Probability theory, an analytic view:
This book is intended for graduate students who have a good undergraduate introduction to probability theory, a reasonably sophisticated introduction to modern analysis, and who now want to learn what these two topics have to say about each other. By modern standards, the topics treated here are cla...
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Cambridge [u.a.]
Cambridge Univ. Press
1993
|
| Ausgabe: | 1. publ. |
| Schlagworte: | |
| Zusammenfassung: | This book is intended for graduate students who have a good undergraduate introduction to probability theory, a reasonably sophisticated introduction to modern analysis, and who now want to learn what these two topics have to say about each other. By modern standards, the topics treated here are classical and the techniques used far-ranging. No attempt has been made to present the subject as a monolithic structure resting on a few basic principles The first part of the book deals with independent random variables, Central Limit phenomena, the general theory of weak convergence and several of its applications, as well as elements of both the Gaussian and Markovian theory of measures on function space. The introduction of conditional expectation values is postponed until the second part of the book, where it is applied to the study of martingales This section also explores the connection between martingales and various aspects of classical analysis, and the connections between Wiener's measure and classical potential theory. Although the book is primarily intended for students and practitioners of probability theory and analysis, it will also be a valuable reference for those in fields as diverse as physics, engineering, and economics |
| Beschreibung: | XVI, 512 S. |
| ISBN: | 0521431239 |
Internformat
MARC
| LEADER | 00000nam a2200000 c 4500 | ||
|---|---|---|---|
| 001 | BV009522214 | ||
| 003 | DE-604 | ||
| 005 | 20230126 | ||
| 007 | t | ||
| 008 | 940408s1993 |||| 00||| eng d | ||
| 020 | |a 0521431239 |9 0-521-43123-9 | ||
| 035 | |a (OCoLC)26932565 | ||
| 035 | |a (DE-599)BVBBV009522214 | ||
| 040 | |a DE-604 |b ger |e rakwb | ||
| 041 | 0 | |a eng | |
| 049 | |a DE-12 |a DE-355 |a DE-824 |a DE-19 |a DE-91G |a DE-20 |a DE-188 | ||
| 050 | 0 | |a QA273 | |
| 082 | 0 | |a 519.2 |2 20 | |
| 084 | |a SK 800 |0 (DE-625)143256: |2 rvk | ||
| 084 | |a MAT 600f |2 stub | ||
| 100 | 1 | |a Stroock, Daniel W. |d 1940- |e Verfasser |0 (DE-588)130519561 |4 aut | |
| 245 | 1 | 0 | |a Probability theory, an analytic view |c Daniel W. Stroock |
| 250 | |a 1. publ. | ||
| 264 | 1 | |a Cambridge [u.a.] |b Cambridge Univ. Press |c 1993 | |
| 300 | |a XVI, 512 S. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 520 | 3 | |a This book is intended for graduate students who have a good undergraduate introduction to probability theory, a reasonably sophisticated introduction to modern analysis, and who now want to learn what these two topics have to say about each other. By modern standards, the topics treated here are classical and the techniques used far-ranging. No attempt has been made to present the subject as a monolithic structure resting on a few basic principles | |
| 520 | |a The first part of the book deals with independent random variables, Central Limit phenomena, the general theory of weak convergence and several of its applications, as well as elements of both the Gaussian and Markovian theory of measures on function space. The introduction of conditional expectation values is postponed until the second part of the book, where it is applied to the study of martingales | ||
| 520 | |a This section also explores the connection between martingales and various aspects of classical analysis, and the connections between Wiener's measure and classical potential theory. Although the book is primarily intended for students and practitioners of probability theory and analysis, it will also be a valuable reference for those in fields as diverse as physics, engineering, and economics | ||
| 650 | 4 | |a Probabilités | |
| 650 | 7 | |a Waarschijnlijkheidstheorie |2 gtt | |
| 650 | 4 | |a Probabilities | |
| 650 | 0 | 7 | |a Wahrscheinlichkeitstheorie |0 (DE-588)4079013-7 |2 gnd |9 rswk-swf |
| 655 | 7 | |8 1\p |0 (DE-588)4123623-3 |a Lehrbuch |2 gnd-content | |
| 689 | 0 | 0 | |a Wahrscheinlichkeitstheorie |0 (DE-588)4079013-7 |D s |
| 689 | 0 | |5 DE-604 | |
| 999 | |a oai:aleph.bib-bvb.de:BVB01-006287430 | ||
