Extremes and Related Properties of Random Sequences and Processes

Language: English

Published by Springer-Verlag New York Inc., US, 2011

1461254515 / 9781461254515

Series: Book 5 of 160 - Springer Series in Statistics

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Classical Extreme Value Theory-the asymptotic distributional theory for maxima of independent, identically distributed random variables-may be regarded as roughly half a century old, even though its roots reach further back into mathematical antiquity. During this period of time it has found significant application-exemplified best perhaps by the book Statistics of Extremes by E. J. Gumbel-as well as a rather complete theoretical development. More recently, beginning with the work of G. S. Watson, S. M. Berman, R. M. Loynes, and H. Cramer, there has been a developing interest in the extension of the theory to include, first, dependent sequences and then continuous parameter stationary processes. The early activity proceeded in two directions-the extension of general theory to certain dependent sequences (e.g., Watson and Loynes), and the beginning of a detailed theory for stationary sequences (Berman) and continuous parameter processes (Cramer) in the normal case. In recent years both lines of development have been actively pursued. Softcover reprint of the original 1st ed. 1983.

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Title
Extremes and Related Properties of Random Sequences and Processes
Author
M. R. Leadbetter, H. Rootzen, G. Lindgren
Publisher
Springer-Verlag New York Inc., US
Publication year
2011
Condition
New
Binding
Paperback
Language
English
ISBN 10
1461254515
ISBN 13
9781461254515
Dimensions
15.5 x 2.03 x 23.5 cm
Series
Book 5 of 160: Springer Series in Statistics

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