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Vipimo vya Hatari ya Mkia (Expected Shortfall, Vipimo vya Spectral, Vipimo vya Expectile)

Vipimo vya hatari ya mkia hupima usambazaji wa hasara zaidi ya Value-at-Risk (VaR). Expected Shortfall — hasara inayotarajiwa ikizingatiwa kuwa VaR imezidi — ni kipimo kikuu cha hatari chenye mshikamano, kilichofafanuliwa na Artzner, Delbaen, Eber na Heath (1999) na kuonyeshwa kuwa na mshikamano na Acerbi na Tasche (2002). Vipimo vya spectral na vinavyotokana na expectile huupanua.

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Vyanzo

  1. Artzner, P., Delbaen, F., Eber, J.-M. & Heath, D. (1999). Coherent Measures of Risk. Mathematical Finance, 9(3), 203–228. DOI: 10.1111/1467-9965.00068
  2. Acerbi, C. & Tasche, D. (2002). On the Coherence of Expected Shortfall. Journal of Banking & Finance, 26(7), 1487–1503. DOI: 10.1016/S0378-4266(02)00283-2

Jinsi ya kunukuu ukurasa huu

ScholarGate. (2026, June 1). Tail Risk Measures (Expected Shortfall, Spectral and Expectile Risk). ScholarGate. https://scholargate.app/sw/finance/tail-risk-measures

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ScholarGateTail Risk Measures (Tail Risk Measures (Expected Shortfall, Spectral and Expectile Risk)). Imepatikana 2026-06-15 kutoka https://scholargate.app/sw/finance/tail-risk-measures · Seti ya data: https://doi.org/10.5281/zenodo.20539026