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Some crude approximation, calibration and estimation procedures for NIG-variates

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  • Lillestöl, Jostein

Abstract

In this paper we explore some crude approximation, calibration and estimation procedures for Normal Inverse Gaussian (NIG) variates of potential use in risk management. Among others we treat in some detail the calibration of bivariate NIG consistent with marginal NIG.

Suggested Citation

  • Lillestöl, Jostein, 2002. "Some crude approximation, calibration and estimation procedures for NIG-variates," SFB 373 Discussion Papers 2002,85, Humboldt University of Berlin, Interdisciplinary Research Project 373: Quantification and Simulation of Economic Processes.
    • Handle: RePEc:zbw:sfb373:200285
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    References listed on IDEAS

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    1. Bauer, Christian, 2000. "Value at risk using hyperbolic distributions," Journal of Economics and Business, Elsevier, vol. 52(5), pages 455-467.
    2. Lillestøl, Jostein, 2000. "Bayesian estimation of NIG-parameters by Markov Chain Monte Carlo Methods," SFB 373 Discussion Papers 2000,112, Humboldt University of Berlin, Interdisciplinary Research Project 373: Quantification and Simulation of Economic Processes.
    3. Winfried Stute & Wenceslao Manteiga & Manuel Quindimil, 1993. "Bootstrap based goodness-of-fit-tests," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 40(1), pages 243-256, December.
    4. Karlis, Dimitris, 2002. "An EM type algorithm for maximum likelihood estimation of the normal-inverse Gaussian distribution," Statistics & Probability Letters, Elsevier, vol. 57(1), pages 43-52, March.
    5. Ole E. Barndorff‐Nielsen & Neil Shephard, 2001. "Non‐Gaussian Ornstein–Uhlenbeck‐based models and some of their uses in financial economics," Journal of the Royal Statistical Society Series B, Royal Statistical Society, vol. 63(2), pages 167-241.
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    Cited by:

    1. Dominique Guegan & Julien Houdain, 2006. "Hedging tranches index products : illustration of model dependency," Post-Print halshs-00179325, HAL.

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