On the limit distributions of kth order statistics for semi-pareto processes
Applicationes Mathematicae, Tome 24 (1997) no. 2, pp. 189-193
Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences
Asymptotic properties of the kth largest values for semi-Pareto processes are investigated. Conditions for convergence in distribution of the kth largest values are given. The obtained limit laws are represented in terms of a compound Poisson distribution.
DOI :
10.4064/am-24-2-189-193
Keywords:
extreme values, semi-Pareto process, autoregressive process
Affiliations des auteurs :
Magdalena Chrapek 1 ; Jadwiga Dudkiewicz 1 ; Wiesław Dziubdziela 1
@article{10_4064_am_24_2_189_193,
author = {Magdalena Chrapek and Jadwiga Dudkiewicz and Wies{\l}aw Dziubdziela},
title = {On the limit distributions of kth order statistics for semi-pareto processes},
journal = {Applicationes Mathematicae},
pages = {189--193},
year = {1997},
volume = {24},
number = {2},
doi = {10.4064/am-24-2-189-193},
zbl = {0872.60039},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4064/am-24-2-189-193/}
}
TY - JOUR AU - Magdalena Chrapek AU - Jadwiga Dudkiewicz AU - Wiesław Dziubdziela TI - On the limit distributions of kth order statistics for semi-pareto processes JO - Applicationes Mathematicae PY - 1997 SP - 189 EP - 193 VL - 24 IS - 2 UR - http://geodesic.mathdoc.fr/articles/10.4064/am-24-2-189-193/ DO - 10.4064/am-24-2-189-193 LA - en ID - 10_4064_am_24_2_189_193 ER -
%0 Journal Article %A Magdalena Chrapek %A Jadwiga Dudkiewicz %A Wiesław Dziubdziela %T On the limit distributions of kth order statistics for semi-pareto processes %J Applicationes Mathematicae %D 1997 %P 189-193 %V 24 %N 2 %U http://geodesic.mathdoc.fr/articles/10.4064/am-24-2-189-193/ %R 10.4064/am-24-2-189-193 %G en %F 10_4064_am_24_2_189_193
Magdalena Chrapek; Jadwiga Dudkiewicz; Wiesław Dziubdziela. On the limit distributions of kth order statistics for semi-pareto processes. Applicationes Mathematicae, Tome 24 (1997) no. 2, pp. 189-193. doi: 10.4064/am-24-2-189-193
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