• Thumbnail for Harald Cramér
    Harald Cramér (Swedish: [kraˈmeːr]; 25 September 1893 – 5 October 1985) was a Swedish mathematician, actuary, and statistician, specializing in mathematical...
    12 KB (1,258 words) - 13:01, 26 December 2023
  • It is based on Pearson's chi-squared statistic and was published by Harald Cramér in 1946. φc is the intercorrelation of two discrete variables and may...
    7 KB (984 words) - 20:47, 28 March 2024
  • Thumbnail for Cramér–Rao bound
    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...
    27 KB (4,434 words) - 07:07, 15 May 2024
  • In number theory, Cramér's conjecture, formulated by the Swedish mathematician Harald Cramér in 1936, is an estimate for the size of gaps between consecutive...
    12 KB (1,578 words) - 06:27, 29 May 2024
  • after Harald Cramér and Richard Edler von Mises who first proposed it in 1928–1930. The generalization to two samples is due to Anderson. The Cramér–von...
    6 KB (949 words) - 10:35, 8 February 2024
  • Thumbnail for Herman Wold
    bibliography published with the ET interview (below). Causality Cramér, Harald Convex preferences Cramér–Wold theorem Demand (economics) Directed acyclic graph...
    12 KB (1,140 words) - 02:06, 6 July 2024
  • random variables. A weak version of this result was first shown by Harald Cramér in 1938. The logarithmic moment generating function (which is the cumulant-generating...
    2 KB (310 words) - 14:52, 23 May 2023
  • method for proving joint convergence results. The theorem is named after Harald Cramér and Herman Ole Andreas Wold. Let X n = ( X n 1 , … , X n k ) {\displaystyle...
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  • named after Eugen Slutsky. Slutsky's theorem is also attributed to Harald Cramér. Let X n , Y n {\displaystyle X_{n},Y_{n}} be sequences of scalar/vector/matrix...
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  • Thumbnail for Actuary
    Massachusetts  Harald Cramér (1893–1985) Swedish actuary and probabilist notable for his contributions in mathematical statistics, such as the Cramér–Rao inequality...
    60 KB (5,670 words) - 07:14, 25 June 2024
  • latter result, initially announced by Paul Lévy, has been proved by Harald Cramér. This became a starting point for a new subfield in probability theory...
    2 KB (201 words) - 07:46, 1 May 2023
  • Thumbnail for Nyquist frequency
    cycles per inch. Grenander, Ulf (1959). Probability and Statistics: The Harald Cramér Volume. Wiley. The Nyquist frequency is that frequency whose period...
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  • probabilities. A rate function is also called a Cramér function, after the Swedish probabilist Harald Cramér. Rate function An extended real-valued function...
    9 KB (1,305 words) - 18:08, 25 January 2024
  • Thumbnail for Filip Lundberg
    worked as managing director of several insurance companies. According to Harald Cramér, "Filip Lundberg's works on risk theory were all written at a time when...
    7 KB (771 words) - 02:33, 27 June 2024
  • method for proving joint convergence results. The theorem is named after Harald Cramér and Herman Ole Andreas Wold. Jacobi operator D. H. Fremlin, 2000. Measure...
    10 KB (1,239 words) - 17:28, 29 January 2024
  • actuary Filip Lundberg. Lundberg's work was republished in the 1930s by Harald Cramér. The model describes an insurance company who experiences two opposing...
    11 KB (1,464 words) - 01:34, 30 May 2024
  • Thumbnail for Information geometry
    discoveries of at least the following people, and many others. Ronald Fisher Harald Cramér Calyampudi Radhakrishna Rao Harold Jeffreys Solomon Kullback Jean-Louis...
    8 KB (811 words) - 07:59, 25 May 2024
  • German general Harald Cramér (1893–1985), Swedish mathematician Harriet L. Cramer (1847-1922), American newspaper publisher Helene Cramer (1844–1916), German...
    5 KB (629 words) - 22:55, 18 January 2024
  • Thumbnail for Prime gap
    Retrieved March 2, 2016.. Pintz, János (September 2007). "Cramér vs. Cramér: On Cramér's probabilistic model for primes". Functiones et Approximatio...
    33 KB (3,584 words) - 18:02, 5 July 2024
  • Thumbnail for Loss function
    model benefits paid over premiums, particularly since the works of Harald Cramér in the 1920s. In optimal control, the loss is the penalty for failing...
    21 KB (2,796 words) - 04:29, 12 May 2024
  • Sourav Chatterjee Kai Lai Chung (1917–2009) Erhan Cinlar (born 1941) Harald Cramér (1893–1985) Amir Dembo (born 1958) Persi Diaconis (born 1945) Hugo Duminil-Copin...
    5 KB (557 words) - 14:18, 27 May 2024
  • attributed it to Herman Rubin. In 1938 Harald Cramér had published an almost identical concept now known as Cramér's theorem. It is a sharper bound than...
    32 KB (5,086 words) - 13:27, 9 July 2024
  • Thumbnail for Marcel Riesz
    of Clifford algebras. Riesz's doctoral students in Stockholm include Harald Cramér and Einar Carl Hille. In Lund, Riesz supervised the theses of Otto Frostman...
    13 KB (1,318 words) - 12:17, 6 April 2024
  • director. He was the son of Carl-Rudolf Cramér and the nephew of Harald Cramér and married to Tyyne Talvo Cramér. Cramér often worked in a folklorically inspired...
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  • Thumbnail for List of Swedish scientists
    (1943–), ethnologist Margareta Wahlström (1950–), senior UN official Harald Cramér (1893–1985), mathematical statistics Ulf Grenander (1923–2016), stochastic...
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  • formalization started with insurance mathematics, namely ruin theory with Cramér and Lundberg. A unified formalization of large deviation theory was developed...
    16 KB (2,559 words) - 19:01, 11 June 2024
  • (1962) Jerzy Neyman (1966) M. G. Kendall (1968) M. S. Bartlett (1969) Harald Cramér (1972) David Cox (1973) G. A. Barnard (1975) Roy Allen (1978) D. G....
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  • Thumbnail for C. R. Rao
    contribution to information geometry Cramer-Rao Lower Bound and Information Geometry Photograph of Rao with Harald Cramér in 1978 C. R. Rao from the PORTRAITS...
    31 KB (2,792 words) - 23:40, 6 June 2024
  • For real x, the Hermite functions satisfy the following bound due to Harald Cramér and Jack Indritz: | ψ n ( x ) | ≤ π − 1 4 . {\displaystyle {\bigl |}\psi...
    56 KB (10,011 words) - 16:24, 12 June 2024
  • true, Legendre's conjecture would follow for all sufficiently large n. Harald Cramér also proved that the Riemann hypothesis implies a weaker bound of O...
    8 KB (940 words) - 03:12, 19 June 2024