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Sprache:
Englisch
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Beschreibung
Heavy-tailed probability distributions are an important component in the modeling of many stochastic systems. They are frequently used to accurately model inputs and outputs of computer and data networks and service facilities such as call centers. They are an essential for describing risk processes in finance and also for insurance premia pricing, and such distributions occur naturally in models of epidemiological spread. The class includes distributions with power law tails such as the Pareto, as well as the lognormal and certain Weibull distributions.
One of the highlights of this new edition is that it includes problems at the end of each chapter. Chapter 5 is also updated to include interesting applications to queueing theory, risk, and branching processes. New results are presented in a simple, coherent and systematic way.
Graduate students as well as modelers in the fields of finance, insurance, network science and environmental studies will find this book to be an essential reference.
One of the highlights of this new edition is that it includes problems at the end of each chapter. Chapter 5 is also updated to include interesting applications to queueing theory, risk, and branching processes. New results are presented in a simple, coherent and systematic way.
Graduate students as well as modelers in the fields of finance, insurance, network science and environmental studies will find this book to be an essential reference.
Heavy-tailed probability distributions are an important component in the modeling of many stochastic systems. They are frequently used to accurately model inputs and outputs of computer and data networks and service facilities such as call centers. They are an essential for describing risk processes in finance and also for insurance premia pricing, and such distributions occur naturally in models of epidemiological spread. The class includes distributions with power law tails such as the Pareto, as well as the lognormal and certain Weibull distributions.
One of the highlights of this new edition is that it includes problems at the end of each chapter. Chapter 5 is also updated to include interesting applications to queueing theory, risk, and branching processes. New results are presented in a simple, coherent and systematic way.
Graduate students as well as modelers in the fields of finance, insurance, network science and environmental studies will find this book to be an essential reference.
One of the highlights of this new edition is that it includes problems at the end of each chapter. Chapter 5 is also updated to include interesting applications to queueing theory, risk, and branching processes. New results are presented in a simple, coherent and systematic way.
Graduate students as well as modelers in the fields of finance, insurance, network science and environmental studies will find this book to be an essential reference.
Über den Autor
Sergey Foss is a professor at Heriot-Watt University, Edinburgh, UK. Dmitry Korshunov is a professor at the Sobolev Institute of Mathematics of the Russian Academy of Sciences, Novosibirsk, Russia. Stan Zachary is a professor at Heriot-Watt University, Edinburgh, UK.
Zusammenfassung
Provides a complete and comprehensive introduction to the theory of long tailed and subexponential distributions
Expanded text features new exercises and numerous examples
Includes preliminary mathematical material
Includes supplementary material: [...]
Inhaltsverzeichnis
Preface.- Introduction.- Heavy- and long-tailed distributions.- Subexponential distributions.- Densities and local probabilities.- Maximum of random walks.- References.- Index.
Details
| Erscheinungsjahr: | 2015 |
|---|---|
| Fachbereich: | Wahrscheinlichkeitstheorie |
| Genre: | Importe, Mathematik |
| Rubrik: | Naturwissenschaften & Technik |
| Medium: | Taschenbuch |
| Inhalt: |
xi
157 S. |
| ISBN-13: | 9781489988324 |
| ISBN-10: | 1489988327 |
| Sprache: | Englisch |
| Einband: | Kartoniert / Broschiert |
| Autor: |
Foss, Sergey
Korshunov, Dmitry Zachary, Stan |
| Auflage: | 2nd edition 2013 |
| Hersteller: |
Springer
Springer US, New York, N.Y. |
| Verantwortliche Person für die EU: | Springer Verlag GmbH, Tiergartenstr. 17, D-69121 Heidelberg, juergen.hartmann@springer.com |
| Maße: | 235 x 155 x 10 mm |
| Von/Mit: | Sergey Foss (u. a.) |
| Erscheinungsdatum: | 17.06.2015 |
| Gewicht: | 0,271 kg |