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Tempered stable distributions : stochastic models for multiscale processes / / by Michael Grabchak



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Autore: Grabchak Michael Visualizza persona
Titolo: Tempered stable distributions : stochastic models for multiscale processes / / by Michael Grabchak Visualizza cluster
Pubblicazione: Cham : , : Springer International Publishing : , : Imprint : Springer, , 2016
Edizione: 1st ed. 2016.
Descrizione fisica: 1 online resource (127 p.)
Disciplina: 519.24
Soggetto topico: Probabilities
Economics, Mathematical
Probability Theory and Stochastic Processes
Quantitative Finance
Note generali: Description based upon print version of record.
Nota di bibliografia: Includes bibliographical references and index.
Nota di contenuto: Introduction -- Preliminaries -- Tempered Stable Distributions -- Limit Theorems for Tempered Stable Distributions -- Multiscale Properties of Tempered Stable Levy Processes -- Parametric Classes -- Applications -- Epilogue -- References.
Sommario/riassunto: This brief is concerned with tempered stable distributions and their associated Levy processes. It is a good text for researchers interested in learning about tempered stable distributions. A tempered stable distribution is one which takes a stable distribution and modifies its tails to make them lighter. The motivation for this class comes from the fact that infinite variance stable distributions appear to provide a good fit to data in a variety of situations, but the extremely heavy tails of these models are not realistic for most real world applications. The idea of using distributions that modify the tails of stable models to make them lighter seems to have originated in the influential paper of Mantegna and Stanley (1994). Since then, these distributions have been extended and generalized in a variety of ways. They have been applied to a wide variety of areas including mathematical finance, biostatistics,computer science, and physics.
Titolo autorizzato: Tempered stable distributions  Visualizza cluster
ISBN: 3-319-24927-4
Formato: Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione: Inglese
Record Nr.: 9910254084003321
Lo trovi qui: Univ. Federico II
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Serie: SpringerBriefs in Mathematics, . 2191-8198