Probability Theory, Random Processes and Mathematical Statistics:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Dordrecht
Springer Netherlands
1995
|
| Schriftenreihe: | Mathematics and Its Applications
344 |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | Probability Theory, Theory of Random Processes and Mathematical Statistics are important areas of modern mathematics and its applications. They develop rigorous models for a proper treatment for various 'random' phenomena which we encounter in the real world. They provide us with numerous tools for an analysis, prediction and, ultimately, control of random phenomena. Statistics itself helps with choice of a proper mathematical model (e.g., by estimation of unknown parameters) on the basis of statistical data collected by observations. This volume is intended to be a concise textbook for a graduate level course, with carefully selected topics representing the most important areas of modern Probability, Random Processes and Statistics. The first part (Ch. 1-3) can serve as a self-contained, elementary introduction to Probability, Random Processes and Statistics. It contains a number of relatively sim ple and typical examples of random phenomena which allow a natural introduction of general structures and methods. Only knowledge of elements of real/complex analysis, linear algebra and ordinary differential equations is required here. The second part (Ch. 4-6) provides a foundation of Stochastic Analysis, gives information on basic models of random processes and tools to study them. Here a familiarity with elements of functional analysis is necessary. Our intention to make this course fast-moving made it necessary to present important material in a form of examples |
| Beschreibung: | 1 Online-Ressource (XI, 259 p) |
| ISBN: | 9789401104494 9789401042017 |
| DOI: | 10.1007/978-94-011-0449-4 |
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| 500 | |a Probability Theory, Theory of Random Processes and Mathematical Statistics are important areas of modern mathematics and its applications. They develop rigorous models for a proper treatment for various 'random' phenomena which we encounter in the real world. They provide us with numerous tools for an analysis, prediction and, ultimately, control of random phenomena. Statistics itself helps with choice of a proper mathematical model (e.g., by estimation of unknown parameters) on the basis of statistical data collected by observations. This volume is intended to be a concise textbook for a graduate level course, with carefully selected topics representing the most important areas of modern Probability, Random Processes and Statistics. The first part (Ch. 1-3) can serve as a self-contained, elementary introduction to Probability, Random Processes and Statistics. It contains a number of relatively sim ple and typical examples of random phenomena which allow a natural introduction of general structures and methods. Only knowledge of elements of real/complex analysis, linear algebra and ordinary differential equations is required here. The second part (Ch. 4-6) provides a foundation of Stochastic Analysis, gives information on basic models of random processes and tools to study them. Here a familiarity with elements of functional analysis is necessary. Our intention to make this course fast-moving made it necessary to present important material in a form of examples | ||
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Datensatz im Suchindex
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| any_adam_object | |
| author | Rozanov, Yu. A. |
| author_facet | Rozanov, Yu. A. |
| author_role | aut |
| author_sort | Rozanov, Yu. A. |
| author_variant | y a r ya yar |
| building | Verbundindex |
| bvnumber | BV042423821 |
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| dewey-full | 519.5 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 519 - Probabilities and applied mathematics |
| dewey-raw | 519.5 |
| dewey-search | 519.5 |
| dewey-sort | 3519.5 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1007/978-94-011-0449-4 |
| format | Electronic eBook |
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| illustrated | Not Illustrated |
| indexdate | 2024-07-10T01:21:14Z |
| institution | BVB |
| isbn | 9789401104494 9789401042017 |
| language | English |
