Consistent testing for a constant copula under strong mixing based on the tapered block multiplier technique

被引：27

作者：

Buecher, Axel ^{[1
]}

Ruppert, Martin ^{[2
]}

机构：

[1] Ruhr Univ Bochum, D-44780 Bochum, Germany

[2] Univ Cologne, Grad Sch Risk Management, D-50923 Cologne, Germany

来源：

JOURNAL OF MULTIVARIATE ANALYSIS | 2013年 / 116卷

关键词：

Change point test; Copula; Empirical copula process; Nonparametric estimation; Time series; Strong mixing; Multiplier central limit theorem; EMPIRICAL PROCESSES; DYNAMIC COPULA; BOOTSTRAP; DEPENDENCE; SELECTION; THEOREMS;

D O I：

10.1016/j.jmva.2012.12.002

中图分类号：

O21 [概率论与数理统计]; C8 [统计学];

学科分类号：

020208 ; 070103 ; 0714 ;

摘要：

Considering multivariate strongly mixing time series, nonparametric tests for a constant copula with specified or unspecified change point (candidate) are derived; the tests are consistent against general alternatives. A tapered block multiplier technique based on serially dependent multiplier random variables is provided to estimate p-values of the test statistics. Size and power of the tests in finite samples are evaluated with Monte Carlo simulations. The block multiplier technique might have several other applications for statistical inference on copulas of serially dependent data. (C) 2012 Elsevier Inc. All rights reserved.

引用

页码：208 / 229

页数：22

共 51 条

[41]

Ruppert M., 2011, THESIS U COLOGNE

[42] ASYMPTOTIC DISTRIBUTIONS OF MULTIVARIATE RANK ORDER STATISTICS [J].

RUSCHENDORF, L .

ANNALS OF STATISTICS, 1976, 4 (05) :912-923

[43] A Kolmogorov-Smirnov type test for positive quadrant dependence [J].

Scaillet, O .

CANADIAN JOURNAL OF STATISTICS-REVUE CANADIENNE DE STATISTIQUE, 2005, 33 (03) :415-427

[44]

Schmid F., 2010, Copula Theory and Its Applications, P209

[45] Asymptotics of empirical copula processes under non-restrictive smoothness assumptions [J].

Segers, Johan .

BERNOULLI, 2012, 18 (03) :764-782

[46]

Sklar A., 1959, ANN LISUP, V8, P229

[47] Bivariate option pricing using dynamic copula models [J].

van den Goorbergh, RWJ ;

Genest, C ;

Werker, BJM .

INSURANCE MATHEMATICS & ECONOMICS, 2005, 37 (01) :101-114

[48]

van der Vaart Aad W., 1996, Weak convergence and empirical processes, DOI DOI 10.1007/978-1-4757-2545-2

[49]

van Kampen M., 2012, NONPARAMETRIC CONSTA

[50]

Wied D., 2011, 1611 TU DORTM

← 1 2 3 4 5 6 →