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分类依据与纠错

AI 根据所提供的论文材料归类:摘要以收益分布左尾预测为主要应用,明确涉及风险价值和预期损失估计。

反馈分类问题

正在核对关联版本…

代码、数据与补充材料

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关注这篇论文的作者
Agnieszka Borowska
Siem Jan Koopman
Herman K. van Dijk

用于稳健高效风险评估的部分删失后验

研究问题
在模型可能误设时,如何让贝叶斯式推断更关注收益预测分布的左尾,同时兼顾参数估计精度与金融风险指标的计算效率?
方法与思路
作者将参数分为两组,分别使用标准边际后验与条件删失后验,并提出后验模拟和重要性抽样方法,研究关注区域边界随时间变化的影响。
材料陈述的贡献
摘要提出部分删失后验及两种计算方法,称可降低风险价值和预期损失估计的数值标准误,并报告模拟与实证中的比较优势。
阅读关注点
应核对参数分组依据、删失区域及边界选择、误设情形下精度的评价标准,以及两种计算方法对风险指标数值误差的影响。
阅读边界
所给出版社摘要未给出稳健性的具体适用范围、模拟设定或风险预测改善幅度;摘要所称优于标准方法尚需结合全文比较设计判断。

原文摘要

A novel approach to inference for a specific region of the predictive distribution is introduced. An important domain of application is accurate prediction of financial risk measures, where the area of interest is the left tail of the predictive density of logreturns. Our proposed approach originates from the Bayesian approach to parameter estimation and time series forecasting, however it is robust in the sense that it provides a more accurate estimation of the predictive density in the region of interest in case of misspecification. The first main contribution of the paper is the novel concept of the Partially Censored Posterior (PCP), where the set of model parameters is partitioned into two subsets: for the first subset of parameters we consider the standard marginal posterior, for the second subset of parameters (that are particularly related to the region of interest) we consider the conditional censored posterior. The censoring means that observations outside the region of interest are censored: for those observations only the probability of being outside the region of interest matters. This quasi-Bayesian approach yields more precise parameter estimation than a fully censored posterior for all parameters, and has more focus on the region of interest than a standard Bayesian approach. The second main contribution is that we introduce two novel methods for computationally efficient simulation: Conditional MitISEM, a Markov chain Monte Carlo method to simulate model parameters from the Partially Censored Posterior, and PCP-QERMit, an Importance Sampling method that is introduced to further decrease the numerical standard errors of the Value-at-Risk and Expected Shortfall estimators. The third main contribution is that we consider the effect of using a time-varying boundary of the region of interest. Extensive simulation and empirical studies show the ability of the introduced method to outperform standard approaches.

笔记与分组