Mathematician:Carl Harald Cramér

Mathematician

Swedish mathematician, actuary, and statistician, specializing in mathematical statistics and probabilistic number theory.

Close friends with Godfrey Harold Hardy.

Nationality

Swedish

History

• Born: 25 September 1893 in Stockholm, Sweden
• Died: 5 October 1985 in Stockholm, Sweden

Theorems and Definitions

• Fréchet-Darmois-Cramér-Rao Inequality (also known as Cramér-Rao Inequality or Cramér-Rao Bound) (with Calyampudi Radhakrishna Rao, independently from Maurice René Fréchet and Georges Darmois)

• Cramér's Conjecture
• Cramér’s Decomposition Theorem
• Cramér's Inequality
• Cramér's Theorem (Large Deviations)
• Cramér-Wold Theorem (with Herman Ole Andreas Wold)
• Cramér-von Mises Criterion (with Richard Edler von Mises)
• Cramér-von Mises-Smirnov Criterion (with Richard Edler von Mises and Nikolai Vasilyevich Smirnov)

• Cramér Function of Large Deviations Theory
• Cramér's V

• Cramér-Wold Decomposition (with Herman Ole Andreas Wold)

Results named for Carl Harald Cramér can be found here.

Definitions of concepts named for Carl Harald Cramér can be found here.

Publications

• 1936: Über eine Eigenschaft der normalen Verteilungsfunktion (Math. Z. Vol. 41, no. 1: pp. 405 – 414)
• 1938: Sur un nouveau théorème-limite de la théorie des probabilités (Actualités Scientifiques et Industrielles Vol. 736: pp. 5 – 23)

• 1945: Mathematical Methods of Statistics

Also known as

Usually known as Harald Cramér.

Sources

• John J. O'Connor and Edmund F. Robertson: "Carl Harald Cramér": MacTutor History of Mathematics archive

• 1998: David Nelson: The Penguin Dictionary of Mathematics (2nd ed.) ... (previous) ... (next): Cramér, Harald (1893-1985)
• 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): Cramér, Harald (1893-1985)