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Asymptotic results for over-dispersed operational risk by using the asymptotic expansion method

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Abstract

In this paper, the author considers a new Loss-distribution-approach model, in which the over-dispersed operational risks are modeled by the compound negative binomial process. In the single dimensional case, asymptotic expansion for the quantile of compound negative binomial process is explored for computing the capital charge of a bank for operational risk. Moreover, when the dependence structure between different risk cells is modeled by the Frank copula, this approach is extended to the multi-dimensional setting. A practical example is given to demonstrate the effectiveness of approximation results.

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Authors and Affiliations

  1. School of Science, Engineering University of Chinese Armed Police Forces, Xi’an, 710086, China

    Zhaoyang Lu

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  1. Zhaoyang Lu
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Correspondence to Zhaoyang Lu.

Additional information

This research was supported by the National Natural Science Foundation of China under Grant No. 11201001 in part, the Science Research Grant of Shaanxi Province under Grant No. 2011JM1019, and the Foundation Research Project of Engineering University of CAPF under Grant No. WJY201304.

This paper was recommended for publication by Editor ZOU Guohua.

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Lu, Z. Asymptotic results for over-dispersed operational risk by using the asymptotic expansion method. J Syst Sci Complex 27, 524–536 (2014). https://doi.org/10.1007/s11424-014-1262-6

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  • DOI: https://doi.org/10.1007/s11424-014-1262-6

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