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作者:

Zhao, Xu (Zhao, Xu.) | Cheng, Weihu (Cheng, Weihu.) (学者:程维虎) | Zhang, Pengyue (Zhang, Pengyue.)

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摘要:

Modeling excesses over a high threshold and estimating extreme tail risk are two utmost studies in the extreme value literature. Traditional techniques are limited on handling these two challenges. To better analyze this type of data, we propose a novel approach which utilizes the generalized Pareto distribution (GPD) in the peaks-over-threshold (POT) framework. Under the proposed approach, by using partial L-moments (PL-moments), computational efficient estimators are derived for the parameters in the GPD. Additionally, we propose method to estimate the tail expectiles and apply a recently developed stopping rule to find the optimal threshold. Various simulation researches show that the proposed approach outperforms the traditional techniques in some aspects. Last, we apply the proposed method to the Shanghai Stock Exchange data for comprehensively illustrating the details and providing guidance for future applications.

关键词:

expectiles extreme values peaksover-threshold Threshold value at risk (VaR)

作者机构:

  • [ 1 ] [Zhao, Xu]Beijing Univ Technol, Coll Appl Sci, Beijing 100124, Peoples R China
  • [ 2 ] [Cheng, Weihu]Beijing Univ Technol, Coll Appl Sci, Beijing 100124, Peoples R China
  • [ 3 ] [Zhang, Pengyue]Ohio State Univ, Coll Med, Dept Biomed Informat, Columbus, OH 43210 USA

通讯作者信息:

  • [Zhao, Xu]Beijing Univ Technol, Coll Appl Sci, Beijing 100124, Peoples R China

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来源 :

COMMUNICATIONS IN STATISTICS-THEORY AND METHODS

ISSN: 0361-0926

年份: 2020

期: 4

卷: 49

页码: 827-844

0 . 8 0 0

JCR@2022

ESI学科: MATHEMATICS;

ESI高被引阀值:15

JCR分区:4

被引次数:

WoS核心集被引频次: 1

SCOPUS被引频次: 1

ESI高被引论文在榜: 0 展开所有

万方被引频次:

中文被引频次:

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