Probability Theory I:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
New York, NY
Springer New York
1977
|
| Ausgabe: | 4th Edition |
| Schriftenreihe: | Graduate Texts in Mathematics
45 |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | This fourth edition contains several additions. The main ones concern three closely related topics: Brownian motion, functional limit distributions, and random walks. Besides the power and ingenuity of their methods and the depth and beauty of their results, their importance is fast growing in Analysis as well as in theoretical and applied Probability. These additions increased the book to an unwieldy size and it had to be split into two volumes. About half of the first volume is devoted to an elementary introduction, then to mathematical foundations and basic probability concepts and tools. The second half is devoted to a detailed study of Independence which played and continues to playa central role both by itself and as a catalyst. The main additions consist of a section on convergence of probabilities on metric spaces and a chapter whose first section on domains of attraction completes the study of the Central limit problem, while the second one is devoted to random walks. About a third of the second volume is devoted to conditioning and properties of sequences of various types of dependence. The other two thirds are devoted to random functions; the last Part on Elements of random analysis is more sophisticated. The main addition consists of a chapter on Brownian motion and limit distributions |
| Beschreibung: | 1 Online-Ressource (XVIII, 428 p) |
| ISBN: | 9781468494648 9781468494662 |
| ISSN: | 0072-5285 |
| DOI: | 10.1007/978-1-4684-9464-8 |
Internformat
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| 500 | |a This fourth edition contains several additions. The main ones concern three closely related topics: Brownian motion, functional limit distributions, and random walks. Besides the power and ingenuity of their methods and the depth and beauty of their results, their importance is fast growing in Analysis as well as in theoretical and applied Probability. These additions increased the book to an unwieldy size and it had to be split into two volumes. About half of the first volume is devoted to an elementary introduction, then to mathematical foundations and basic probability concepts and tools. The second half is devoted to a detailed study of Independence which played and continues to playa central role both by itself and as a catalyst. The main additions consist of a section on convergence of probabilities on metric spaces and a chapter whose first section on domains of attraction completes the study of the Central limit problem, while the second one is devoted to random walks. About a third of the second volume is devoted to conditioning and properties of sequences of various types of dependence. The other two thirds are devoted to random functions; the last Part on Elements of random analysis is more sophisticated. The main addition consists of a chapter on Brownian motion and limit distributions | ||
| 650 | 4 | |a Mathematics | |
| 650 | 4 | |a Distribution (Probability theory) | |
| 650 | 4 | |a Probability Theory and Stochastic Processes | |
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Datensatz im Suchindex
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| dewey-full | 519.2 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 519 - Probabilities and applied mathematics |
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| dewey-search | 519.2 |
| dewey-sort | 3519.2 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1007/978-1-4684-9464-8 |
| edition | 4th Edition |
| format | Electronic eBook |
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| id | DE-604.BV042421227 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T01:21:08Z |
| institution | BVB |
| isbn | 9781468494648 9781468494662 |
| issn | 0072-5285 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-027856644 |
| oclc_num | 858017348 |
| open_access_boolean | |
| owner | DE-384 DE-703 DE-91 DE-BY-TUM DE-634 |
| owner_facet | DE-384 DE-703 DE-91 DE-BY-TUM DE-634 |
| physical | 1 Online-Ressource (XVIII, 428 p) |
| psigel | ZDB-2-SMA ZDB-2-BAE ZDB-2-SMA_Archive |
| publishDate | 1977 |
| publishDateSearch | 1977 |
| publishDateSort | 1977 |
| publisher | Springer New York |
| record_format | marc |
| series | Graduate Texts in Mathematics |
| series2 | Graduate Texts in Mathematics |
| spelling | Loève, Michel 1907-1979 Verfasser (DE-588)172229952 aut Probability Theory I by M. Loève 4th Edition New York, NY Springer New York 1977 1 Online-Ressource (XVIII, 428 p) txt rdacontent c rdamedia cr rdacarrier Graduate Texts in Mathematics 45 0072-5285 This fourth edition contains several additions. The main ones concern three closely related topics: Brownian motion, functional limit distributions, and random walks. Besides the power and ingenuity of their methods and the depth and beauty of their results, their importance is fast growing in Analysis as well as in theoretical and applied Probability. These additions increased the book to an unwieldy size and it had to be split into two volumes. About half of the first volume is devoted to an elementary introduction, then to mathematical foundations and basic probability concepts and tools. The second half is devoted to a detailed study of Independence which played and continues to playa central role both by itself and as a catalyst. The main additions consist of a section on convergence of probabilities on metric spaces and a chapter whose first section on domains of attraction completes the study of the Central limit problem, while the second one is devoted to random walks. About a third of the second volume is devoted to conditioning and properties of sequences of various types of dependence. The other two thirds are devoted to random functions; the last Part on Elements of random analysis is more sophisticated. The main addition consists of a chapter on Brownian motion and limit distributions Mathematics Distribution (Probability theory) Probability Theory and Stochastic Processes Mathematik Graduate Texts in Mathematics 45 (DE-604)BV035421258 45 https://doi.org/10.1007/978-1-4684-9464-8 Verlag Volltext |
| spellingShingle | Loève, Michel 1907-1979 Probability Theory I Graduate Texts in Mathematics Mathematics Distribution (Probability theory) Probability Theory and Stochastic Processes Mathematik |
| title | Probability Theory I |
| title_auth | Probability Theory I |
| title_exact_search | Probability Theory I |
| title_full | Probability Theory I by M. Loève |
| title_fullStr | Probability Theory I by M. Loève |
| title_full_unstemmed | Probability Theory I by M. Loève |
| title_short | Probability Theory I |
| title_sort | probability theory i |
| topic | Mathematics Distribution (Probability theory) Probability Theory and Stochastic Processes Mathematik |
| topic_facet | Mathematics Distribution (Probability theory) Probability Theory and Stochastic Processes Mathematik |
| url | https://doi.org/10.1007/978-1-4684-9464-8 |
| volume_link | (DE-604)BV035421258 |
| work_keys_str_mv | AT loevemichel probabilitytheoryi |