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A Residual Bootstrap for Conditional Expected Shortfall

Alexander Heinemann, Sean Telg

arXiv 26 Nov 2018 · Econometrics · 3 citations (OpenAlex)

arXiv:1811.11557 · PDF · DOI · OpenAlex · Extracted main text

Abstract

This paper studies a fixed-design residual bootstrap method for the two-step estimator of Francq and Zako\"ian (2015) associated with the conditional Expected Shortfall. For a general class of volatility models the bootstrap is shown to be asymptotically valid under the conditions imposed by Beutner et al. (2018). A simulation study is conducted revealing that the average coverage rates are satisfactory for most settings considered. There is no clear evidence to have a preference for any of the three proposed bootstrap intervals. This contrasts results in Beutner et al. (2018) for the VaR, for which the reversed-tails interval has a superior performance.

Citation extraction

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Most heavily cited references

The works this paper leans on most, across its whole bibliography — not restricted to papers in our corpus. Ranked by composite intensity, which combines how often a work is mentioned, how many sections mention it, and how much of that falls in the main text rather than the appendix.

ReferenceIntensityMentionsSectionsMain text
1Francq, C. and J.M. Zakoän (2015) Risk-parameter estimation in volatility models1.000165100%
2Gao, F. and F. Song (2008) Estimation risk in GARCH VaR and ES estimates1.00063100%
3Beutner, E., A. Heinemann, and S. Smeekes (2018) A residual bootstrap for conditional value-at-risk0.80951753%
4Chen, S.X (2008) Nonparametric estimation of expected shortfall0.6444250%
5Beutner, E., A. Heinemann, and S. Smeekes (2017) A justification of conditional confidence intervals0.58531100%
6Shimizu, K (2009) Bootstrapping Stationary ARMA–GARCH Models0.58531100%
7Acerbi, C. and D. Tasche (2002) Expected shortfall: A natural coherent alternative to value at risk0.51121100%
8Cavaliere, G., R.S. Pedersen, and A. Rahbek (2018) The fixed volatility bootstrap for a class of ARCH($q$) models0.51121100%
9Chang, Y. and J.Y. Park (2003) A sieve bootstrap for the test of a unit root0.51121100%
10Acerbi, C. and D. Tasche (2002) On the coherence of expected shortfall0.40511100%

Showing the top 10 of 52 scored citations.

Cited by, within the corpus

arXiv econ.EM papers that cite this one, ranked by how heavily they lean on it.

Citing paperIntensityMentionsSections
1Journal of Econometrics0.40511
2A Bootstrap Test for the Existence of Moments for GARCH Processes0.40511