4.0 Article

On estimating the tail index and the spectral measure of multivariate -stable distributions

Journal

METRIKA
Volume 78, Issue 5, Pages 549-561

Publisher

SPRINGER HEIDELBERG
DOI: 10.1007/s00184-014-0515-7

Keywords

Asymptotic distribution; Multivariate alpha-stable distribution; Spectral measure; Tail index estimation; Generalized empirical likelihood estimation

Funding

  1. JSPS KAKENHI [26870655]
  2. Grants-in-Aid for Scientific Research [26870655] Funding Source: KAKEN

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We propose estimators for the tail index and the spectral measure of multivariate -stable distributions and derive their asymptotic properties. Simulation studies reveal the appropriateness of the estimators. Applications to financial data are also considered.

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