Random variables and probability distributions:
This tract develops the purely mathematical side of the theory of probability, without reference to any applications. When originally published, it was one of the earliest works in the field built on the axiomatic foundations introduced by A. Kolmogoroff in his book Grundbegriffe der Wahrscheinlichk...
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Cambridge
Cambridge University Press
1970
|
| Ausgabe: | Third edition |
| Schriftenreihe: | Cambridge tracts in mathematics
36 |
| Schlagworte: | |
| Online-Zugang: | BSB01 FHN01 UBR01 URL des Erstveröffentlichers |
| Zusammenfassung: | This tract develops the purely mathematical side of the theory of probability, without reference to any applications. When originally published, it was one of the earliest works in the field built on the axiomatic foundations introduced by A. Kolmogoroff in his book Grundbegriffe der Wahrscheinlichkeitsrechnung, thus treating the subject as a branch of the theory of completely additive set functions. The author restricts himself to a consideration of probability distributions in spaces of a finite number of dimensions, and to problems connected with the Central Limit Theorem and some of its generalizations and modifications. In this edition the chapter on Liapounoff's theorem has been partly rewritten, and now includes a proof of the important inequality due to Berry and Esseen. The terminology has been modernized, and several minor changes have been made |
| Beschreibung: | 1 Online-Ressource (x, 118 Seiten) |
| ISBN: | 9780511470936 |
| DOI: | 10.1017/CBO9780511470936 |
Internformat
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| 246 | 1 | 3 | |a Random Variables & Probability Distributions |
| 250 | |a Third edition | ||
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| 490 | 0 | |a Cambridge tracts in mathematics |v 36 | |
| 520 | |a This tract develops the purely mathematical side of the theory of probability, without reference to any applications. When originally published, it was one of the earliest works in the field built on the axiomatic foundations introduced by A. Kolmogoroff in his book Grundbegriffe der Wahrscheinlichkeitsrechnung, thus treating the subject as a branch of the theory of completely additive set functions. The author restricts himself to a consideration of probability distributions in spaces of a finite number of dimensions, and to problems connected with the Central Limit Theorem and some of its generalizations and modifications. In this edition the chapter on Liapounoff's theorem has been partly rewritten, and now includes a proof of the important inequality due to Berry and Esseen. The terminology has been modernized, and several minor changes have been made | ||
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| 650 | 4 | |a Distribution (Probability theory) | |
| 650 | 4 | |a Random variables | |
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Datensatz im Suchindex
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| any_adam_object | |
| author | Cramér, Harald 1893-1985 |
| author_GND | (DE-588)119133415 |
| author_facet | Cramér, Harald 1893-1985 |
| author_role | aut |
| author_sort | Cramér, Harald 1893-1985 |
| author_variant | h c hc |
| building | Verbundindex |
| bvnumber | BV043942398 |
| classification_rvk | QH 170 SK 800 SK 820 |
| collection | ZDB-20-CBO |
| ctrlnum | (ZDB-20-CBO)CR9780511470936 (OCoLC)849884418 (DE-599)BVBBV043942398 |
| dewey-full | 519/.1 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 519 - Probabilities and applied mathematics |
| dewey-raw | 519/.1 |
| dewey-search | 519/.1 |
| dewey-sort | 3519 11 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik Wirtschaftswissenschaften |
| doi_str_mv | 10.1017/CBO9780511470936 |
| edition | Third edition |
| format | Electronic eBook |
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| id | DE-604.BV043942398 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:39:17Z |
