Radically elementary probability theory:
Gespeichert in:
1. Verfasser: | |
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Format: | Buch |
Sprache: | English |
Veröffentlicht: |
Princeton, NJ
Princeton Univ. Press
1987
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Schriftenreihe: | Annals of mathematics studies
117 |
Schlagworte: | |
Online-Zugang: | Inhaltsverzeichnis |
Beschreibung: | IX, 97 S. Illustrationen |
ISBN: | 0691084734 0691084742 |
Internformat
MARC
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100 | 1 | |a Nelson, Edward |d 1932-2014 |e Verfasser |0 (DE-588)1089416067 |4 aut | |
245 | 1 | 0 | |a Radically elementary probability theory |c by Edward Nelson |
264 | 1 | |a Princeton, NJ |b Princeton Univ. Press |c 1987 | |
300 | |a IX, 97 S. |b Illustrationen | ||
336 | |b txt |2 rdacontent | ||
337 | |b n |2 rdamedia | ||
338 | |b nc |2 rdacarrier | ||
490 | 1 | |a Annals of mathematics studies |v 117 | |
650 | 7 | |a Martingalen |2 gtt | |
650 | 4 | |a Martingales (Mathématiques) | |
650 | 4 | |a Probabilidades | |
650 | 4 | |a Probabilités | |
650 | 4 | |a Processus stochastiques | |
650 | 7 | |a Stochastische processen |2 gtt | |
650 | 7 | |a Waarschijnlijkheidstheorie |2 gtt | |
650 | 4 | |a Martingales (Mathematics) | |
650 | 4 | |a Probabilities | |
650 | 4 | |a Stochastic processes | |
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Datensatz im Suchindex
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adam_text | Table of contents
Preface vii
Acknowledgments ix
1. Random variables 3
2. Algebras of random variables 6
3. Stochastic processes 10
4. External concepts 12
5. Infinitesimals 16
6. External analogues of internal notions 20
7. Properties that hold almost everywhere 25
8. L1 random variables 30
9. The decomposition of a stochastic process 33
10. The total variation of a process 37
11. Convergence of martingales 41
12. Fluctuations of martingales 48
13. Discontinuities of martingales 53
14. The Lindeberg condition 57
15. The maximum of a martingale 61
16. The law of large numbers 63
17. Nearly equivalent stochastic processes 72
18. The de Moivre Laplace Lindeberg Feller Wiener
Levy Doob Erdos Kac Donsker Prokhorov theorem 75
Appendix 80
Index 95
v
|
any_adam_object | 1 |
author | Nelson, Edward 1932-2014 |
author_GND | (DE-588)1089416067 |
author_facet | Nelson, Edward 1932-2014 |
author_role | aut |
author_sort | Nelson, Edward 1932-2014 |
author_variant | e n en |
building | Verbundindex |
bvnumber | BV000740566 |
callnumber-first | Q - Science |
callnumber-label | QA274 |
callnumber-raw | QA274.5 |
callnumber-search | QA274.5 |
callnumber-sort | QA 3274.5 |
callnumber-subject | QA - Mathematics |
classification_rvk | SI 830 SK 800 |
classification_tum | MAT 600f |
ctrlnum | (OCoLC)15591889 (DE-599)BVBBV000740566 |
dewey-full | 519.2 |
dewey-hundreds | 500 - Natural sciences and mathematics |
dewey-ones | 519 - Probabilities and applied mathematics |
dewey-raw | 519.2 |
dewey-search | 519.2 |
dewey-sort | 3519.2 |
dewey-tens | 510 - Mathematics |
discipline | Mathematik |
format | Book |
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id | DE-604.BV000740566 |
illustrated | Illustrated |
indexdate | 2024-07-09T15:18:42Z |
institution | BVB |
isbn | 0691084734 0691084742 |
language | English |
oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-000463638 |
oclc_num | 15591889 |
open_access_boolean | |
owner | DE-12 DE-91G DE-BY-TUM DE-739 DE-824 DE-92 DE-20 DE-19 DE-BY-UBM DE-29T DE-11 DE-188 DE-83 DE-384 DE-703 DE-355 DE-BY-UBR |
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physical | IX, 97 S. Illustrationen |
publishDate | 1987 |
publishDateSearch | 1987 |
publishDateSort | 1987 |
publisher | Princeton Univ. Press |
record_format | marc |
series | Annals of mathematics studies |
series2 | Annals of mathematics studies |
spelling | Nelson, Edward 1932-2014 Verfasser (DE-588)1089416067 aut Radically elementary probability theory by Edward Nelson Princeton, NJ Princeton Univ. Press 1987 IX, 97 S. Illustrationen txt rdacontent n rdamedia nc rdacarrier Annals of mathematics studies 117 Martingalen gtt Martingales (Mathématiques) Probabilidades Probabilités Processus stochastiques Stochastische processen gtt Waarschijnlijkheidstheorie gtt Martingales (Mathematics) Probabilities Stochastic processes Wahrscheinlichkeitsrechnung (DE-588)4064324-4 gnd rswk-swf Wahrscheinlichkeitstheorie (DE-588)4079013-7 gnd rswk-swf Grundlage (DE-588)4158388-7 gnd rswk-swf Wahrscheinlichkeitstheorie (DE-588)4079013-7 s Grundlage (DE-588)4158388-7 s DE-604 Wahrscheinlichkeitsrechnung (DE-588)4064324-4 s Annals of mathematics studies 117 (DE-604)BV000000991 117 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=000463638&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
spellingShingle | Nelson, Edward 1932-2014 Radically elementary probability theory Annals of mathematics studies Martingalen gtt Martingales (Mathématiques) Probabilidades Probabilités Processus stochastiques Stochastische processen gtt Waarschijnlijkheidstheorie gtt Martingales (Mathematics) Probabilities Stochastic processes Wahrscheinlichkeitsrechnung (DE-588)4064324-4 gnd Wahrscheinlichkeitstheorie (DE-588)4079013-7 gnd Grundlage (DE-588)4158388-7 gnd |
subject_GND | (DE-588)4064324-4 (DE-588)4079013-7 (DE-588)4158388-7 |
title | Radically elementary probability theory |
title_auth | Radically elementary probability theory |
title_exact_search | Radically elementary probability theory |
title_full | Radically elementary probability theory by Edward Nelson |
title_fullStr | Radically elementary probability theory by Edward Nelson |
title_full_unstemmed | Radically elementary probability theory by Edward Nelson |
title_short | Radically elementary probability theory |
title_sort | radically elementary probability theory |
topic | Martingalen gtt Martingales (Mathématiques) Probabilidades Probabilités Processus stochastiques Stochastische processen gtt Waarschijnlijkheidstheorie gtt Martingales (Mathematics) Probabilities Stochastic processes Wahrscheinlichkeitsrechnung (DE-588)4064324-4 gnd Wahrscheinlichkeitstheorie (DE-588)4079013-7 gnd Grundlage (DE-588)4158388-7 gnd |
topic_facet | Martingalen Martingales (Mathématiques) Probabilidades Probabilités Processus stochastiques Stochastische processen Waarschijnlijkheidstheorie Martingales (Mathematics) Probabilities Stochastic processes Wahrscheinlichkeitsrechnung Wahrscheinlichkeitstheorie Grundlage |
url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=000463638&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
volume_link | (DE-604)BV000000991 |
work_keys_str_mv | AT nelsonedward radicallyelementaryprobabilitytheory |