J 2017

On structure, family and parameter estimation of hierarchical Archimedean copulas

GÓRECKI, Jan, Marius HOFERT and Martin HOLEŇA

Basic information

Original name

On structure, family and parameter estimation of hierarchical Archimedean copulas

Authors

GÓRECKI, Jan (203 Czech Republic, belonging to the institution), Marius HOFERT (124 Canada) and Martin HOLEŇA (203 Czech Republic)

Edition

Journal of Statistical Computation and Simulation, 2017, 0094-9655

Other information

Language

English

Type of outcome

Článek v odborném periodiku

Field of Study

10201 Computer sciences, information science, bioinformatics

Country of publisher

United Kingdom of Great Britain and Northern Ireland

Confidentiality degree

není předmětem státního či obchodního tajemství

References:

RIV identification code

RIV/47813059:19520/17:00010847

Organization unit

School of Business Administration in Karvina

UT WoS

000417048000002

Keywords in English

copula estimation; goodness-of-fit; hierarchical Archimedean copula; structure determination
Změněno: 7/2/2020 10:57, RNDr. Daniel Jakubík

Abstract

V originále

Research on structure determination and parameter estimation of hierarchical Archimedean copulas (HACs) has so far mostly focused on the case in which all appearing Archimedean copulas belong to the same Archimedean family. The present work addresses this issue and proposes a new approach for estimating HACs that involve different Archimedean families. It is based on employing goodness-of-fit test statistics directly into HAC estimation. The approach is summarized in a simple algorithm, its theoretical justification is given and its applicability is illustrated by several experiments, which include estimation of HACs involving up to five different Archimedean families.