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Beschreibung
The purpose of this book is to provide a sound introduction to the study of real-world phenomena that possess random variation. It describes how to set up and analyse models of real-life phenomena that involve elements of chance. Motivation comes from everyday experiences of probability, such as that of a dice or cards, the idea of fairness in games of chance, and the random ways in which, say, birthdays are shared or particular events arise.
Applications include branching processes, random walks, Markov chains, queues, renewal theory, and Brownian motion. This textbook contains many worked examples and several chapters have been updated and expanded for the second edition.
Some mathematical knowledge is assumed. The reader should have the ability to work with unions, intersections and complements of sets; a good facility with calculus, including integration, sequences and series; and appreciation of the logical development of an argument. Probability Modelsis designed to aid students studying probability as part of an undergraduate course on mathematics or mathematics and statistics.
Applications include branching processes, random walks, Markov chains, queues, renewal theory, and Brownian motion. This textbook contains many worked examples and several chapters have been updated and expanded for the second edition.
Some mathematical knowledge is assumed. The reader should have the ability to work with unions, intersections and complements of sets; a good facility with calculus, including integration, sequences and series; and appreciation of the logical development of an argument. Probability Modelsis designed to aid students studying probability as part of an undergraduate course on mathematics or mathematics and statistics.
The purpose of this book is to provide a sound introduction to the study of real-world phenomena that possess random variation. It describes how to set up and analyse models of real-life phenomena that involve elements of chance. Motivation comes from everyday experiences of probability, such as that of a dice or cards, the idea of fairness in games of chance, and the random ways in which, say, birthdays are shared or particular events arise.
Applications include branching processes, random walks, Markov chains, queues, renewal theory, and Brownian motion. This textbook contains many worked examples and several chapters have been updated and expanded for the second edition.
Some mathematical knowledge is assumed. The reader should have the ability to work with unions, intersections and complements of sets; a good facility with calculus, including integration, sequences and series; and appreciation of the logical development of an argument. Probability Modelsis designed to aid students studying probability as part of an undergraduate course on mathematics or mathematics and statistics.
Applications include branching processes, random walks, Markov chains, queues, renewal theory, and Brownian motion. This textbook contains many worked examples and several chapters have been updated and expanded for the second edition.
Some mathematical knowledge is assumed. The reader should have the ability to work with unions, intersections and complements of sets; a good facility with calculus, including integration, sequences and series; and appreciation of the logical development of an argument. Probability Modelsis designed to aid students studying probability as part of an undergraduate course on mathematics or mathematics and statistics.
Zusammenfassung
Very suitable for self-study
Provides many worked examples and exercises
Suitable for beginners; no prior knowledge of probability is needed
Includes supplementary material: [...]
Inhaltsverzeichnis
Probability Spaces.- Conditional Probability and Independence.- Common Probability Distributions.- Random Variables.- Sums of Random Variables.- Convergence and Limit Theorems.- Stochastic Processes in Discrete Time.- Stochastic Processes in Continuous Time.- Appendix: Common Distributions and Mathematical Facts.
Details
Erscheinungsjahr: | 2013 |
---|---|
Fachbereich: | Wahrscheinlichkeitstheorie |
Genre: | Mathematik |
Rubrik: | Naturwissenschaften & Technik |
Medium: | Taschenbuch |
Reihe: | Springer Undergraduate Mathematics Series |
Inhalt: |
xii
287 S. 17 s/w Illustr. 287 p. 17 illus. |
ISBN-13: | 9781447153429 |
ISBN-10: | 1447153421 |
Sprache: | Englisch |
Herstellernummer: | 86273480 |
Ausstattung / Beilage: | Paperback |
Einband: | Kartoniert / Broschiert |
Autor: | Haigh, John |
Auflage: | 2nd ed. 2013 |
Hersteller: |
Springer London
Springer-Verlag London Ltd. Springer Undergraduate Mathematics Series |
Maße: | 235 x 155 x 17 mm |
Von/Mit: | John Haigh |
Erscheinungsdatum: | 14.07.2013 |
Gewicht: | 0,458 kg |
Zusammenfassung
Very suitable for self-study
Provides many worked examples and exercises
Suitable for beginners; no prior knowledge of probability is needed
Includes supplementary material: [...]
Inhaltsverzeichnis
Probability Spaces.- Conditional Probability and Independence.- Common Probability Distributions.- Random Variables.- Sums of Random Variables.- Convergence and Limit Theorems.- Stochastic Processes in Discrete Time.- Stochastic Processes in Continuous Time.- Appendix: Common Distributions and Mathematical Facts.
Details
Erscheinungsjahr: | 2013 |
---|---|
Fachbereich: | Wahrscheinlichkeitstheorie |
Genre: | Mathematik |
Rubrik: | Naturwissenschaften & Technik |
Medium: | Taschenbuch |
Reihe: | Springer Undergraduate Mathematics Series |
Inhalt: |
xii
287 S. 17 s/w Illustr. 287 p. 17 illus. |
ISBN-13: | 9781447153429 |
ISBN-10: | 1447153421 |
Sprache: | Englisch |
Herstellernummer: | 86273480 |
Ausstattung / Beilage: | Paperback |
Einband: | Kartoniert / Broschiert |
Autor: | Haigh, John |
Auflage: | 2nd ed. 2013 |
Hersteller: |
Springer London
Springer-Verlag London Ltd. Springer Undergraduate Mathematics Series |
Maße: | 235 x 155 x 17 mm |
Von/Mit: | John Haigh |
Erscheinungsdatum: | 14.07.2013 |
Gewicht: | 0,458 kg |
Warnhinweis