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Modified marginal expected shortfall under asymptotic dependence

Author

Listed:
  • J.-J. Cai
  • V. Chavez-Demoulin
  • A. Guillou

Abstract

SUMMARY We propose an estimator of the marginal expected shortfall by considering a log transformation of a variable which has an infinite expectation. We establish the asymptotic normality of our estimator under general assumptions. A simulation study suggests that the estimation procedure is robust with respect to the choice of tuning parameters. Our estimator has lower bias and mean squared error than the empirical estimator when the latter is applicable. We illustrate our method on a tsunami dataset.

Suggested Citation

  • J.-J. Cai & V. Chavez-Demoulin & A. Guillou, 2017. "Modified marginal expected shortfall under asymptotic dependence," Biometrika, Biometrika Trust, vol. 104(1), pages 243-249.
    • Handle: RePEc:oup:biomet:v:104:y:2017:i:1:p:243-249.
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