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Bayes Reliability Analysis of Parameters of Generalized Pareto Distribution under Different Loss Functions

Published: 08 July 2019 Publication History

Abstract

The generalized Pareto distribution is extensively used in the field of finance, insurance and natural disasters. The statistical inference for its parameter has been a hot spot of researches on its parameters. The aim of this paper is to study the Bayes estimation of the parameter of the generalized Parato distribution based on the parameter prior, which is Quasi prior distribution. Under three loss functions, squared error loss, LINEX loss and entropy loss function, Bayes estimators are obtained, and the Monte Carlo simulation experiment is used to observe the performance of various Bayes estimators obtained in this paper.

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    ICoMS '19: Proceedings of the 2019 2nd International Conference on Mathematics and Statistics
    July 2019
    112 pages
    ISBN:9781450371681
    DOI:10.1145/3343485
    Permission to make digital or hard copies of all or part of this work for personal or classroom use is granted without fee provided that copies are not made or distributed for profit or commercial advantage and that copies bear this notice and the full citation on the first page. Copyrights for components of this work owned by others than ACM must be honored. Abstracting with credit is permitted. To copy otherwise, or republish, to post on servers or to redistribute to lists, requires prior specific permission and/or a fee. Request permissions from [email protected]

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    • UBI: Universidade da Beira Interior
    • Universidade Nova de Lisboa

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    Published: 08 July 2019

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    Author Tags

    1. Bayes estimation
    2. Generalized Pareto distribution
    3. LINEX loss function
    4. Quasi prior distribution
    5. entropy loss function

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