parametric family of probability distributions. * Statistics defined to be a function on a sample, without dependency on ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Hajek Projection
In statistics, Hájek projection of a random variable T on a set of independent random vectors X_1,\dots,X_n is a particular measurable function of X_1,\dots,X_n that, loosely speaking, captures the variation of T in an optimal way. It is named after the Czech statistician Jaroslav Hájek . Definition Given a random variable T and a set of independent random vectors X_1,\dots,X_n, the Hájek projection \hat of T onto \ is given by : \hat = \operatorname(T) + \sum_^n \left \operatorname(T\mid X_i) - \operatorname(T)\right= \sum_^n \operatorname(T\mid X_i) - (n-1)\operatorname(T) Properties * Hájek projection \hat is an L^2projection of T onto a linear subspace of all random variables of the form \sum_^n g_i(X_i), where g_i:\mathbb^d \to \mathbb are arbitrary measurable functions such that \operatorname(g_i^2(X_i))<\infty for all * and hence |
Hájek–Le Cam Convolution Theorem
In statistics, the Hájek–Le Cam convolution theorem states that any regular estimator in a parametric model is asymptotically equivalent to a sum of two independent random variables, one of which is normal with asymptotic variance equal to the inverse of Fisher information, and the other having arbitrary distribution. The obvious corollary from this theorem is that the "best" among regular estimators are those with the second component identically equal to zero. Such estimators are called efficient and are known to always exist for regular parametric models. The theorem is named after Jaroslav Hájek and Lucien Le Cam. Statement Let ℘ = be a regular parametric model, and ''q''(''θ''): Θ → ℝ''m'' be a parameter in this model (typically a parameter is just one of the components of vector ''θ''). Assume that function ''q'' is differentiable on Θ, with the ''m × k'' matrix of derivatives denoted as ''q̇θ''. Define : I_^ = \dot(\theta) ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Lucien Le Cam
Lucien Marie Le Cam (November 18, 1924 – April 25, 2000) was a mathematician and statistician. Biography Le Cam was born November 18, 1924, in Croze, France. His parents were farmers, and unable to afford higher education for him; his father died when he was 13. After graduating from a Catholic school in 1942, he began studying at a seminary in Limoges, but immediately quit upon learning that he would not be allowed to study chemistry there. Instead he continued his studies at a lycée, which did not teach chemistry but did teach mathematics. In May 1944 he joined an underground group, and then went into hiding, returning to his school the following November but soon afterwards moving to Paris, where he began studying at the University of Paris. He graduated in 1945 with the degree '' licence ès sciences''.. Le Cam then worked for a hydroelectric utility for five years, while meeting at the University of Paris for a weekly seminar in statistics. In 1950, he was invited to beco ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Czech Technical University In Prague
Czech Technical University in Prague (CTU) () is one of the largest universities in the Czech Republic with 8 faculties, and is one of the oldest institutes of technology in Central Europe. It is also the oldest non-military technical university in Europe. In the academic year 2020/21, Czech Technical University offered 130 degree programs in Czech and 84 in English. It was considered one of the top 10 universities in emerging Europe and Central Asia in the same year. History It was established as the Institute of Engineering Education in 1707, but as a secondary education (high school) instead of a tertiary university, by Emperor Joseph I as a response to Christian Josef Willenberg's petition addressed to preceding emperor Leopold I. In 1806, the institute of Engineering Education was transformed into Prague Polytechnical Institute (or Prague Polytechnic), i.e. a school independent of the University of Prague. This was a Europe-wide trend in the early 19th century, as p ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Czech Statisticians
Czech may refer to: * Anything from or related to the Czech Republic, a country in Europe ** Czech language ** Czechs, the people of the area ** Czech culture ** Czech cuisine * One of three mythical brothers, Lech, Czech, and Rus *Czech (surname) *Czech, Łódź Voivodeship, Poland *Czechville, Wisconsin, unincorporated community, United States See also * Čech, a surname * Czech lands * Czechoslovakia * List of Czechs * * * Check (other) * Czechoslovak (other) * Czech Republic (other) * Czechia (other) Czechia is the official short form name of the Czech Republic. Czechia may also refer to: * Historical Czech lands *Czechoslovakia (1918–1993) *Czech Socialist Republic (1969–1990) *Protectorate of Bohemia and Moravia (1939–1945) See also ... {{disambiguation Language and nationality disambiguation pages ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Czechoslovak Mathematicians
Czechoslovak may refer to: *A demonym or adjective pertaining to Czechoslovakia (1918–93) **First Czechoslovak Republic (1918–38) **Second Czechoslovak Republic (1938–39) **Third Czechoslovak Republic (1948–60) **Fourth Czechoslovak Republic (1960–89) **Fifth Czechoslovak Republic (1989–93) *''Czechoslovak'', also ''Czecho-Slovak'', any grouping of the Czech and Slovak ethnicities: **As a national identity, see Czechoslovakism **The title of Symphony no. 8 in G Major op. 88 by Antonín Dvořák in 1889/90 *The Czech–Slovak languages, a West Slavic dialect continuum **The Czechoslovak language, a theoretical standardized form defined as the state language of Czechoslovakia in its Constitution of 1920 **Comparison of Czech and Slovak See also * Slovak Republic (other) * Czech Republic (other) * Czechia (other) * Slovak (other) * Czech (other) Czech may refer to: * Anything from or related to the Czech Republic, a country ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
1926 Births
In Turkey, the year technically contained only 352 days. As Friday, December 18, 1926 ''(Julian Calendar)'' was followed by Saturday, January 1, 1927 '' (Gregorian Calendar)''. 13 days were dropped to make the switch. Turkey thus became the last country to officially adopt the Gregorian Calendar, which ended the 344-year calendrical switch around the world that took place in October, 1582 by virtue of the Papal Bull made by Pope Gregory XIII. Events January * January 3 – Theodoros Pangalos declares himself dictator in Greece. * January 8 **Ibn Saud is crowned ruler of the Kingdom of Hejaz. ** Crown Prince Nguyễn Phúc Vĩnh Thuy ascends the throne as Bảo Đại, the last monarch of the Nguyễn dynasty of the Kingdom of Vietnam. * January 16 – A British Broadcasting Company radio play by Ronald Knox about workers' revolution in London causes a panic among those who have not heard the preliminary announcement that it is a satire on broadcasting. * January 21 ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
