Harald Cramér

Swedish mathematician (1893–1985)
Person human Q471777
Harald Cramér
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Harald Cramér

Summary

Harald Cramér is a human[1]. His place of birth was Stockholm[2]. He was born on September 25, 1893[3]. He passed away in Oscar Parish[4]. He died on October 5, 1985[5]. He worked as a mathematician[6], actuary[7], university teacher[8], and statistician[9]. He ranks in the top 0.72% of human entities by monthly Wikipedia readership (176 views/month, #7,249 of 1,000,298).[10]

Key Facts

  • Harald Cramér was born in Stockholm[2].
  • Born in Hedvig Eleonora parish[11], Harald Cramér…
  • Harald Cramér died in Oscar Parish[4].
  • Harald Cramér passed away in Stockholm[12].
  • Harald Cramér was born on September 25, 1893[3].
  • Harald Cramér died on October 5, 1985[5].
  • Harald Cramér is buried at Djursholms Begravningsplats[13].
  • A child of Harald Cramér was Tomas Cramér[14].
  • A child of Harald Cramér was Kim Cramér[15].
  • Harald Cramér held citizenship in Sweden[16].
  • Harald Cramér's professions included mathematician[6].
  • Harald Cramér's professions included actuary[7].
  • Harald Cramér worked as a university teacher[8].
  • Harald Cramér's professions included statistician[9].
  • Harald Cramér's field of work was probability theory[17].
  • Harald Cramér's field of work was mathematics[18].
  • Harald Cramér's field of work was statistics[19].
  • Harald Cramér's field of work was mathematical statistics[20].
  • Harald Cramér held the position of Q110293279[21].
  • Harald Cramér was employed by Stockholm University[22].
  • Harald Cramér's education included a stint at Stockholm University[23].
  • Harald Cramér's doctoral advisor was Marcel Riesz[24].
  • A notable work attributed to Harald Cramér is Cramér–Rao bound[25].
  • A notable work attributed to Harald Cramér is Cramér's conjecture[26].
  • A notable work attributed to Harald Cramér is Cramér's theorem[27].

Body

Origins and Family

Recorded place of birth include Stockholm[2], a city[28], in Sweden[29], founded in 1187[30] and Hedvig Eleonora parish[11], a parish of the Church of Sweden[31], in Sweden[32], founded in 1672[33]. Harald Cramér was born on September 25, 1893[3].

Education

Harald Cramér's education included a stint at Stockholm University[23]. His doctoral advisor was Marcel Riesz[24].

Career and Affiliations

Recorded occupations include mathematician[6], actuary[7], university teacher[8], and statistician[9]. Fields of work include probability theory[17], a branch of mathematics[34]; mathematics[18], an academic discipline[35]; statistics[19], an academic major[36]; and mathematical statistics[20], a branch of mathematics[37]. Harald Cramér was employed by Stockholm University[22]. He held the position of Q110293279[21]. Doctoral students include Chung Kai-lai[38], Herman Wold[39], Ulf Grenander[40], Gunnar Blom[41], Erik Ruist[42], and Olav Reiersøl[43].

Works and Contributions

Notable works include Cramér–Rao bound[25], Cramér's conjecture[26], Cramér's theorem[27], Cramér–Wold theorem[44], Cramér's theorem (large deviations)[45], and Cramér–von Mises criterion[46]. Things named for Harald Cramér include Cramér–Rao bound[47], an inequation[48]; Cramér's V[49], a mathematical concept[50]; Cramér's conjecture[51]; Cramér–von Mises criterion[52]; Cramér–Wold theorem[53]; and Cramér's theorem[54].

Recognition

Awards received include Fellow of the Institute of Mathematical Statistics[55]; honorary doctorate from Princeton University[56], an honorary degree[57], in United States[58]; honorary doctorate of the University of Copenhagen[59], an award[60], in Denmark[61]; honorary doctor of Stockholm University[62], an award[63], in Sweden[64]; Guy Medal in Gold[65], a class of award[66]; and doctor honoris causa from the Pierre and Marie Curie University[67], an award[68], in France[69].

