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Emil J. Gumbel
Emil J. Gumbel (1891-1966) began his career simply as a professor of mathematical statistics in Heidelberg, but he is most remembered as a political activist militantly advocating for pacifism during the complicated and volatile times of the Weimar Republic in Germany. As a Jew with left-wing socialist and democratic sensibilities, he was exiled to France and later America. Ironically, the same writings on political terror and politicized justice in Nazi Germany that caused his ostracization saved his life. A courageous man, Gumbel spoke out passionately against the Nazis and came to symbolize a 'one-man party' at the center of controversy in German academia. His intellectual and moral vigor never waned, and despite his significant scientific contributions, it is his legacy of political ideology that endures for later generations to learn from. This biography chronicles the public life of a man not entirely part of the political or the academic world, but who has earned his place in history nonetheless.
Statistics of Extremes
This classic text covers order statistics and their exceedances; exact distribution of extremes; the 1st asymptotic distribution; uses of the 1st, 2nd, and 3rd asymptotes; more. 1958 edition. Includes 44 tables and 97 graphs.
Extreme Value Distributions
This important book provides an up-to-date comprehensive and down-to-earth survey of the theory and practice of extreme value distributions OCo one of the most prominent success stories of modern applied probability and statistics. Originated by E J Gumbel in the early forties as a tool for predicting floods, extreme value distributions evolved during the last 50 years into a coherent theory with applications in practically all fields of human endeavor where maximal or minimal values (the so-called extremes) are of relevance. The book is of usefulness both for a beginner with a limited probabilistic background and to expert in the field. Sample Chapter(s). Chapter 1.1: Historical Survey (139...
Copulas and Dependence Models with Applications
This book presents contributions and review articles on the theory of copulas and their applications. The authoritative and refereed contributions review the latest findings in the area with emphasis on “classical” topics like distributions with fixed marginals, measures of association, construction of copulas with given additional information, etc. The book celebrates the 75th birthday of Professor Roger B. Nelsen and his outstanding contribution to the development of copula theory. Most of the book’s contributions were presented at the conference “Copulas and Their Applications” held in his honor in Almería, Spain, July 3-5, 2017. The chapter 'When Gumbel met Galambos' is published open access under a CC BY 4.0 license.
Extremes and Related Properties of Random Sequences and Processes
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.
Research in Progress
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Hydraulicians in Europe 1800-2000
More than 850 individuals partly forgotten by name, but sometimes found in historical writings, together with many well known or recently deceased persons are presented in terms of bio-data, short career highlights, and main advances made to the profession with a short biography of the main writings. If available, a portrait is also included.
Continuous Multivariate Distributions, Volume 1
Seit dem Erscheinen der ersten Auflage dieses Werkes (1972) hat sich das Gebiet der kontinuierlichen multivariaten Verteilungen rasch weiterentwickelt. Moderne Anwendungsfelder sind die Erforschung von Hochwasser, Erdbeben, Regenfällen und Stürmen. Entsprechend wurde das Buch überarbeitet und erweitert: Nunmehr zwei Bände beschreiben eine Vielzahl multivariater Verteilungsmodelle anhand zahlreicher Beispiele. (05/00)