| institution | BVB |
| isbn | 9780511470936 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-029351368 |
| oclc_num | 849884418 |
| open_access_boolean | |
| owner | DE-12 DE-92 DE-355 DE-BY-UBR |
| owner_facet | DE-12 DE-92 DE-355 DE-BY-UBR |
| physical | 1 Online-Ressource (x, 118 Seiten) |
| psigel | ZDB-20-CBO ZDB-20-CBO BSB_PDA_CBO ZDB-20-CBO FHN_PDA_CBO ZDB-20-CBO UBR Einzelkauf (Lückenergänzung CUP Serien 2018) |
| publishDate | 1970 |
| publishDateSearch | 1970 |
| publishDateSort | 1970 |
| publisher | Cambridge University Press |
| record_format | marc |
| series2 | Cambridge tracts in mathematics |
| spelling | Cramér, Harald 1893-1985 Verfasser (DE-588)119133415 aut Random variables and probability distributions by Harald Cramér Random Variables & Probability Distributions Third edition Cambridge Cambridge University Press 1970 1 Online-Ressource (x, 118 Seiten) txt rdacontent c rdamedia cr rdacarrier Cambridge tracts in mathematics 36 This tract develops the purely mathematical side of the theory of probability, without reference to any applications. When originally published, it was one of the earliest works in the field built on the axiomatic foundations introduced by A. Kolmogoroff in his book Grundbegriffe der Wahrscheinlichkeitsrechnung, thus treating the subject as a branch of the theory of completely additive set functions. The author restricts himself to a consideration of probability distributions in spaces of a finite number of dimensions, and to problems connected with the Central Limit Theorem and some of its generalizations and modifications. In this edition the chapter on Liapounoff's theorem has been partly rewritten, and now includes a proof of the important inequality due to Berry and Esseen. The terminology has been modernized, and several minor changes have been made Stochastic processes Distribution (Probability theory) Random variables Wahrscheinlichkeitsrechnung (DE-588)4064324-4 gnd rswk-swf Zufallsvariable (DE-588)4129514-6 gnd rswk-swf Wahrscheinlichkeitsverteilung (DE-588)4121894-2 gnd rswk-swf Wahrscheinlichkeitsrechnung (DE-588)4064324-4 s DE-604 Zufallsvariable (DE-588)4129514-6 s Wahrscheinlichkeitsverteilung (DE-588)4121894-2 s Erscheint auch als Druck-Ausgabe 978-0-521-07685-2 Erscheint auch als Druck-Ausgabe 978-0-521-60486-4 https://doi.org/10.1017/CBO9780511470936 Verlag URL des Erstveröffentlichers Volltext |
| spellingShingle | Cramér, Harald 1893-1985 Random variables and probability distributions Stochastic processes Distribution (Probability theory) Random variables Wahrscheinlichkeitsrechnung (DE-588)4064324-4 gnd Zufallsvariable (DE-588)4129514-6 gnd Wahrscheinlichkeitsverteilung (DE-588)4121894-2 gnd |
| subject_GND | (DE-588)4064324-4 (DE-588)4129514-6 (DE-588)4121894-2 |
| title | Random variables and probability distributions |
| title_alt | Random Variables & Probability Distributions |
| title_auth | Random variables and probability distributions |
| title_exact_search | Random variables and probability distributions |
| title_full | Random variables and probability distributions by Harald Cramér |
| title_fullStr | Random variables and probability distributions by Harald Cramér |
| title_full_unstemmed | Random variables and probability distributions by Harald Cramér |
| title_short | Random variables and probability distributions |
| title_sort | random variables and probability distributions |
| topic | Stochastic processes Distribution (Probability theory) Random variables Wahrscheinlichkeitsrechnung (DE-588)4064324-4 gnd Zufallsvariable (DE-588)4129514-6 gnd Wahrscheinlichkeitsverteilung (DE-588)4121894-2 gnd |
| topic_facet | Stochastic processes Distribution (Probability theory) Random variables Wahrscheinlichkeitsrechnung Zufallsvariable Wahrscheinlichkeitsverteilung |
| url | https://doi.org/10.1017/CBO9780511470936 |
| work_keys_str_mv | AT cramerharald randomvariablesandprobabilitydistributions AT cramerharald randomvariablesprobabilitydistributions |