| 883 | 1 | |8 1\p |a cgwrk |d 20201028 |q DE-101 |u https://d-nb.info/provenance/plan#cgwrk | |
Datensatz im Suchindex
| _version_ | 1804123858643451904 |
|---|---|
| any_adam_object | |
| author | Stroock, Daniel W. 1940- |
| author_GND | (DE-588)130519561 |
| author_facet | Stroock, Daniel W. 1940- |
| author_role | aut |
| author_sort | Stroock, Daniel W. 1940- |
| author_variant | d w s dw dws |
| building | Verbundindex |
| bvnumber | BV009522214 |
| callnumber-first | Q - Science |
| callnumber-label | QA273 |
| callnumber-raw | QA273 |
| callnumber-search | QA273 |
| callnumber-sort | QA 3273 |
| callnumber-subject | QA - Mathematics |
| classification_rvk | SK 800 |
| classification_tum | MAT 600f |
| ctrlnum | (OCoLC)26932565 (DE-599)BVBBV009522214 |
| 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 |
| edition | 1. publ. |
| format | Book |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>02655nam a2200445 c 4500</leader><controlfield tag="001">BV009522214</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">20230126 </controlfield><controlfield tag="007">t</controlfield><controlfield tag="008">940408s1993 |||| 00||| eng d</controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">0521431239</subfield><subfield code="9">0-521-43123-9</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)26932565</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV009522214</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield><subfield code="e">rakwb</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-12</subfield><subfield code="a">DE-355</subfield><subfield code="a">DE-824</subfield><subfield code="a">DE-19</subfield><subfield code="a">DE-91G</subfield><subfield code="a">DE-20</subfield><subfield code="a">DE-188</subfield></datafield><datafield tag="050" ind1=" " ind2="0"><subfield code="a">QA273</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">519.2</subfield><subfield code="2">20</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">SK 800</subfield><subfield code="0">(DE-625)143256:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">MAT 600f</subfield><subfield code="2">stub</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Stroock, Daniel W.</subfield><subfield code="d">1940-</subfield><subfield code="e">Verfasser</subfield><subfield code="0">(DE-588)130519561</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Probability theory, an analytic view</subfield><subfield code="c">Daniel W. Stroock</subfield></datafield><datafield tag="250" ind1=" " ind2=" "><subfield code="a">1. publ.</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Cambridge [u.a.]</subfield><subfield code="b">Cambridge Univ. Press</subfield><subfield code="c">1993</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">XVI, 512 S.</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="b">n</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="b">nc</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="520" ind1="3" ind2=" "><subfield code="a">This book is intended for graduate students who have a good undergraduate introduction to probability theory, a reasonably sophisticated introduction to modern analysis, and who now want to learn what these two topics have to say about each other. By modern standards, the topics treated here are classical and the techniques used far-ranging. No attempt has been made to present the subject as a monolithic structure resting on a few basic principles</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="a">The first part of the book deals with independent random variables, Central Limit phenomena, the general theory of weak convergence and several of its applications, as well as elements of both the Gaussian and Markovian theory of measures on function space. The introduction of conditional expectation values is postponed until the second part of the book, where it is applied to the study of martingales</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="a">This section also explores the connection between martingales and various aspects of classical analysis, and the connections between Wiener's measure and classical potential theory. Although the book is primarily intended for students and practitioners of probability theory and analysis, it will also be a valuable reference for those in fields as diverse as physics, engineering, and economics</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Probabilités</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Waarschijnlijkheidstheorie</subfield><subfield