Capacities associated to the Siciak extremal function
S. Kołodziej (1989)
Annales Polonici Mathematici
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S. Kołodziej (1989)
Annales Polonici Mathematici
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J. Śladkowska (1983)
Annales Polonici Mathematici
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J. Zamorski (1958-1959)
Annales Polonici Mathematici
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W. Janowski (1970)
Annales Polonici Mathematici
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E. T. Davies (1972)
Colloquium Mathematicae
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Iovanov, Miodrag (2004)
Acta Universitatis Apulensis. Mathematics - Informatics
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Marta Ferreira (2015)
Discussiones Mathematicae Probability and Statistics
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The extremal index Θ is an important parameter in extreme value analysis when extending results from independent and identically distributed sequences to stationary ones. A connection between the extremal index and the tail dependence coefficient allows the introduction of new estimators. The proposed ones are easy to compute and we analyze their performance through a simulation study. Comparisons with other existing methods are also presented. Case studies within environment are considered...
Kazimierz Włodarczyk (1985)
Annales Polonici Mathematici
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Johnny E. Brown (1984)
Mathematische Zeitschrift
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Siegfried Helbig (1988)
Commentationes Mathematicae Universitatis Carolinae
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W. Pleśniak (2003)
Annales Polonici Mathematici
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The Siciak extremal function establishes an important link between polynomial approximation in several variables and pluripotential theory. This yields its numerous applications in complex and real analysis. Some of them can be found on a rich list drawn up by Klimek in his well-known monograph "Pluripotential Theory". The purpose of this paper is to supplement it by applications in constructive function theory.