3914
1991
deu
article
1
2010-05-20
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Global sufficiency of extreme order statistics in location models of Weibull type
In Janssen and Reiss (1988) it was shown that in a location model of a Weibull type sample with shape parameter -1 < a < 1 the k(n) lower extremes are asymptotically local sufficient. In the present paper we show that even global sufficiency holds. Moreover, it turns out that convergence of the given statistical experiments in the deficiency metric does not only hold for compact parameter sets but for the whole real line.
urn:nbn:de:bvb:20-opus-47874
4787
In: Probability Theory and Related Fields (1991) 88, 261-268
Frank Marohn
deu
swd
Extremwertstatistik
deu
swd
Weibull-Verteilung
Mathematik
Order statistics; empirical distribution functions
open_access
Institut für Mathematik
Universität Würzburg
https://opus.bibliothek.uni-wuerzburg.de/files/3914/Marohn_Global_sufficiency.pdf
3913
1992
eng
bookpart
1
2010-04-27
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Laws of small numbers : Some applications to conditional curve estimation
No abstract available
urn:nbn:de:bvb:20-opus-45841
4584
Essays to the memory of Professor Jozsef Mogyorodi
In: Probability Theory and Applications / Janos Galambos (ed). - Dordrecht: Kluwer Acad. Publ., 1992. - 257 - 278. (Mathematics and its applications ; 80) ISBN: 0-7923-1922-2
Michael Falk
Frank Marohn
deu
swd
Gesetz der kleinen Zahlen
deu
swd
Poisson-Prozess
deu
swd
Regressionsanalyse
deu
swd
Extremwertstatistik
Mathematik
Extreme value theory; extremal processes
Statistics of extreme values; tail inference
open_access
Institut für Mathematik
Universität Würzburg
https://opus.bibliothek.uni-wuerzburg.de/files/3913/Marohn_Laws_small_numbers.pdf