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作者:

Zhao, Xu (Zhao, Xu.) | Cheng, Wei-hu (Cheng, Wei-hu.) (学者:程维虎) | Zhang, Yang (Zhang, Yang.) | Wei, Shao-jie (Wei, Shao-jie.) | Yang, Zhen-hai (Yang, Zhen-hai.)

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Scopus SCIE CSCD

摘要:

In this paper, we proposed a new efficient approach to construct confidence intervals for the location and scale parameters of the generalized Pareto distribution (GPD) when the shape parameter is known. The superiority of our method is that the distributions of pivots are exact, but not approximate distributions. The proposed interval estimation provides the shortest interval for the GPD parameter whether or not the confident distribution of the pivot is symmetric. We first estimate the location and scale parameters of the GPD using least squares and then, construct confidence intervals based on the equal probability density principle. The results of various simulation studies illustrate that our interval estimators show the better performance than competing method.

关键词:

confidence interval equal probability density principle generalized Pareto distribution least squares estimator upper record values

作者机构:

  • [ 1 ] [Zhao, Xu]Beijing Univ Technol, Coll Appl Sci, Beijing, Peoples R China
  • [ 2 ] [Cheng, Wei-hu]Beijing Univ Technol, Coll Appl Sci, Beijing, Peoples R China
  • [ 3 ] [Wei, Shao-jie]Beijing Univ Technol, Coll Appl Sci, Beijing, Peoples R China
  • [ 4 ] [Yang, Zhen-hai]Beijing Univ Technol, Coll Appl Sci, Beijing, Peoples R China
  • [ 5 ] [Zhang, Yang]Rutgers State Univ, Dept Econ, New Brunswick, NJ USA

通讯作者信息:

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

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来源 :

ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES

ISSN: 0168-9673

年份: 2019

期: 4

卷: 35

页码: 909-918

0 . 8 0 0

JCR@2022

ESI学科: MATHEMATICS;

ESI高被引阀值:25

JCR分区:3

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:

近30日浏览量: 2

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