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使用g-and-h分布估计保险分析和操作风险中的大额损失

Estimating large losses in insurance analytics and operational risk using the g-and-h distribution

Quantitative Finance · 2021
被引 12
人大 BABS 3

中文导读

研究了g-and-h分布的参数估计方法,用于建模银行和保险业的极端损失数据,发现间接推断法比最大似然法更高效准确。

Abstract

In this paper, we study the estimation of parameters for g-and-h distributions. These distributions find applications in modeling highly skewed and fat-tailed data, like extreme losses in the banking and insurance sector. We first introduce two estimation methods: a numerical maximum likelihood technique, and an indirect inference approach with a bootstrap weighting scheme. In a realistic simulation study, we show that indirect inference is computationally more efficient and provides better estimates than the maximum likelihood method in the case of extreme features in the data. Empirical illustrations on insurance and operational losses illustrate these findings.

保险操作风险极值统计参数估计