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Sinopsis
<P>THIS BOOK PRESENTS A WIDE RANGE OF WELL-KNOWN AND LESS COMMON METHODS USED FOR ESTIMATING THE ACCURACY OF PROBABILISTIC APPROXIMATIONS, INCLUDING THE ESSEEN TYPE INVERSION FORMULAS, THE STEIN METHOD AS WELL AS THE METHODS OF CONVOLUTIONS AND TRIANGLE FUNCTION. EMPHASISING THE CORRECT USAGE OF THE METHODS PRESENTED, EACH STEP REQUIRED FOR THE PROOFS IS EXAMINED IN DETAIL. AS A RESULT, THIS TEXTBOOK PROVIDES VALUABLE TOOLS FOR PROVING APPROXIMATION THEOREMS.</P> <P>WHILE <I>APPROXIMATION METHODS IN PROBABILITY THEORY</I> WILL APPEAL TO EVERYONE INTERESTED IN LIMIT THEOREMS OF PROBABILITY THEORY, THE BOOK IS PARTICULARLY AIMED AT GRADUATE STUDENTS WHO HAVE COMPLETED A STANDARD INTERMEDIATE COURSE IN PROBABILITY THEORY. FURTHERMORE, EXPERIENCED RESEARCHERS WANTING TO ENLARGE THEIR TOOLKIT WILL ALSO FIND THIS BOOK USEFUL.</P>
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Críticas
“This book is designed for a Ph.D. level graduate course focusing on the various methods that can be employed to measure the accuracy of probability model approximations. ... laid out clearly, with very valuable bibliographical notes and detailed references at the end of each topic. Each chapter concludes with a set of problems. ... An additional study aid is the inclusion of boxed summaries giving typical applications for the given technique along with the advantages and drawbacks of the method.” (N. C. Weber, Mathematical Reviews, 2017)
“This book is an excellent starting point for those new to the area, and a useful reference for more experienced researchers. It brings together a wide range of techniques for probabilistic approximations in a way which is accessible to a reader with a modest background in probability. The presentation is user-friendly, giving the reader all that is needed to select and apply appropriate methods for a range of approximation problems.” (Fraser Daly, zbMATH 1345.60005, 2016)
Reseña del editor
This book presents a wide range of well-known and less common methods used for estimating the accuracy of probabilistic approximations, including the Esseen type inversion formulas, the Stein method as well as the methods of convolutions and triangle function. Emphasising the correct usage of the methods presented, each step required for the proofs is examined in detail. As a result, this textbook provides valuable tools for proving approximation theorems.
While Approximation Methods in Probability Theory will appeal to everyone interested in limit theorems of probability theory, the book is particularly aimed at graduate students who have completed a standard intermediate course in probability theory. Furthermore, experienced researchers wanting to enlarge their toolkit will also find this book useful.
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- EditorialSpringer
- Año de publicación2016
- ISBN 10 3319340719
- ISBN 13 9783319340715
- EncuadernaciónTapa blanda
- IdiomaInglés
- Número de edición1
- Número de páginas288
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Approximation Methods in Probability Theory (Universitext)
Librería: Books Puddle, New York, NY, Estados Unidos de America
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Approximation Methods in Probability Theory
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Springer International Publishing Jun 2016, 2016
ISBN 10: 3319340719
ISBN 13: 9783319340715
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Librería: BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, Alemania
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Taschenbuch. Condición: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -This book presents a wide range of well-known and less common methods used for estimating the accuracy of probabilistic approximations, including the Esseen type inversion formulas, the Stein method as well as the methods of convolutions and triangle function. Emphasising the correct usage of the methods presented, each step required for the proofs is examined in detail. As a result, this textbook provides valuable tools for proving approximation theorems.While Approximation Methods in Probability Theory will appeal to everyone interested in limit theorems of probability theory, the book is particularly aimed at graduate students who have completed a standard intermediate course in probability theory. Furthermore, experienced researchers wanting to enlarge their toolkit will also find this book useful. 288 pp. Englisch. Nº de ref. del artículo: 9783319340715
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Approximation Methods in Probability Theory (Universitext)
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Approximation Methods in Probability Theory
Publicado por
Springer International Publishing, 2016
ISBN 10: 3319340719
ISBN 13: 9783319340715
Nuevo
Taschenbuch
Librería: AHA-BUCH GmbH, Einbeck, Alemania
Calificación del vendedor: 5 de 5 estrellas
Taschenbuch. Condición: Neu. Druck auf Anfrage Neuware - Printed after ordering - This book presents a wide range of well-known and less common methods used for estimating the accuracy of probabilistic approximations, including the Esseen type inversion formulas, the Stein method as well as the methods of convolutions and triangle function. Emphasising the correct usage of the methods presented, each step required for the proofs is examined in detail. As a result, this textbook provides valuable tools for proving approximation theorems.While Approximation Methods in Probability Theory will appeal to everyone interested in limit theorems of probability theory, the book is particularly aimed at graduate students who have completed a standard intermediate course in probability theory. Furthermore, experienced researchers wanting to enlarge their toolkit will also find this book useful. Nº de ref. del artículo: 9783319340715
Cantidad disponible: 1 disponibles
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Approximation Methods in Probability Theory (Universitext)
Librería: Biblios, Frankfurt am main, HESSE, Alemania
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Approximation Methods in Probability Theory
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Springer International Publishing, 2016
ISBN 10: 3319340719
ISBN 13: 9783319340715
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Tapa blanda
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Condición: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Presents a unique collection of approximation methods in various metricsExplains the essential aspects of each method in detailIncludes many exercises with solutions as well as bibliographical notes. Nº de ref. del artículo: 119612024
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Approximation Methods in Probability Theory (Universitext)
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Approximation Methods in Probability Theory
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Approximation Methods in Probability Theory
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Approximation Methods in Probability Theory (Universitext)
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