Personal Life

Children include Tomas Cramér[14], a jurist[70], 1922–2019[71], of Sweden[72] and Kim Cramér[15], a physician[73].

Death and Burial

Harald Cramér died on October 5, 1985[5]. Recorded place of death include Oscar Parish[4], a parish of the Church of Sweden[74], in Sweden[75], founded in 1906[76] and Stockholm[12], a city[77], in Sweden[78], founded in 1187[79]. Burial took place at Djursholms Begravningsplats[13].

Why It Matters

Harald Cramér ranks in the top 0.72% of human entities by monthly Wikipedia readership (176 views/month, #7,249 of 1,000,298).[10] He has Wikipedia articles in 15 language editions, a strong signal of global cultural recognition.[80] He is known by 22 alternative names across languages and contexts.[81]

He is credited with the discovery of Cramér–Rao bound[82], an inequation[83]. Entities named for him include Cramér–Rao bound[47], an inequation[48]; Cramér's V[49], a mathematical concept[50]; Cramér's conjecture[51]; Cramér–von Mises criterion[52]; Cramér–Wold theorem[53]; and Cramér's theorem[54].

His notable doctoral advisees include Chung Kai-lai[84], a mathematician[85], 1917–2009[86], of United States[87], awarded the Fellow of the Institute of Mathematical Statistics[88], specialised in probability theory[89]; Herman Wold[90], a mathematician[91], 1908–1992[92], of Sweden[93], awarded the Fellow of the Econometric Society[94], specialised in probability theory[95]; and Ulf Grenander[96], a mathematician[97], 1923–2016[98], of Sweden[99], awarded the Guggenheim Fellowship[100], specialised in mathematical analysis[101].

FAQs

Where was Harald Cramér born?

Harald Cramér was born in Stockholm[2].

Where did Harald Cramér die?

Harald Cramér passed away in Oscar Parish[4].

What did Harald Cramér do for work?

Harald Cramér worked as mathematician[6], actuary[7], university teacher[8], and statistician[9].

Where did Harald Cramér go to school?

Harald Cramér was educated at Stockholm University[23].

What awards did Harald Cramér receive?

Honors received include Fellow of the Institute of Mathematical Statistics[55], honorary doctorate from Princeton University[56], honorary doctorate of the University of Copenhagen[59], and honorary doctor of Stockholm University[62].

What did Harald Cramér discover?

Harald Cramér is credited as discoverer of Cramér–Rao bound[82].

References

Programmatic citations — every numbered marker resolves to a verifiable graph row below.

