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中国商业银行操作风险损失分布的拟合与诊断 被引量:3

Fitting and Diagnosing Operational Risk Loss Distribution of China’s Commercial Banks
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摘要 基于中国商业银行1994-2008年的操作风险损失数据,本文通过对操作风险损失分布的检验及利用贝叶斯MCMC频率进行分析,结果证实了中国商业银行操作风险损失分布近似服从广义极值分布(GEV)。从理论上看,在某种情况下广义帕雷托分布(GPD)可转化为GEV分布。因此,本文检验了中国商业银行操作风险损失分布是否也服从于GPD。为了检验中国商业银行操作风险损失分布是否可用GEV或GPD,本文采用极大似然估计法对GEV和GPD分布的位置参数、尺度参数、形态参数进行了估计并对中国商业银行操作风险的GEV和GPD分布模型进行了诊断。研究表明中国商业银行操作风险损失的概率图、分位数图、重现水平曲线、密度曲线的四个诊断图都支持操作风险损失分布可用GEV和GPD分布表示。 Based on China commercial banks' 1994-2008 operational risk loss data, the article tests China' s commercial bank operational risk loss distribution and analyzes with the Bayesian MCMC frequency method. It confirms China commercial bank operational risk obeys Generalized Extreme Distribution (GEV). In theory, Generalized Pareto Distribution (GPD) can transfer to GEV under certain conditions. Therefore, we exanimate whether China commercial bank operational risk loss can obey GPD. To exanimate whether China commercial bank operational risk loss obeys GEV or GPD, this paper uses MLE meth- od to obtain the location parameter, scale parameter and shape parameter of GEV and GPD, and diagnoses the GEV and GPD model. The results indicate that Probability Plot, Quantile Plot, Return Level Plot and Density Plot support China commercial bank operational risk loss is subject to GEV and GPD.
作者 宾建成 吴俊
出处 《投资研究》 北大核心 2013年第3期20-32,共13页 Review of Investment Studies
基金 上海市085工程建设项目(Z08511018)的阶段性成果
关键词 GEV GPD 极大似然估计 贝叶斯蒙特卡洛模拟 GEV GPD MLE Bayesian MCMC simulation
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参考文献12

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二级参考文献26

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