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Harold Silverstone
Harold Silverstone (1915 – 1974) was a New Zealand mathematician and statistician. Early life and education He was born on 20 January 1915 in Dunedin, Otago, New Zealand. His father Mark Woolf Silverstone was a Jewish immigrant from Poland. Harold Silverstone was educated at Otago Boys High School. He later attended the University of Otago where he attained a B.A. in 1934 and an M.A. in 1935. He completed his PhD at the University of Edinburgh in 1939. Academic career He was appointed a lecturer at the Department of Mathematics at the Otago University in 1946. He was appointed as the Statistician to the New Zealand National Service Department in 1940. Contributions to mathematics He has made numerous contributions to mathematics, such as independently deriving the 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, t ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
New Zealand
New Zealand ( mi, Aotearoa ) is an island country in the southwestern Pacific Ocean. It consists of two main landmasses—the North Island () and the South Island ()—and over 700 smaller islands. It is the sixth-largest island country by area, covering . New Zealand is about east of Australia across the Tasman Sea and south of the islands of New Caledonia, Fiji, and Tonga. The country's varied topography and sharp mountain peaks, including the Southern Alps, owe much to tectonic uplift and volcanic eruptions. New Zealand's capital city is Wellington, and its most populous city is Auckland. The islands of New Zealand were the last large habitable land to be settled by humans. Between about 1280 and 1350, Polynesians began to settle in the islands and then developed a distinctive Māori culture. In 1642, the Dutch explorer Abel Tasman became the first European to sight and record New Zealand. In 1840, representatives of the United Kingdom and Māori chiefs ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
University Of Otago
, image_name = University of Otago Registry Building2.jpg , image_size = , caption = University clock tower , motto = la, Sapere aude , mottoeng = Dare to be wise , established = 1869; 152 years ago , type = Public research collegiate university , endowment = NZD $279.9 million (31 December 2021) , budget = NZD $756.8 million (31 December 2020) , chancellor = Stephen Higgs , vice_chancellor = David Murdoch , administrative_staff = 2,246 (2019) , academic_staff = 1,744 (2019) , students = 21,240 (2019) , undergrad = 15,635 (2014) , postgrad = 4,378 (2014) , doctoral = 1,579 (2019) , other = , city = Dunedin , province = Otago , country = New Zealand (Māori: ''Ōtepoti, Ōtākou, Aotearoa'') , coor = , campus = Urban/University town 45 ha (111 acres) , colours = Dunedin Blue and Gold , free_label = Student Magazine , free = ''Critic'' , affiliations = MNU , website https://www.otago.ac.nz, logo = Logo of the University of Otago.svg The Unive ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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 service ... [...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] |
University Of Edinburgh
The University of Edinburgh ( sco, University o Edinburgh, gd, Oilthigh Dhùn Èideann; abbreviated as ''Edin.'' in post-nominals) is a public research university based in Edinburgh, Scotland. Granted a royal charter by King James VI in 1582 and officially opened in 1583, it is one of Scotland's four ancient universities and the sixth-oldest university in continuous operation in the English-speaking world. The university played an important role in Edinburgh becoming a chief intellectual centre during the Scottish Enlightenment and contributed to the city being nicknamed the " Athens of the North." Edinburgh is ranked among the top universities in the United Kingdom and the world. Edinburgh is a member of several associations of research-intensive universities, including the Coimbra Group, League of European Research Universities, Russell Group, Una Europa, and Universitas 21. In the fiscal year ending 31 July 2021, it had a total income of £1.176 billion, of ... [...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] |
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] |
New Zealand Communist Party
The Communist Party of New Zealand (CPNZ) was a communist party in New Zealand which existed from 1921 to 1994. Although spurred to life by events in Soviet Russia in the aftermath of World War I, the party had roots in pre-existing revolutionary socialist and syndicalist organisations, including in particular the independent Wellington Socialist Party, supporters of the Industrial Workers of the World in the Auckland region, and a network of impossiblist study groups of miners on the west coast of the South Island. Never high on the list of priorities of the Communist International, the Communist Party of Australia was considered an appendage of the CPNZ until 1928, when it began to function as a fully independent party. Party membership remained small, only briefly topping the 1,000 mark, with its members subjected to government repression and isolated by expulsions from the mainstream labour movement concentrated in the New Zealand Labour Party. During the period of the Sino ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
