Under minimal assumptions, we prove that an empirical estimator of the tail conditional allocation (TCA), also known as the marginal expected shortfall, is consistent. Examples are provided to confirm the minimality of the assumptions. A simulation study illustrates the performance of the estimator in the context of developing confidence intervals for the TCA. The philosophy adopted in the present paper relies on three principles: easiness of practical use, mathematical rigor, and practical justifiability and verifiability of assumptions.

Original languageEnglish
Number of pages23
JournalAnnals of the Institute of Statistical Mathematics
DOIs
StateE-pub ahead of print - 26 Nov 2021

    Scopus subject areas

  • Statistics and Probability

    Research areas

  • Concomitant, Inference, Marginal expected shortfall, Order statistic, Tail conditional allocation, MODELS, EXPECTED SHORTFALL, RISK, N-BOOTSTRAP

ID: 89280068