Extremes and Related Properties of Random Sequences and Processes (Springer Series in Statistics)

Leadbetter, M. R.; Lindgren, G.; Rootzen, H.

ISBN 10: 1461254515 / ISBN 13: 9781461254515

Published by Springer, 2011

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Bibliographic Details

• Title: Extremes and Related Properties of Random Sequences and Processes (Springer Series in Statistics)
• Publisher: Springer
• Publication Date: 2011
• Language: English
• ISBN 10: 1461254515
• ISBN 13: 9781461254515
• Binding: Soft cover
• Condition: New

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Synopsis

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.