Improved kernel estimation of copulas: weak convergence and goodness-of-fit testing
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F09%3A00206954" target="_blank" >RIV/00216208:11320/09:00206954 - isvavai.cz</a>
Result on the web
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DOI - Digital Object Identifier
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Alternative languages
Result language
angličtina
Original language name
Improved kernel estimation of copulas: weak convergence and goodness-of-fit testing
Original language description
We suggest modification of existing kernel estimators for a copula function in order to prevent corner bias problems when the second derivatives of the copula functions are unbounded. The theoretical contribution of the paper is a weak convergence resultfor the suggest estimators under conditions that are met for most copula families. We also discuss the choice of bandwidth parameters, theoretically and practically, and illustrate the finite-sample behaviour of the estimators in a simulation study. Theestimators are also applied to goodness-of-fit testing for copulas.
Czech name
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Czech description
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Classification
Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BA - General mathematics
OECD FORD branch
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Result continuities
Project
<a href="/en/project/LC06024" target="_blank" >LC06024: Jaroslav Hájek Center for Theoretical and Applied Statistics</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)
Others
Publication year
2009
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Annals of Statistics
ISSN
0090-5364
e-ISSN
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Volume of the periodical
37
Issue of the periodical within the volume
5B
Country of publishing house
US - UNITED STATES
Number of pages
36
Pages from-to
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UT code for WoS article
000268605000015
EID of the result in the Scopus database
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