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Confidence intervals for a tail index estimator

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Part of the book series: Lecture Notes in Statistics ((LNS,volume 147))

Abstract

Financial data (log-returns of exchange rates, stock indices, share prices) are often modeled by heavy-tailed distributions, i.e., distributions which admit the representation

$$P(X > x) = L(x){x^{ - 1/a}}(a > 0)$$
((14.1))

where the function L slowly varies: \(\mathop {\lim }\limits_{x \to \infty } L(xt)/L(x) = 1(\forall t > 0)\).

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Novak, S.Y. (2000). Confidence intervals for a tail index estimator. In: Franke, J., Stahl, G., Härdle, W. (eds) Measuring Risk in Complex Stochastic Systems. Lecture Notes in Statistics, vol 147. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-1214-0_14

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  • DOI: https://doi.org/10.1007/978-1-4612-1214-0_14

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-0-387-98996-9

  • Online ISBN: 978-1-4612-1214-0

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