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Alexander 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 serv ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Dunedin
Dunedin ( ; ) is the second-most populous city in the South Island of New Zealand (after Christchurch), and the principal city of the Otago region. Its name comes from ("fort of Edin"), the Scottish Gaelic name for Edinburgh, the capital of Scotland. The city has a rich Māori people, Māori, Scottish people, Scottish, and Chinese people, Chinese heritage. With an estimated population of as of , Dunedin is New Zealand's seventh-most populous metropolitan and urban area. For cultural, geographical, and historical 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. 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 poin ... [...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 Fellows 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". Overview Fellowship of the Society, the oldest known scientific academy in continuous existence, is a significant honour. It has been awarded to :Fellows of the Royal Society, around 8,000 fellows, including eminent scientists Isaac Newton (1672), Benjamin Franklin (1756), Charles Babbage (1816), Michael Faraday (1824), Charles Darwin (1839), Ernest Rutherford (1903), Srinivasa Ramanujan (1918), Jagadish Chandra Bose (1920), Albert Einstein (1921), Paul Dirac (1930), Subrahmanyan Chandrasekhar (1944), Prasanta Chandra Mahalanobis (1945), Dorothy Hodgkin (1947), Alan Turing (1951), Lise Meitner (1955), Satyendra Nath Bose (1958), and Francis Crick (1959). More recently, fellow ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Otago Boys' High School
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 (architect), Robert Lawson and is regarded as one of the finest Gothic revival structures in the country. Situated on high ground above central Dunedin it commands excellent views of the city and is a prominent landmark. Otago Girls' High School now occupies the original site in Tennyson Street, closer to the centre of the city and is Otago Boys' sister school. The school owns a lodge in Mount Aspiring National Park, and has regular field trips for students. On 24 November 1864, a petition bearing 54 signatures was presented to the New Zealand House of Representatives, seeking official recognition for Dunedin High School's cadet corps (the ‘memorialists’) as members of the colonial ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Wolverhampton
Wolverhampton ( ) is a city and metropolitan borough in the West Midlands (county), West Midlands of England. Located around 12 miles (20 km) north of Birmingham, it forms the northwestern part of the West Midlands conurbation, with the towns of Walsall to the east and Dudley to the south. The population in 2021 was 263,700, making it the third largest city in the West Midlands after Birmingham and Coventry. Historic counties of England, Historically in Staffordshire, Wolverhampton grew as a market town specialising in the wool trade. During the Industrial Revolution, it became a major centre for coal mining, steel production, lock making, and automotive manufacturing; the economy of the city is still based on engineering, including a large aerospace industry, as well as the Tertiary sector of the economy, service sector. The city is also home to the University of Wolverhampton. A town for most of its history, it gained city status in the United Kingdom, city status in 2000. The ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Lanarkshire
Lanarkshire, also called the County of Lanark (; ), is a Counties of Scotland, historic county, Lieutenancy areas of Scotland, lieutenancy area and registration county in the Central Lowlands and Southern Uplands of Scotland. The county is no longer used for local government purposes, but gives its name to the two modern council areas of North Lanarkshire and South Lanarkshire. The county was established as a shire (the area controlled by a sheriff principal, sheriff) in the twelfth century, covering most of the basin of the River Clyde. The area was sometimes known as Clydesdale. In the early fifteenth century the western part of the shire was removed to become Renfrewshire (historic), Renfrewshire. The historic county of Lanarkshire includes Glasgow, but the city had a separate lieutenancy areas of Scotland, lieutenancy from 1893. A Lanarkshire County Council existed from 1890 until 1975, which was based in Glasgow until 1964 when it moved to Hamilton, South Lanarkshire, Hamil ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
World War I
World War I or the First World War (28 July 1914 – 11 November 1918), also known as the Great War, was a World war, global conflict between two coalitions: the Allies of World War I, Allies (or Entente) and the Central Powers. Fighting took place mainly in European theatre of World War I, Europe and the Middle Eastern theatre of World War I, Middle East, as well as in parts of African theatre of World War I, Africa and the Asian and Pacific theatre of World War I, Asia-Pacific, and in Europe was characterised by trench warfare; the widespread use of Artillery of World War I, artillery, machine guns, and Chemical weapons in World War I, chemical weapons (gas); and the introductions of Tanks in World War I, tanks and Aviation in World War I, aircraft. World War I was one of the List of wars by death toll, deadliest conflicts in history, resulting in an estimated World War I casualties, 10 million military dead and more than 20 million wounded, plus some 10 million civilian de ... [...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 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 800 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. The RSL is an independent charity and relies on the support of its Members, Patrons, Fellows and friends to continue its work. 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 of St David's (who was later translated as Bishop of Salisbury). From the beginning of the ... [...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 An editor-in-chief (EIC), also known as lead editor or chief editor, is a publication's editorial leader who has final responsibility for its operations and policies. The editor-in-chief heads all departments of the organization and is held accoun ... is Daniel R. Jeske, a professor at the University of California, Riverside. External links * Taylor & Francis academic journals Statistics journals Academic journals 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 {{statistics-journal-stub ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Cramér–Rao Bound
In estimation theory and statistics, the Cramér–Rao bound (CRB) relates to estimation of a deterministic (fixed, though unknown) parameter. The result is named in honor of Harald Cramér and Calyampudi Radhakrishna Rao, but has also been derived independently by Maurice Fréchet, Georges Darmois, and by Alexander Aitken and Harold Silverstone. It is also known as Fréchet-Cramér–Rao or Fréchet-Darmois-Cramér-Rao lower bound. It states that the precision of any unbiased estimator is at most the Fisher information; or (equivalently) the reciprocal of the Fisher information is a lower bound on its variance. An unbiased estimator that achieves this 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 either if for any unbiased ... [...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 Sample (statistics), 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 estimator, 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. Howeve ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Linear Regression Model
In statistics, linear regression is a model that estimates the relationship between a scalar response (dependent variable) and one or more explanatory variables (regressor or independent variable). A model with exactly one explanatory variable is a ''simple linear regression''; a model with two or more explanatory variables is a multiple linear regression. This term is distinct from multivariate linear regression, which predicts multiple correlated dependent variables rather than a single dependent variable. In linear regression, the relationships are modeled using linear predictor functions whose unknown model parameters are estimated from the data. 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 the conditional probabi ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Matrix (mathematics)
In mathematics, a matrix (: matrices) is a rectangle, rectangular array or table of numbers, symbol (formal), symbols, or expression (mathematics), expressions, with elements or entries arranged in rows and columns, which is used to represent a mathematical object or 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 . Matrices are commonly used in linear algebra, where they represent linear maps. In geometry, matrices are widely used for specifying and representing geometric transformations (for example rotation (mathematics), rotations) and coordinate changes. In numerical analysis, many computational problems are solved by reducing them to a matrix computation, and this often involves computing with matrices of huge dimensions. Matrices are used in most areas of mathematics and scientific fields, either directly ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
