NEW ESTIMATES AND TESTS OF INDEPENDENCE IN SEMIPARAMETRIC COPULA MODELS

被引:0
|
作者
Bouzebda, Salim [1 ]
Keziou, Amor [1 ,2 ,3 ]
机构
[1] Univ Paris 06, LSTA, F-75013 Paris, France
[2] Univ Reims, CNRS, FRE 3111, Math Lab, F-51100 Reims, France
[3] UFR Sci, F-51687 Reims, France
关键词
dependence function; multivariate rank statistics; semiparametric inference; copulas; boundary; divergences; duality; MULTIVARIATE DISTRIBUTIONS; BIVARIATE DISTRIBUTIONS; ASYMPTOTIC NORMALITY; NONPARAMETRIC TESTS; ORDER-STATISTICS; LIKELIHOOD RATIO; PHI-DIVERGENCES; PARAMETER; FAMILIES; REPRESENTATION;
D O I
暂无
中图分类号
TP3 [计算技术、计算机技术];
学科分类号
0812 ;
摘要
We introduce new estimates and tests of independence in copula models with unknown margins using phi-divergences and the duality technique. The asymptotic laws of the estimates and the test statistics are established both when the parameter is an interior or a boundary value of the parameter space. Simulation results show that the choice of chi(2)-divergence has good properties in terms of efficiency-robustness.
引用
收藏
页码:178 / 201
页数:24
相关论文
共 50 条
  • [1] A semiparametric test of independence in copula models for censored data
    Bouzebda, Salim
    Keziou, Amor
    [J]. COMPTES RENDUS MATHEMATIQUE, 2010, 348 (7-8) : 449 - 453
  • [2] INDEPENDENCE TESTS IN SEMIPARAMETRIC TRANSFORMATION MODELS
    Huskova, Marie
    Meintanis, Simos G.
    Neumeyer, Natalie
    Pretorius, Charl
    [J]. SOUTH AFRICAN STATISTICAL JOURNAL, 2018, 52 (01) : 1 - 13
  • [3] Score tests for independence in semiparametric competing risks models
    Mériem Saïd
    Nadia Ghazzali
    Louis-Paul Rivest
    [J]. Lifetime Data Analysis, 2009, 15 : 413 - 440
  • [4] Score tests for independence in semiparametric competing risks models
    Said, Meriem
    Ghazzali, Nadia
    Rivest, Louis-Paul
    [J]. LIFETIME DATA ANALYSIS, 2009, 15 (04) : 413 - 440
  • [5] Copula-based models for the power of independence tests
    De Martini, D
    Vespa, E
    [J]. COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, 2005, 34 (12) : 2283 - 2297
  • [6] Estimation and tests of independence in copula models via divergences
    Bouzebda, Salim
    Keziou, Amor
    [J]. COMPTES RENDUS MATHEMATIQUE, 2009, 347 (11-12) : 667 - 672
  • [7] Semiparametric estimation in copula models
    Tsukahara, H
    [J]. CANADIAN JOURNAL OF STATISTICS-REVUE CANADIENNE DE STATISTIQUE, 2005, 33 (03): : 357 - 375
  • [8] Locally most powerful rank tests of independence for copula models
    Genest, C
    Verret, F
    [J]. JOURNAL OF NONPARAMETRIC STATISTICS, 2005, 17 (05) : 521 - 539
  • [9] Erratum to "Semiparametric estimation in copula models"
    Tsukahara, Hideatsu
    [J]. CANADIAN JOURNAL OF STATISTICS-REVUE CANADIENNE DE STATISTIQUE, 2011, 39 (04): : 734 - 735
  • [10] Semiparametric regression estimation in copula models
    Bagdonavicius, Vilijandas
    Malov, Sergey V.
    Nikulin, Mikhail S.
    [J]. COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, 2006, 35 (08) : 1449 - 1467