An Intermediate Course in Probability:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
New York, NY
Springer New York
1995
|
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | The purpose of this book is to provide the reader with a solid background and understanding of the basic results and methods in probability theory before entering into more advanced courses (in probability and/or statistics). The presentation is fairly thorough and detailed with many solved examples. Several examples are solved with different methods in order to illustrate their different levels of sophistication, their pros, and their cons. The motivation for this style of exposition is that experience has proved that the hard part in courses of this kind usually in the application of the results and methods; to know how, when, and where to apply what; and then, technically, to solve a given problem once one knows how to proceed. Exercises are spread out along the way, and every chapter ends with a large selection of problems. Chapters I through VI focus on some central areas of what might be called pure probability theory: multivariate random variables, conditioning, transforms, order variables, the multivariate normal distribution, and convergence. A final chapter is devoted to the Poisson process because of its fundamental role in the theory of stochastic processes, but also because it provides an excellent application of the results and methods acquired earlier in the book. As an extra bonus, several facts about this process, which are frequently more or less taken for granted, are thereby properly verified |
| Beschreibung: | 1 Online-Ressource (XIII, 278 p) |
| ISBN: | 9781475724318 9780387945071 |
| DOI: | 10.1007/978-1-4757-2431-8 |
Internformat
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| 500 | |a The purpose of this book is to provide the reader with a solid background and understanding of the basic results and methods in probability theory before entering into more advanced courses (in probability and/or statistics). The presentation is fairly thorough and detailed with many solved examples. Several examples are solved with different methods in order to illustrate their different levels of sophistication, their pros, and their cons. The motivation for this style of exposition is that experience has proved that the hard part in courses of this kind usually in the application of the results and methods; to know how, when, and where to apply what; and then, technically, to solve a given problem once one knows how to proceed. Exercises are spread out along the way, and every chapter ends with a large selection of problems. Chapters I through VI focus on some central areas of what might be called pure probability theory: multivariate random variables, conditioning, transforms, order variables, the multivariate normal distribution, and convergence. A final chapter is devoted to the Poisson process because of its fundamental role in the theory of stochastic processes, but also because it provides an excellent application of the results and methods acquired earlier in the book. As an extra bonus, several facts about this process, which are frequently more or less taken for granted, are thereby properly verified | ||
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Datensatz im Suchindex
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| dewey-ones | 519 - Probabilities and applied mathematics |
| dewey-raw | 519.5 |
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| discipline | Mathematik |
| doi_str_mv | 10.1007/978-1-4757-2431-8 |
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| spelling | Gut, Allan Verfasser aut An Intermediate Course in Probability by Allan Gut New York, NY Springer New York 1995 1 Online-Ressource (XIII, 278 p) txt rdacontent c rdamedia cr rdacarrier The purpose of this book is to provide the reader with a solid background and understanding of the basic results and methods in probability theory before entering into more advanced courses (in probability and/or statistics). The presentation is fairly thorough and detailed with many solved examples. Several examples are solved with different methods in order to illustrate their different levels of sophistication, their pros, and their cons. The motivation for this style of exposition is that experience has proved that the hard part in courses of this kind usually in the application of the results and methods; to know how, when, and where to apply what; and then, technically, to solve a given problem once one knows how to proceed. Exercises are spread out along the way, and every chapter ends with a large selection of problems. Chapters I through VI focus on some central areas of what might be called pure probability theory: multivariate random variables, conditioning, transforms, order variables, the multivariate normal distribution, and convergence. A final chapter is devoted to the Poisson process because of its fundamental role in the theory of stochastic processes, but also because it provides an excellent application of the results and methods acquired earlier in the book. As an extra bonus, several facts about this process, which are frequently more or less taken for granted, are thereby properly verified Statistics Distribution (Probability theory) Mathematical statistics Statistical Theory and Methods Probability Theory and Stochastic Processes Statistik Wahrscheinlichkeitstheorie (DE-588)4079013-7 gnd rswk-swf Wahrscheinlichkeitsrechnung (DE-588)4064324-4 gnd rswk-swf 1\p (DE-588)4123623-3 Lehrbuch gnd-content Wahrscheinlichkeitstheorie (DE-588)4079013-7 s 2\p DE-604 Wahrscheinlichkeitsrechnung (DE-588)4064324-4 s 3\p DE-604 https://doi.org/10.1007/978-1-4757-2431-8 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 |
| spellingShingle | Gut, Allan An Intermediate Course in Probability Statistics Distribution (Probability theory) Mathematical statistics Statistical Theory and Methods Probability Theory and Stochastic Processes Statistik Wahrscheinlichkeitstheorie (DE-588)4079013-7 gnd Wahrscheinlichkeitsrechnung (DE-588)4064324-4 gnd |
| subject_GND | (DE-588)4079013-7 (DE-588)4064324-4 (DE-588)4123623-3 |
| title | An Intermediate Course in Probability |
| title_auth | An Intermediate Course in Probability |
| title_exact_search | An Intermediate Course in Probability |
| title_full | An Intermediate Course in Probability by Allan Gut |
| title_fullStr | An Intermediate Course in Probability by Allan Gut |
| title_full_unstemmed | An Intermediate Course in Probability by Allan Gut |
| title_short | An Intermediate Course in Probability |
| title_sort | an intermediate course in probability |
| topic | Statistics Distribution (Probability theory) Mathematical statistics Statistical Theory and Methods Probability Theory and Stochastic Processes Statistik Wahrscheinlichkeitstheorie (DE-588)4079013-7 gnd Wahrscheinlichkeitsrechnung (DE-588)4064324-4 gnd |
| topic_facet | Statistics Distribution (Probability theory) Mathematical statistics Statistical Theory and Methods Probability Theory and Stochastic Processes Statistik Wahrscheinlichkeitstheorie Wahrscheinlichkeitsrechnung Lehrbuch |
| url | https://doi.org/10.1007/978-1-4757-2431-8 |
| work_keys_str_mv | AT gutallan anintermediatecourseinprobability |