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Author:

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

Indexed by:

Scopus SCIE CSCD

Abstract:

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.

Keyword:

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

Author Community:

  • [ 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

Reprint Author's Address:

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

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Source :

ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES

ISSN: 0168-9673

Year: 2019

Issue: 4

Volume: 35

Page: 909-918

0 . 8 0 0

JCR@2022

ESI Discipline: MATHEMATICS;

ESI HC Threshold:54

JCR Journal Grade:3

Cited Count:

WoS CC Cited Count: 1

SCOPUS Cited Count: 1

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 8

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