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|a Embrechts, Paul,
|d 1953-
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|a Selfsimilar processes /
|c Paul Embrechts and Makoto Maejima.
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|a Princeton, N.J. :
|b Princeton University Press,
|c ©2002.
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|a 1 online resource (x, 111 pages) :
|b illustrations
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|a text
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|a Princeton series in applied mathematics
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|a Includes bibliographical references (pages 101-108) and index.
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|a Print version record.
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|a Contents; Preface; Chapter 1. Introduction; Chapter 2. Some Historical Background; Chapter 3. Selfsimilar Processes with Stationary Increments; Chapter 4. Fractional Brownian Motion; Chapter 5. Selfsimilar Processes with Independent Increments; Chapter 6. Sample Path Properties of Selfsimilar Stable Processes with Stationary Increments; Chapter 7. Simulation of Selfsimilar Processes; Chapter 8. Statistical Estimation; Chapter 9. Extensions; References; Index.
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|a The modeling of stochastic dependence is fundamental for understanding random systems evolving in time. When measured through linear correlation, many of these systems exhibit a slow correlation decay--a phenomenon often referred to as long-memory or long-range dependence. An example of this is the absolute returns of equity data in finance. Selfsimilar stochastic processes (particularly fractional Brownian motion) have long been postulated as a means to model this behavior, and the concept of selfsimilarity for a stochastic process is now proving to be extraordinarily useful. Selfsimilarity t.
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|a In English.
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|a JSTOR
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|a Self-similar processes.
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|a Distribution (Probability theory)
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|a Processus autosimilaires.
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|a Distribution (Théorie des probabilités)
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|a distribution (statistics-related concept)
|2 aat
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|a MATHEMATICS
|x Probability & Statistics
|x Stochastic Processes.
|2 bisacsh
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|a Distribution (Probability theory)
|2 fast
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|a Self-similar processes
|2 fast
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|a Maejima, Makoto.
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|i Print version:
|a Embrechts, Paul, 1953-
|t Selfsimilar processes.
|d Princeton, N.J. : Princeton University Press, ©2002
|z 0691096279
|w (DLC) 2002108314
|w (OCoLC)48837321
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|a Princeton series in applied mathematics.
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