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Piet Groeneboom
Petrus (Piet) Groeneboom (born 24 September 1941 in Scheveningen) is a Dutch statistician who made major advances in the field of shape-constrained statistical inference such as isotonic regression, and also worked in probability theory. Education and career At the beginning of his tertiary studies in 1959, Groeneboom enrolled in medicine at the University of Amsterdam but quickly switched to psychology at the same university, obtaining a candidate degree in 1963. During his studies he attended a course on logic by analytic philosopher Else M. Barth, whose influence, along with that by Lambert Meertens after his (Groeneboom's) candidate degree, he later stated as having made him decide to study mathematics. He was an assistant of Johannes de Groot. He obtained a master's degree in mathematics in 1971, also at the University of Amsterdam, and studied at the Vrije Universiteit Amsterdam from 1975 under Kobus Oosterhoff, obtaining his Ph.D. degree in 1979. Before and immediately ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Piet Groeneboom, 2016
Piet may refer to: People *Piet (given name), a common name in the Netherlands and South Africa *Henri Piet (1888–1915), French lightweight boxer *Tony Piet (1906–1981), American Major League Baseball player Schools *Purushottam Institute of Engineering and Technology, Rourkela, Orissa, India *Priydarshini Institute of Engineering and Technology, Nagpur, Maharashtra, India *Pakistan Institute of Engineering and Technology, Multan, Punjab, Pakistan Other uses *Piet (programming language) *Piet (horse), American thoroughbred racehorse {{disambig, surname ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Johannes De Groot
Johannes de Groot (May 7, 1914 – September 11, 1972) was a Dutch mathematician, the leading Dutch topologist for more than two decades following World War II.. Biography De Groot was born at Garrelsweer, a village in the municipality of Loppersum, Groningen, on May 7, 1914.. He did both his undergraduate and graduate studies at the Rijksuniversiteit Groningen, where he received his Ph.D. in 1942 under the supervision of Gerrit Schaake. He studied mathematics, physics, and philosophy as an undergraduate, and began his graduate studies concentrating in algebra and algebraic geometry, but switched to point set topology, the subject of his thesis, despite the general disinterest in the subject in the Netherlands at the time after Brouwer, the Dutch giant in that field, had left it in favor of intuitionism. For several years after leaving the university, De Groot taught mathematics at the secondary school level, but in 1946 he was appointed to the Mathematisch Centrum in Amsterd ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Electronic Journal Of Probability
The ''Electronic Journal of Probability'' is a peer-reviewed open access scientific journal published by the Institute of Mathematical Statistics and the Bernoulli Society. It covers all aspects of probability theory and the current editor-in-chief is Bénédicte Haas ( Université Sorbonne Paris Nord). ''Electronic Communications in Probability'' is a sister journal that publishes short papers. The two journals share the same editorial board, but have different editors-in-chiefs, each chosen for a three-year period. According to the ''Journal Citation Reports'', the ''Electronic Journal of Probability'' has a 2016 impact factor of 0.904. Recent editors-in-chief * Bénédicte Hass (2021-2023) * Andreas Kyprianou (2018-2020) * Brian Rider (2015-2017) * Michel Ledoux (2012-2014) * Bálint Tóth Bálint Tόth (born 1955, Cluj/Kolozsvár/Klausenburg) is a Hungarian mathematician whose work concerns probability theory, stochastic process and probabilistic aspects of mathematical p ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Stochastic Process
In probability theory and related fields, a stochastic () or random process is a mathematical object usually defined as a family of random variables. Stochastic processes are widely used as mathematical models of systems and phenomena that appear to vary in a random manner. Examples include the growth of a bacterial population, an electrical current fluctuating due to thermal noise, or the movement of a gas molecule. Stochastic processes have applications in many disciplines such as biology, chemistry, ecology, neuroscience, physics, image processing, signal processing, control theory, information theory, computer science, cryptography and telecommunications. Furthermore, seemingly random changes in financial markets have motivated the extensive use of stochastic processes in finance. Applications and the study of phenomena have in turn inspired the proposal of new stochastic processes. Examples of such stochastic processes include the Wiener process or Brownian motion ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Brownian Motion
Brownian motion, or pedesis (from grc, πήδησις "leaping"), is the random motion of particles suspended in a medium (a liquid or a gas). This pattern of motion typically consists of random fluctuations in a particle's position inside a fluid sub-domain, followed by a relocation to another sub-domain. Each relocation is followed by more fluctuations within the new closed volume. This pattern describes a fluid at thermal equilibrium, defined by a given temperature. Within such a fluid, there exists no preferential direction of flow (as in transport phenomena). More specifically, the fluid's overall linear and angular momenta remain null over time. The kinetic energies of the molecular Brownian motions, together with those of molecular rotations and vibrations, sum up to the caloric component of a fluid's internal energy (the equipartition theorem). This motion is named after the botanist Robert Brown, who first described the phenomenon in 1827, while looking th ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Comparison Of Topologies
In topology and related areas of mathematics, the set of all possible topologies on a given set forms a partially ordered set. This order relation can be used for comparison of the topologies. Definition A topology on a set may be defined as the collection of subsets which are considered to be "open". An alternative definition is that it is the collection of subsets which are considered "closed". These two ways of defining the topology are essentially equivalent because the complement of an open set is closed and vice versa. In the following, it doesn't matter which definition is used. Let ''τ''1 and ''τ''2 be two topologies on a set ''X'' such that ''τ''1 is contained in ''τ''2: :\tau_1 \subseteq \tau_2. That is, every element of ''τ''1 is also an element of ''τ''2. Then the topology ''τ''1 is said to be a coarser (weaker or smaller) topology than ''τ''2, and ''τ''2 is said to be a finer (stronger or larger) topology than ''τ''1. There are some authors, especially ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Sanov's Theorem