Direct Wikidata claims

  1. [2] ↑ . wikidata.org.
  2. [11] ↑ . Swedish church birth records. Retrieved . sok.riksarkivet.se. Provenance: wikidata.org.
  3. [4] ↑ . wikidata.org.
  4. [12] ↑ . MacTutor History of Mathematics archive. wikidata.org.
  5. [16] ↑ . wikidata.org.
  6. [21] ↑ . projecteuclid.org. projecteuclid.org. Provenance: wikidata.org.
  7. [14] ↑ . Swedish church birth records. sok.riksarkivet.se. Provenance: wikidata.org.
  8. [15] ↑ . wikidata.org.
  9. [23] ↑ . MacTutor History of Mathematics archive. wikidata.org.
  10. [17] ↑ . wikidata.org.
  11. [18] ↑ . Czech National Authority Database. Retrieved . wikidata.org.
  12. [19] ↑ . Czech National Authority Database. Retrieved . wikidata.org.
  13. [20] ↑ . Czech National Authority Database. Retrieved . wikidata.org.
  14. [6] ↑ . wikidata.org.
  15. [7] ↑ . wikidata.org.
  16. [8] ↑ . wikidata.org.
  17. [9] ↑ . Czech National Authority Database. Retrieved . wikidata.org.
  18. [22] ↑ . projecteuclid.org. projecteuclid.org. Provenance: wikidata.org.
  19. [13] ↑ . finngraven.se. Retrieved . finngraven.se. Provenance: wikidata.org.
  20. [55] ↑ . Scientific Legacy Database. Retrieved . wikidata.org.
  21. [56] ↑ . wikidata.org.
  22. [59] ↑ . wikidata.org.
  23. [62] ↑ . wikidata.org.
  24. [65] ↑ . wikidata.org.
  25. [67] ↑ . wikidata.org.
  26. [24] ↑ . wikidata.org.
  27. [38] ↑ . Mathematics Genealogy Project. wikidata.org.
  28. [39] ↑ . Mathematics Genealogy Project. wikidata.org.
  29. [40] ↑ . Mathematics Genealogy Project. wikidata.org.
  30. [41] ↑ . Mathematics Genealogy Project. dn.se. Provenance: wikidata.org.
  31. [42] ↑ . Mathematics Genealogy Project. wikidata.org.
  32. [43] ↑ . Mathematics Genealogy Project. wikidata.org.
  33. [3] ↑ . BnF authorities. Retrieved . sok.riksarkivet.se. Provenance: wikidata.org.
  34. [5] ↑ . MacTutor History of Mathematics archive. Retrieved . wikidata.org.
  35. [25] ↑ . wikidata.org.
  36. [26] ↑ . wikidata.org.
  37. [27] ↑ . wikidata.org.
  38. [44] ↑ . wikidata.org.
  39. [45] ↑ . wikidata.org.
  40. [46] ↑ . wikidata.org.

Inverse relationships (entities pointing at this one)

  1. [82] ↑ . wikidata.org. → on this site
  2. [84] ↑ . wikidata.org. → on this site
  3. [90] ↑ . wikidata.org. → on this site
  4. [96] ↑ . wikidata.org. → on this site
  5. [47] ↑ . wikidata.org. → on this site
  6. [49] ↑ . wikidata.org. → on this site
  7. [51] ↑ . wikidata.org. → on this site
  8. [52] ↑ . wikidata.org. → on this site
  9. [53] ↑ . wikidata.org. → on this site
  10. [54] ↑ . wikidata.org. → on this site

Inline context (facts about related entities)

  1. [28] ↑ . Wikidata. wikidata.org. → on this site
  2. [29] ↑ . Wikidata. wikidata.org. → on this site
  3. [30] ↑ . Wikidata. wikidata.org. → on this site
  4. [31] ↑ . Wikidata. wikidata.org. → on this site
  5. [32] ↑ . Wikidata. wikidata.org. → on this site
  6. [33] ↑ . Wikidata. wikidata.org. → on this site
  7. [74] ↑ . Wikidata. wikidata.org. → on this site
  8. [75] ↑ . Wikidata. wikidata.org. → on this site
  9. [76] ↑ . Wikidata. wikidata.org. → on this site
  10. [77] ↑ . Wikidata. wikidata.org. → on this site
  11. [78] ↑ . Wikidata. wikidata.org. → on this site
  12. [79] ↑ . Wikidata. wikidata.org. → on this site
  13. [70] ↑ . Wikidata. wikidata.org. → on this site
  14. [71] ↑ . Wikidata. wikidata.org. → on this site
  15. [72] ↑ . Wikidata. wikidata.org. → on this site
  16. [73] ↑ . Wikidata. wikidata.org. → on this site
  17. [34] ↑ . Wikidata. wikidata.org. → on this site
  18. [35] ↑ . Wikidata. wikidata.org. → on this site
  19. [36] ↑ . Wikidata. wikidata.org. → on this site
  20. [37] ↑ . Wikidata. wikidata.org. → on this site
  21. [57] ↑ . Wikidata. wikidata.org. → on this site
  22. [58] ↑ . Wikidata. wikidata.org. → on this site
  23. [60] ↑ . Wikidata. wikidata.org. → on this site
  24. [61] ↑ . Wikidata. wikidata.org. → on this site
  25. [63] ↑ . Wikidata. wikidata.org. → on this site
  26. [64] ↑ . Wikidata. wikidata.org. → on this site
  27. [66] ↑ . Wikidata. wikidata.org. → on this site
  28. [68] ↑ . Wikidata. wikidata.org. → on this site
  29. [69] ↑ . Wikidata. wikidata.org. → on this site
  30. [83] ↑ . Wikidata. wikidata.org. → on this site
  31. [85] ↑ . Wikidata. wikidata.org. → on this site
  32. [86] ↑ . Wikidata. wikidata.org. → on this site
  33. [87] ↑ . Wikidata. wikidata.org. → on this site
  34. [88] ↑ . Wikidata. wikidata.org. → on this site
  35. [89] ↑ . Wikidata. wikidata.org. → on this site
  36. [91] ↑ . Wikidata. wikidata.org. → on this site
  37. [92] ↑ . Wikidata. wikidata.org. → on this site
  38. [93] ↑ . Wikidata. wikidata.org. → on this site
  39. [94] ↑ . Wikidata. wikidata.org. → on this site
  40. [95] ↑ . Wikidata. wikidata.org. → on this site
  41. [97] ↑ . Wikidata. wikidata.org. → on this site
  42. [98] ↑ . Wikidata. wikidata.org. → on this site
  43. [99] ↑ . Wikidata. wikidata.org. → on this site
  44. [100] ↑ . Wikidata. wikidata.org. → on this site
  45. [101] ↑ . Wikidata. wikidata.org. → on this site
  46. [48] ↑ . Wikidata. wikidata.org. → on this site
  47. [50] ↑ . Wikidata. wikidata.org. → on this site

