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A. C. Aitken
Alexander Craig "Alec" Aitken (1 April 1895 – 3 November 1967) was one of New Zealand's most eminent mathematicians. In a 1935 paper he introduced the concept of generalized least squares, along with now standard vector/matrix notation for the linear regression model. Another influential paper co-authored with his student Harold Silverstone established the lower bound on the variance of an estimator, now known as Cramér–Rao bound. He was elected to the Royal Society of Literature for his World War I memoir, ''Gallipoli to the Somme''. Life and work Aitken was born on 1 April 1895 in Dunedin, the eldest of the seven children of Elizabeth Towers and William Aitken. He was of Scottish descent, his grandfather having emigrated from Lanarkshire in 1868. His mother was from Wolverhampton. He was educated at Otago Boys' High School in Dunedin (1908–13) where he was school dux and won the Thomas Baker Calculus Scholarship in his last year at school. He saw active ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Dunedin
Dunedin ( ; mi, Ōtepoti) is the second-largest city in the South Island of New Zealand (after Christchurch), and the principal city of the Otago region. Its name comes from , the Scottish Gaelic name for Edinburgh, the capital of Scotland. The city has a rich Scottish, Chinese and Māori heritage. With an estimated population of as of , Dunedin is both New Zealand's seventh-most populous metro and urban area. For historic, cultural and geographic reasons the city has long been considered one of New Zealand's four main centres. The urban area of Dunedin lies on the central-eastern coast of Otago, surrounding the head of Otago Harbour, and the harbour and hills around Dunedin are the remnants of an extinct volcano. The city suburbs extend out into the surrounding valleys and hills, onto the isthmus of the Otago Peninsula, and along the shores of the Otago Harbour and the Pacific Ocean. Archaeological evidence points to lengthy occupation of the area by Māori prior to the ar ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Fellow Of The Royal Society
Fellowship of the Royal Society (FRS, ForMemRS and HonFRS) is an award granted by the judges of the Royal Society of London to individuals who have made a "substantial contribution to the improvement of natural science, natural knowledge, including mathematics, engineering science, and medical science". Fellow, Fellowship of the Society, the oldest known scientific academy in continuous existence, is a significant honour. It has been awarded to many eminent scientists throughout history, including Isaac Newton (1672), Michael Faraday (1824), Charles Darwin (1839), Ernest Rutherford (1903), Srinivasa Ramanujan (1918), Albert Einstein (1921), Paul Dirac (1930), Winston Churchill (1941), Subrahmanyan Chandrasekhar (1944), Dorothy Hodgkin (1947), Alan Turing (1951), Lise Meitner (1955) and Francis Crick (1959). More recently, fellowship has been awarded to Stephen Hawking (1974), David Attenborough (1983), Tim Hunt (1991), Elizabeth Blackburn (1992), Tim Berners-Lee (2001), Venki R ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Otago Boys' High School
, motto_translation = "The ‘right’ learning builds a heart of oak" , type = State secondary, day and boarding , established = ; years ago , streetaddress= 2 Arthur Street , region = Dunedin , state = Otago , zipcode = 9016 , country = New Zealand , coordinates = , rector = Richard Hall , free_label_2 = School Song , free_2 = ''Follow Up Otago High'' , roll = () , gender = Boys , decile = 9Q , MOE = 377 , sister_school = Otago Girls' High School , houses = Aspinall McIndoe Park Saxton , homepage www.obhs.school.nz, picture = Otago Boys High School.jpg , picture_caption = Central block Otago Boys' High School (OBHS) is a secondary school in Dunedin, New Zealand. It is one of New Zealand's oldest boys' secondary schools. Originally known as Dunedin High School, it was founded on 3 August 1863 and moved to its present site in 1885. The main building was designed by Robert Lawson ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Wolverhampton
Wolverhampton () is a city, metropolitan borough and administrative centre in the West Midlands, England. The population size has increased by 5.7%, from around 249,500 in 2011 to 263,700 in 2021. People from the city are called "Wulfrunians". Historically part of Staffordshire, the city grew initially as a market town specialising in the wool trade. In the Industrial Revolution, it became a major centre for coal mining, steel production, lock making, and the manufacture of cars and motorcycles. The economy of the city is still based on engineering, including a large aerospace industry, as well as the service sector. Toponym The city is named after Wulfrun, who founded the town in 985, from the Anglo-Saxon ''Wulfrūnehēantūn'' ("Wulfrūn's high or principal enclosure or farm"). Before the Norman Conquest, the area's name appears only as variants of ''Heantune'' or ''Hamtun'', the prefix ''Wulfrun'' or similar appearing in 1070 and thereafter. Alternatively, the city ma ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Lanarkshire
Lanarkshire, also called the County of Lanark ( gd, Siorrachd Lannraig; sco, Lanrikshire), is a historic county, lieutenancy area and registration county in the central Lowlands of Scotland. Lanarkshire is the most populous county in Scotland, as it contains most of Glasgow and the surrounding conurbation. In earlier times it had considerably greater boundaries, including neighbouring Renfrewshire until 1402. Lanarkshire is bounded to the north by the counties of Stirlingshire and Dunbartonshire (this boundary is split into two sections owing to Dunbartonshire's Cumbernauld exclave), to the northeast by West Lothian and Mid Lothian, to the east by Peeblesshire, to the south by Dumfriesshire, and to the west by Ayrshire and Renfrewshire. Administrative history Lanarkshire was historically divided between two administrative areas. In the mid-18th century it was divided again into three wards: the upper, middle and lower wards with their administrative centres at Lanark, Hamil ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
World War I
