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Bücher Englische Bücher Wissen & Bildung Naturwissenschaft, Medizin, Informatik, Technik Mathematik Wahrscheinlichkeitstheorie & Statistik Extreme Values, Regular Variation and Point Processes
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Extreme Values, Regular Variation and Point Processes
Sidney I. Resnick (Unbekannter Einband, Englisch)
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Beschreibung
Extremes Values, Regular Variation and Point Processes is a readable and efficient account of the fundamental mathematical and stochastic process techniques needed to study the behavior of extreme values of phenomena based on independent and identically distributed random variables and vectors. It presents a coherent treatment of the distributional and sample path fundamental properties of… extremes and records. It emphasizes the core primacy of three topics necessary for understanding extremes: the analytical theory of regularly varying functions; the probabilistic theory of point processes and random measures; and the link to asymptotic distribution approximations provided by the theory of weak convergence of probability measures in metric spaces. The book is self-contained and requires an introductory measure-theoretic course in probability as a prerequisite. Almost all sections have an extensive list of exercises which extend developments in the text, offer alternate approaches, test mastery and provide for enjoyable muscle flexing by a reader. The material is aimed at students and researchers in probability, statistics, financial engineering, mathematics, operations research, civil engineering and economics who need to know about: asymptotic methods for extremes; models for records and record frequencies; stochastic process and point process methods and their applications to obtaining distributional approximations; pervasive applications of the theory of regular variation in probability theory, statistics and financial engineering. “This book is written in a very lucid way. The style is sober, the mathematics tone is pleasantly conversational, convincing and enthusiastic. A beautiful book!” Bulletin of the Dutch Mathematical Society “This monograph is written in a very attractive style. It contains a lot of complementary exercises and practically all important bibliographical reference.” Revue Roumaine deMathématiques Pures et Appliquées Dieses Produkt haben wir gerade leider nicht auf Lager.
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Technische Daten
Erscheinungsdatum
01.11.2007
Sprache
Englisch
EAN
9780387759524
Herausgeber
Springer US
Serien- oder Bandtitel
Springer Series in Operations Research and Financial Engineering
Sonderedition
Nein
Autor
Sidney I. Resnick
Seitenanzahl
320
Einbandart
Broschiert
Einbandart Details
Trade Paperback (US)
Schlagwörter
Karamata's Theorem, Laplace Functionals, Max-Infinite Divisibility, Multivariate Extremes, Poisson Processes, Skorohod Spaces, approximation, distribution, Mathematica, operations research, point process, Poisson process, probability, probability theory, random measure, Random variable, statistics, stochastic process, stochastic processes, Variation
Thema-Inhalt
PBT - Wahrscheinlichkeitsrechnung und Statistik
PBWL - Stochastik
PBWH - Mathematische Modellierung
TBJ - Mathematik für Ingenieure
PBKJ - Differentialrechnung und -gleichungen
Höhe
235 mm
Breite
15.5 cm
Hersteller: Springer New York, ProductSafety@springernature.com, Springer Nature Customer Service Center GmbH
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