Harald Cramer was a Swedish mathematician, actuary and statistician, born on 25 September 1893 and died on 5 October 1985. He specialized in mathematical statistics and in probabilistic number theory, the use of probability to study the behaviour of integers. John Kingman described him as one of the giants of statistical theory. Actuarial science applies probability and statistics to insurance and pensions, so his three named specialities, actuarial work, statistics and probabilistic number theory, all rest on the mathematics of chance.
Facts
Harald Cramér
Filter Results1 entry
Connections
Conjectures Posed
Source Cramér's conjecture (Wikipedia)
In Branch
Source Harald Cramér (Wikipedia)
Mentored
Source Bertil Matérn (Wikipedia)
Principal Result
Source Cramer-Rao Bound (Wikipedia)
Source Cramer-Wold theorem (Wikipedia)
Proofs Credited
Source Cramer-Rao inequality (bound), Wikipedia
Source Cramer-Rao inequality (bound), Wikipedia
Source Cramér's Theorem (Large Deviations) (Wikipedia)
Source Cramer-Wold theorem (Wikipedia)
Source Slutsky's Theorem (Wikipedia)
In the Other Atlases
Nationality
Also in Geography Atlas: the nationality of this subject.
Source Harald Cramér (Wikipedia)
Sources
1. Harald Cramér (Wikipedia)
Lead paragraph [nationality-culture]
was a Swedish mathematician
Lead paragraph
25 September 1893
Article text, pronouns he and his
Cramér remained close to Stockholm for most of his life.
View the SourceCramér's Theorem (Large Deviations) (Wikipedia)
Wikimedia FoundationProofs Credited: Cramér's Theorem (Large Deviations), Article textQuote, Proofs Credited: Cramér's Theorem (Large Deviations), Article text
A weak version of this result was first shown by Harald Cramér in 1938.
Bertil Matérn (Wikipedia)
Mentored: Bertil Matérn, Life and workQuote, Mentored: Bertil Matérn, Life and work
He studied at Stockholm University, under the supervision of Harald Cramér.
Cramer-Wold theorem (Wikipedia)
Principal Result: Cramer-Wold Theorem, Lead sentence of the article on the result
The theorem is named after Harald Cramér and Herman Ole Andreas Wold, who published the result in 1936.
Proofs Credited: Cramer-Wold Theorem, Lead paragraph
In mathematics, the Cramér-Wold theorem or the Cramér-Wold device is a theorem in measure theory and which states that a Borel probability measure
View the SourceCramer-Rao Bound (Wikipedia)
Principal Result: Cramer-Rao Bound, Lead sentence of the article on the resultQuote, Principal Result: Cramer-Rao Bound, Lead sentence of the article on the result
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.
Cramér's conjecture (Wikipedia)
Conjectures Posed: Cramer's Conjecture, Lead paragraphQuote, Conjectures Posed: Cramer's Conjecture, Lead paragraph
In number theory, Cramér's conjecture, formulated by the Swedish mathematician Harald Cramér in 1936, is an estimate for the size of gaps between
Slutsky's Theorem (Wikipedia)
Wikimedia FoundationProofs Credited: Slutsky's Theorem, Lead paragraphQuote, Proofs Credited: Slutsky's Theorem, Lead paragraph
The theorem was named after Eugen Slutsky. Slutsky's theorem is also attributed to Harald Cramér.
Cramer-Rao inequality (bound), Wikipedia
Proofs Credited: Cramer-Rao Inequality, Lead paragraph
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
Proofs Credited: Cramer-Rao Bound, Lead paragraph
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
View the SourceReader Challenges (0)
No disputes yet. Spotted an error or a better source? Open the first one.
Sign in to dispute this or suggest a correction.