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The canonical way to establish the central limit theorem for i.i.d. random variables is to use characteristic functions and Lévy’s continuity theorem. This monograph focuses on this characteristic function approach and presents a renormalization theory called mod-? convergence. This type of convergence is a relatively new concept with many deep ramifications, and has not previously been published in a single accessible volume. The authors construct an extremely flexible framework using this concept in order to study limit theorems and large deviations for a number of probabilistic models related to classical probability, combinatorics, non-commutative random variables, as well as geometric and number-theoretical objects.
Intended for researchers in probability theory, the text is carefully well-written and well-structured, containing a great amount of detail and interesting examples.
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Recensione
“The book is well written and mathematically rigorous. They authors collect a large variety of results and try to parallel the theory with applications and they do this rather successfully. It may become a standard reference for researchers working on the topic of central limit theorems and large deviation. ... this is a useful book for a researcher in probability theory and mathematical statistics. It is very carefully written and collects many new results.” (Nikolai N. Leonenko, zbMATH 1387.60003, 2018)
“This beautiful book (together with other publications by these authors) opens a new way of proving limit theorems in probability theory and related areas such as probabilistic number theory, combinatorics, and statistical mechanics. It will be useful to researchers in these and many other areas.” (Zakhar Kabluchko, Mathematical Reviews, September, 2017)
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Mod-¿ Convergence : Normality Zones and Precise Deviations
Editore:
Springer International Publishing, 2016
ISBN 10: 3319468219
ISBN 13: 9783319468211
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Da: Buchpark, Trebbin, Germania
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Condizione: Sehr gut. Zustand: Sehr gut | Seiten: 164 | Sprache: Englisch | Produktart: Bücher. Codice articolo 27116368/2
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Mod-¿ Convergence
Editore:
Springer International Publishing Dez 2016, 2016
ISBN 10: 3319468219
ISBN 13: 9783319468211
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Taschenbuch
Da: BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, Germania
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Taschenbuch. Condizione: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -The canonical way to establish the central limit theorem for i.i.d. random variables is to use characteristic functions and Lévy's continuity theorem. This monograph focuses on this characteristic function approach and presents a renormalization theory called mod- convergence. This type of convergence is a relatively new concept with many deep ramifications, and has not previously been published in a single accessible volume. The authors construct an extremely flexible framework using this concept in order to study limit theorems and large deviations for a number of probabilistic models related to classical probability, combinatorics, non-commutative random variables, as well as geometric and number-theoretical objects.Intended for researchers in probability theory, the text is carefully well-written and well-structured, containing a great amount of detail and interesting examples. 164 pp. Englisch. Codice articolo 9783319468211
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Mod-¿ Convergence
Editore:
Springer International Publishing, 2016
ISBN 10: 3319468219
ISBN 13: 9783319468211
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Da: moluna, Greven, Germania
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Condizione: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. First of its kind publication detailing the mod-? convergence methodWritten by leading experts in probability theoryProvides a large number of new resultsIncludes new e. Codice articolo 129013535
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Mod-? Convergence: Normality Zones and Precise Deviations (SpringerBriefs in Probability and Mathematical Statistics)
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Mod- Convergence : Normality Zones and Precise Deviations
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Mod- Convergence : Normality Zones and Precise Deviations
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Mod-¿ Convergence : Normality Zones and Precise Deviations
ISBN 10: 3319468219
ISBN 13: 9783319468211
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Da: AHA-BUCH GmbH, Einbeck, Germania
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Taschenbuch. Condizione: Neu. Druck auf Anfrage Neuware - Printed after ordering - The canonical way to establish the central limit theorem for i.i.d. random variables is to use characteristic functions and Lévy's continuity theorem. This monograph focuses on this characteristic function approach and presents a renormalization theory called mod- convergence. This type of convergence is a relatively new concept with many deep ramifications, and has not previously been published in a single accessible volume. The authors construct an extremely flexible framework using this concept in order to study limit theorems and large deviations for a number of probabilistic models related to classical probability, combinatorics, non-commutative random variables, as well as geometric and number-theoretical objects.Intended for researchers in probability theory, the text is carefully well-written and well-structured, containing a great amount of detail and interesting examples. Codice articolo 9783319468211
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Mod-¿ Convergence
ISBN 10: 3319468219
ISBN 13: 9783319468211
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Da: buchversandmimpf2000, Emtmannsberg, BAYE, Germania
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Taschenbuch. Condizione: Neu. This item is printed on demand - Print on Demand Titel. Neuware -The canonical way to establish the central limit theorem for i.i.d. random variables is to use characteristic functions and Lévy¿s continuity theorem. This monograph focuses on this characteristic function approach and presents a renormalization theory called mod-¿ convergence. This type of convergence is a relatively new concept with many deep ramifications, and has not previously been published in a single accessible volume. The authors construct an extremely flexible framework using this concept in order to study limit theorems and large deviations for a number of probabilistic models related to classical probability, combinatorics, non-commutative random variables, as well as geometric and number-theoretical objects.Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 164 pp. Englisch. Codice articolo 9783319468211
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Mod- Convergence : Normality Zones and Precise Deviations
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Mod- Convergence : Normality Zones and Precise Deviations
Da: Chiron Media, Wallingford, Regno Unito
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PF. Condizione: New. Codice articolo 6666-IUK-9783319468211
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