code="2">gtt</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Probabilities</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Wahrscheinlichkeitstheorie</subfield><subfield code="0">(DE-588)4079013-7</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="655" ind1=" " ind2="7"><subfield code="8">1\p</subfield><subfield code="0">(DE-588)4123623-3</subfield><subfield code="a">Lehrbuch</subfield><subfield code="2">gnd-content</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Wahrscheinlichkeitstheorie</subfield><subfield code="0">(DE-588)4079013-7</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="999" ind1=" " ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-006287430</subfield></datafield><datafield tag="883" ind1="1" ind2=" "><subfield code="8">1\p</subfield><subfield code="a">cgwrk</subfield><subfield code="d">20201028</subfield><subfield code="q">DE-101</subfield><subfield code="u">https://d-nb.info/provenance/plan#cgwrk</subfield></datafield></record></collection> |
| genre | 1\p (DE-588)4123623-3 Lehrbuch gnd-content |
| genre_facet | Lehrbuch |
| id | DE-604.BV009522214 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T17:36:27Z |
| institution | BVB |
| isbn | 0521431239 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-006287430 |
| oclc_num | 26932565 |
| open_access_boolean | |
| owner | DE-12 DE-355 DE-BY-UBR DE-824 DE-19 DE-BY-UBM DE-91G DE-BY-TUM DE-20 DE-188 |
| owner_facet | DE-12 DE-355 DE-BY-UBR DE-824 DE-19 DE-BY-UBM DE-91G DE-BY-TUM DE-20 DE-188 |
| physical | XVI, 512 S. |
| publishDate | 1993 |
| publishDateSearch | 1993 |
| publishDateSort | 1993 |
| publisher | Cambridge Univ. Press |
| record_format | marc |
| spelling | Stroock, Daniel W. 1940- Verfasser (DE-588)130519561 aut Probability theory, an analytic view Daniel W. Stroock 1. publ. Cambridge [u.a.] Cambridge Univ. Press 1993 XVI, 512 S. txt rdacontent n rdamedia nc rdacarrier This book is intended for graduate students who have a good undergraduate introduction to probability theory, a reasonably sophisticated introduction to modern analysis, and who now want to learn what these two topics have to say about each other. By modern standards, the topics treated here are classical and the techniques used far-ranging. No attempt has been made to present the subject as a monolithic structure resting on a few basic principles The first part of the book deals with independent random variables, Central Limit phenomena, the general theory of weak convergence and several of its applications, as well as elements of both the Gaussian and Markovian theory of measures on function space. The introduction of conditional expectation values is postponed until the second part of the book, where it is applied to the study of martingales This section also explores the connection between martingales and various aspects of classical analysis, and the connections between Wiener's measure and classical potential theory. Although the book is primarily intended for students and practitioners of probability theory and analysis, it will also be a valuable reference for those in fields as diverse as physics, engineering, and economics Probabilités Waarschijnlijkheidstheorie gtt Probabilities Wahrscheinlichkeitstheorie (DE-588)4079013-7 gnd rswk-swf 1\p (DE-588)4123623-3 Lehrbuch gnd-content Wahrscheinlichkeitstheorie (DE-588)4079013-7 s DE-604 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Stroock, Daniel W. 1940- Probability theory, an analytic view Probabilités Waarschijnlijkheidstheorie gtt Probabilities Wahrscheinlichkeitstheorie (DE-588)4079013-7 gnd |
| subject_GND | (DE-588)4079013-7 (DE-588)4123623-3 |
| title | Probability theory, an analytic view |
| title_auth | Probability theory, an analytic view |
| title_exact_search | Probability theory, an analytic view |
| title_full | Probability theory, an analytic view Daniel W. Stroock |
| title_fullStr | Probability theory, an analytic view Daniel W. Stroock |
| title_full_unstemmed | Probability theory, an analytic view Daniel W. Stroock |
| title_short | Probability theory, an analytic view |
| title_sort | probability theory an analytic view |
| topic | Probabilités Waarschijnlijkheidstheorie gtt Probabilities Wahrscheinlichkeitstheorie (DE-588)4079013-7 gnd |
| topic_facet | Probabilités Waarschijnlijkheidstheorie Probabilities Wahrscheinlichkeitstheorie Lehrbuch |
| work_keys_str_mv | AT stroockdanielw probabilitytheoryananalyticview |