Estimation of Pickands dependence function of bivariate extremes under mixing conditions

被引:0
作者
Boutahar, Mohamed [1 ]
Kchaou, Imen [1 ,2 ]
Reboul, Laurence [1 ]
机构
[1] Univ Aix Marseille, Inst Math Marseille, Marseille, France
[2] Univ Sfax, Sfax, Tunisia
关键词
absolutely regular sequence; bivariate extreme value distribution; copulas; independence test; nonparametric estimation; Pickands dependence function; strictly stationary process; NONPARAMETRIC-ESTIMATION; INFERENCE; VALUES; TESTS;
D O I
10.1007/s10986-020-09472-y
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this paper, we study some asymptotic properties of CFG estimator of the Pickands dependence function of strictly stationary absolutely regular sequences of bivariate extremes. We then propose an asymptotic test of independence of the vector margins. Finite sample properties of the estimate are investigated by simulation.
引用
收藏
页码:129 / 146
页数:18
相关论文
共 50 条
[31]   Minimum distance estimators of the Pickands dependence function and related tests of multivariate extreme-value dependence [J].
Berghaus, Betina ;
Buecher, Axel ;
Dette, Holger .
JOURNAL OF THE SFDS, 2013, 154 (01) :116-137
[32]   A comparison of dependence function estimators in multivariate extremes [J].
Sabrina Vettori ;
Raphaël Huser ;
Marc G. Genton .
Statistics and Computing, 2018, 28 :525-538
[33]   On Estimation of Bivariate Survival Function from Random Censored Data [J].
Abdushukurov, Abdurakhim A. ;
Muradovt, Rustamjon S. .
JOURNAL OF SIBERIAN FEDERAL UNIVERSITY-MATHEMATICS & PHYSICS, 2020, 13 (04) :422-430
[34]   Tail Maximal Dependence in Bivariate Models: Estimation and Applications [J].
Sun, Ning ;
Yang, Chen ;
Zitikis, Ricardas .
MATHEMATICAL METHODS OF STATISTICS, 2022, 31 (04) :170-196
[35]   Tail Maximal Dependence in Bivariate Models: Estimation and Applications [J].
Ning Sun ;
Chen Yang ;
Ričardas Zitikis .
Mathematical Methods of Statistics, 2022, 31 :170-196
[36]   Asymptotic Normality of the Conditional Hazard Function In the Local Linear Estimation Under Functional Mixing Data [J].
Goutal, Amina ;
Mechab, Boubaker ;
Fetitah, Omar ;
Merouan, Torkia .
APPLICATIONS AND APPLIED MATHEMATICS-AN INTERNATIONAL JOURNAL, 2022, 17 (02) :308-332
[38]   Empirical likelihood for the bivariate survival function under univariate censoring [J].
Huang, Haitao ;
Zhao, Yichuan .
JOURNAL OF STATISTICAL PLANNING AND INFERENCE, 2018, 194 :32-46
[39]   Nonparametric estimation of linear functionals of a bivariate distribution under univariate censoring [J].
Lu, Xuewen ;
Burke, M. D. .
JOURNAL OF STATISTICAL PLANNING AND INFERENCE, 2008, 138 (10) :3238-3256
[40]   Bivariate Aging Properties under Archimedean Dependence Structures [J].
Mulero, Julio ;
Pellerey, Franco .
COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, 2010, 39 (17) :3108-3121