Class ancestry

  1. [1] ↑ . Wikidata. wikidata.org.

Aggregate / graph-position facts

  1. [10] ↑ . Wikimedia Foundation. dumps.wikimedia.org.
  2. [80] ↑ . Wikidata sitelinks. wikidata.org.
  3. [81] ↑ . Wikidata aliases. wikidata.org.

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Use these citations when quoting this entity in research, articles, AI prompts, or wherever provenance matters. We aggregate Wikidata + Wikipedia + authoritative open-data sources; the stitched, scored, cross-referenced view is what 4ort.xyz contributes.

APA 4ort.xyz Knowledge Graph. (2026). Harald Cramér. Retrieved October 7, 2026, from https://4ort.xyz/entity/harald-cram-r
MLA “Harald Cramér.” 4ort.xyz Knowledge Graph, 4ort.xyz, 7 Oct. 2026, https://4ort.xyz/entity/harald-cram-r.
BibTeX @misc{4ortxyz_harald-cram-r_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{Harald Cramér}}, year = {2026}, url = {https://4ort.xyz/entity/harald-cram-r}, note = {Accessed: 2026-10-07}}
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Edit History

Rolling log of changes to this entity's Wikidata record. Values shown reflect the current state of each edited property — follow the history link to see the precise diff for any edit.

  1. 15m ago · Epìdosis · 2026-10-07 view diff on Wikidata ↗
    Sbn author id → AQ1V000429
    Wikipedia languages → ['ar', 'arz', 'azb', 'ca', 'commons', 'de', 'en', 'es', 'eu', 'fa', 'fr', 'he',
    Claims rich → —
    "/* wbcreateclaim-create:1| */ [[Property:P396]]: AQ1V000429, [[:toollabs:quickstatements/#/batch/289737|batch #289737]]"
  2. 21w ago · Magnus Manske · 2026-05-07 view diff on Wikidata ↗
    Described by source → Vem är det 1933, Vem är det 1943, Vem är Vem? Stockholm +6
    Given name → Harald
    Sex or gender → male
    Employer → —
    + 32 other properties edited (see Wikidata diff for full list)
    "/* wbcreateclaim-create:1| */ [[Property:P9984]]: 981061497095506706, [[:toollabs:quickstatements/#/batch/257405|batch #257405]]"
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