In mathematics and information theory, Sanov's theorem gives a bound on the probability of observing an atypical sequence of samples from a given probability distribution. In the language of large deviations theory, Sanov's theorem identifies the rate function for large deviations of the empirical measure of a sequence of i.i.d. random variables. Let ''A'' be a set of probability distributions over an alphabet ''X'', and let ''q'' be an arbitrary distribution over ''X'' (where ''q'' may or may not be in ''A''). Suppose we draw ''n'' i.i.d. samples from ''q'', represented by the vector x^n = x_1, x_2, \ldots, x_n. Then, we have the following bound on the probability that the empirical measure \hat_ of the samples falls within the set ''A'': :q^n(\hat_\in A) \le (n+1)^ 2^, where * q^n is the joint probability distribution on X^n, and * p^* is the information projection of ''q'' onto ''A''. In words, the probability of drawing an atypical distribution is bounded by a functio ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Lucia De Berk
Lucia de Berk (born September 22, 1961, in The Hague, Netherlands), often called Lucia de B., is a Dutch licensed paediatric nurse who was the subject of a miscarriage of justice. In 2003, she was sentenced to life imprisonment, for which no parole is possible under Dutch law, for four murders and three attempted murders of patients under her care. In 2004, after an appeal, she was convicted of seven murders and three attempted murders. Her conviction was controversial in the media and by scientists, and it was questioned by the investigative reporter Peter R. de Vries. In October 2008, the case was reopened by the Dutch Supreme Court, as new facts had been uncovered that undermined the previous verdicts. De Berk was freed, and her case retried; she was exonerated in April 2010. Charges As a result of an unexpected death of a baby in the (JKZ, Juliana Children's Hospital) in The Hague on 4 September 2001, earlier deaths and cardiopulmonary resuscitations were scrutinised. ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Chance (magazine)
''Chance'' is a quarterly non-technical statistics magazine published jointly by the American Statistical Association and Taylor & Francis Group Taylor & Francis Group is an international company originating in England that publishes books and academic journals. Its parts include Taylor & Francis, Routledge, F1000 Research or Dovepress. It is a division of Informa plc, a United K .... It was established in 1988, and Taylor & Francis has published it since 2012. The magazine sponsors the blog "The Statistics Forum", which allows anyone to post their thoughts on probability and statistics. References External links * {{Authority control Quarterly magazines published in the United States American Statistical Association Magazines established in 1988 ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Statistics
Statistics (from German: '' Statistik'', "description of a state, a country") is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data. In applying statistics to a scientific, industrial, or social problem, it is conventional to begin with a statistical population or a statistical model to be studied. Populations can be diverse groups of people or objects such as "all people living in a country" or "every atom composing a crystal". Statistics deals with every aspect of data, including the planning of data collection in terms of the design of surveys and experiments.Dodge, Y. (2006) ''The Oxford Dictionary of Statistical Terms'', Oxford University Press. When census data cannot be collected, statisticians collect data by developing specific experiment designs and survey samples. Representative sampling assures that inferences and conclusions can reasonably extend from the sample to the population as a whole. An ex ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Professor Emeritus
''Emeritus'' (; female: ''emerita'') is an adjective used to designate a retired chair, professor, pastor, bishop, pope, director, president, prime minister, rabbi, emperor, or other person who has been "permitted to retain as an honorary title the rank of the last office held". In some cases, the term is conferred automatically upon all persons who retire at a given rank, but in others, it remains a mark of distinguished service awarded selectively on retirement. It is also used when a person of distinction in a profession retires or hands over the position, enabling their former rank to be retained in their title, e.g., "professor emeritus". The term ''emeritus'' does not necessarily signify that a person has relinquished all the duties of their former position, and they may continue to exercise some of them. In the description of deceased professors emeritus listed at U.S. universities, the title ''emeritus'' is replaced by indicating the years of their appointmentsThe Proto ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Centrum Wiskunde & Informatica
The (abbr. CWI; English: "National Research Institute for Mathematics and Computer Science") is a research centre in the field of mathematics and theoretical computer science. It is part of the institutes organization of the Dutch Research Council (NWO) and is located at the Amsterdam Science Park. This institute is famous as the creation site of the programming language Python. It was a founding member of the European Research Consortium for Informatics and Mathematics (ERCIM). Early history The institute was founded in 1946 by Johannes van der Corput, David van Dantzig, Jurjen Koksma, Hendrik Anthony Kramers, Marcel Minnaert and Jan Arnoldus Schouten. It was originally called ''Mathematical Centre'' (in Dutch: ''Mathematisch Centrum''). One early mission was to develop mathematical prediction models to assist large Dutch engineering projects, such as the Delta Works. During this early period, the Mathematics Institute also helped with designing the wings of the Fokke ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