World War I (28 July 1914 11 November 1918), often abbreviated as WWI, was one of the deadliest global conflicts in history. Belligerents included much of Europe, the Russian Empire, the United States, and the Ottoman Empire, with fighting occurring throughout Europe, the Middle East, Africa, the Pacific, and parts of Asia. An estimated 9 million soldiers were killed in combat, plus another 23 million wounded, while 5 million civilians died as a result of military action, hunger, and disease. Millions more died in genocides within the Ottoman Empire and in the 1918 influenza pandemic, which was exacerbated by the movement of combatants during the war. Prior to 1914, the European great powers were divided between the Triple Entente (comprising France, Russia, and Britain) and the Triple Alliance (containing Germany, Austria-Hungary, and Italy). Tensions in the Balkans came to a head on 28 June 1914, following the assassination of Archduke Franz Ferdin ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Royal Society Of Literature
The Royal Society of Literature (RSL) is a learned society founded in 1820, by George IV of the United Kingdom, King George IV, to "reward literary merit and excite literary talent". A charity that represents the voice of literature in the UK, the RSL has about 600 Fellows, elected from among the best writers in any genre currently at work. Additionally, Honorary Fellows are chosen from those who have made a significant contribution to the advancement of literature, including publishers, agents, librarians, booksellers or producers. The society is a cultural tenant at London's Somerset House. History The Royal Society of Literature (RSL) was founded in 1820, with the patronage of George IV, to "reward literary merit and excite literary talent", and its first president was Thomas Burgess (bishop, born 1756), Thomas Burgess, Bishop of St David's (who was later translated as Bishop of Salisbury). At the heart of the RSL is its Fellowship, "which encompasses the most distinguished w ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
The American Statistician
''The American Statistician'' is a quarterly peer-reviewed scientific journal covering statistics published by Taylor & Francis on behalf of the American Statistical Association. It was established in 1947. The editor-in-chief is Daniel R. Jeske, a professor at the University of California, Riverside The University of California, Riverside (UCR or UC Riverside) is a public land-grant research university in Riverside, California. It is one of the ten campuses of the University of California system. The main campus sits on in a suburban distr .... External links * Taylor & Francis academic journals Statistics journals Publications established in 1947 English-language journals Quarterly journals 1947 establishments in the United States Academic journals associated with learned and professional societies of the United States {{math-journal-stub ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Cramér–Rao Bound
In estimation theory and statistics, the Cramér–Rao bound (CRB) expresses a lower bound on the variance of unbiased estimators of a deterministic (fixed, though unknown) parameter, the variance of any such estimator is at least as high as the inverse of the Fisher information. Equivalently, it expresses an upper bound on the precision (the inverse of variance) of unbiased estimators: the precision of any such estimator is at most the Fisher information. The result is named in honor of Harald Cramér and C. R. Rao, but has independently also been derived by Maurice Fréchet, Georges Darmois, as well as Alexander Aitken and Harold Silverstone. An unbiased estimator that achieves this lower bound is said to be (fully) '' efficient''. Such a solution achieves the lowest possible mean squared error among all unbiased methods, and is therefore the minimum variance unbiased (MVU) estimator. However, in some cases, no unbiased technique exists which achieves the bound. This may occur ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Estimator
In statistics, an estimator is a rule for calculating an estimate of a given quantity based on observed data: thus the rule (the estimator), the quantity of interest (the estimand) and its result (the estimate) are distinguished. For example, the sample mean is a commonly used estimator of the population mean. There are point and interval estimators. The point estimators yield single-valued results. This is in contrast to an interval estimator, where the result would be a range of plausible values. "Single value" does not necessarily mean "single number", but includes vector valued or function valued estimators. ''Estimation theory'' is concerned with the properties of estimators; that is, with defining properties that can be used to compare different estimators (different rules for creating estimates) for the same quantity, based on the same data. Such properties can be used to determine the best rules to use under given circumstances. However, in robust statistics, statistica ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Linear Regression Model
In statistics, linear regression is a linear approach for modelling the relationship between a scalar response and one or more explanatory variables (also known as dependent and independent variables). The case of one explanatory variable is called ''simple linear regression''; for more than one, the process is called multiple linear regression. This term is distinct from multivariate linear regression, where multiple correlated dependent variables are predicted, rather than a single scalar variable. In linear regression, the relationships are modeled using linear predictor functions whose unknown model parameters are estimated from the data. Such models are called linear models. Most commonly, the conditional mean of the response given the values of the explanatory variables (or predictors) is assumed to be an affine function of those values; less commonly, the conditional median or some other quantile is used. Like all forms of regression analysis, linear regression focuses on t ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Matrix (mathematics)
In mathematics, a matrix (plural matrices) is a rectangular array or table of numbers, symbols, or expressions, arranged in rows and columns, which is used to represent a mathematical object or a property of such an object. For example, \begin1 & 9 & -13 \\20 & 5 & -6 \end is a matrix with two rows and three columns. This is often referred to as a "two by three matrix", a "-matrix", or a matrix of dimension . Without further specifications, matrices represent linear maps, and allow explicit computations in linear algebra. Therefore, the study of matrices is a large part of linear algebra, and most properties and operations of abstract linear algebra can be expressed in terms of matrices. For example, matrix multiplication represents composition of linear maps. Not all matrices are related to linear algebra. This is, in particular, the case in graph theory, of incidence matrices, and adjacency matrices. ''This article focuses on matrices related to linear algebra, and, unle ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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