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| spelling | Rozanov, Yu. A. Verfasser aut Probability Theory, Random Processes and Mathematical Statistics by Yu. A. Rozanov Dordrecht Springer Netherlands 1995 1 Online-Ressource (XI, 259 p) txt rdacontent c rdamedia cr rdacarrier Mathematics and Its Applications 344 Probability Theory, Theory of Random Processes and Mathematical Statistics are important areas of modern mathematics and its applications. They develop rigorous models for a proper treatment for various 'random' phenomena which we encounter in the real world. They provide us with numerous tools for an analysis, prediction and, ultimately, control of random phenomena. Statistics itself helps with choice of a proper mathematical model (e.g., by estimation of unknown parameters) on the basis of statistical data collected by observations. This volume is intended to be a concise textbook for a graduate level course, with carefully selected topics representing the most important areas of modern Probability, Random Processes and Statistics. The first part (Ch. 1-3) can serve as a self-contained, elementary introduction to Probability, Random Processes and Statistics. It contains a number of relatively sim ple and typical examples of random phenomena which allow a natural introduction of general structures and methods. Only knowledge of elements of real/complex analysis, linear algebra and ordinary differential equations is required here. The second part (Ch. 4-6) provides a foundation of Stochastic Analysis, gives information on basic models of random processes and tools to study them. Here a familiarity with elements of functional analysis is necessary. Our intention to make this course fast-moving made it necessary to present important material in a form of examples Statistics Functional analysis Differential Equations Statistics, general Functional Analysis Mathematical Modeling and Industrial Mathematics Ordinary Differential Equations Statistik Stochastischer Prozess (DE-588)4057630-9 gnd rswk-swf Statistik (DE-588)4056995-0 gnd rswk-swf Wahrscheinlichkeitstheorie (DE-588)4079013-7 gnd rswk-swf Wahrscheinlichkeitsrechnung (DE-588)4064324-4 gnd rswk-swf 1\p (DE-588)4151278-9 Einführung gnd-content Stochastischer Prozess (DE-588)4057630-9 s Statistik (DE-588)4056995-0 s 2\p DE-604 Wahrscheinlichkeitsrechnung (DE-588)4064324-4 s 3\p DE-604 Wahrscheinlichkeitstheorie (DE-588)4079013-7 s 4\p DE-604 https://doi.org/10.1007/978-94-011-0449-4 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 3\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 4\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Rozanov, Yu. A. Probability Theory, Random Processes and Mathematical Statistics Statistics Functional analysis Differential Equations Statistics, general Functional Analysis Mathematical Modeling and Industrial Mathematics Ordinary Differential Equations Statistik Stochastischer Prozess (DE-588)4057630-9 gnd Statistik (DE-588)4056995-0 gnd Wahrscheinlichkeitstheorie (DE-588)4079013-7 gnd Wahrscheinlichkeitsrechnung (DE-588)4064324-4 gnd |
| subject_GND | (DE-588)4057630-9 (DE-588)4056995-0 (DE-588)4079013-7 (DE-588)4064324-4 (DE-588)4151278-9 |
| title | Probability Theory, Random Processes and Mathematical Statistics |
| title_auth | Probability Theory, Random Processes and Mathematical Statistics |
| title_exact_search | Probability Theory, Random Processes and Mathematical Statistics |
| title_full | Probability Theory, Random Processes and Mathematical Statistics by Yu. A. Rozanov |
| title_fullStr | Probability Theory, Random Processes and Mathematical Statistics by Yu. A. Rozanov |
| title_full_unstemmed | Probability Theory, Random Processes and Mathematical Statistics by Yu. A. Rozanov |
| title_short | Probability Theory, Random Processes and Mathematical Statistics |
| title_sort | probability theory random processes and mathematical statistics |
| topic | Statistics Functional analysis Differential Equations Statistics, general Functional Analysis Mathematical Modeling and Industrial Mathematics Ordinary Differential Equations Statistik Stochastischer Prozess (DE-588)4057630-9 gnd Statistik (DE-588)4056995-0 gnd Wahrscheinlichkeitstheorie (DE-588)4079013-7 gnd Wahrscheinlichkeitsrechnung (DE-588)4064324-4 gnd |
| topic_facet | Statistics Functional analysis Differential Equations Statistics, general Functional Analysis Mathematical Modeling and Industrial Mathematics Ordinary Differential Equations Statistik Stochastischer Prozess Wahrscheinlichkeitstheorie Wahrscheinlichkeitsrechnung Einführung |
| url | https://doi.org/10.1007/978-94-011-0449-4 |
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