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Statistical Inference of the Generalized Inverted Exponential Distribution under Joint Progressively Type-II Censoring
In this paper, we study the statistical inference of the generalized inverted exponential distribution with the same scale parameter and various shape parameters based on joint progressively type-II censored data. The expectation maximization (EM) algorithm is applied to calculate the maximum likeli...
Autores principales: | , |
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Formato: | Online Artículo Texto |
Lenguaje: | English |
Publicado: |
MDPI
2022
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Materias: | |
Acceso en línea: | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9141993/ https://www.ncbi.nlm.nih.gov/pubmed/35626461 http://dx.doi.org/10.3390/e24050576 |
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author | Chen, Qiyue Gui, Wenhao |
author_facet | Chen, Qiyue Gui, Wenhao |
author_sort | Chen, Qiyue |
collection | PubMed |
description | In this paper, we study the statistical inference of the generalized inverted exponential distribution with the same scale parameter and various shape parameters based on joint progressively type-II censored data. The expectation maximization (EM) algorithm is applied to calculate the maximum likelihood estimates (MLEs) of the parameters. We obtain the observed information matrix based on the missing value principle. Interval estimations are computed by the bootstrap method. We provide Bayesian inference for the informative prior and the non-informative prior. The importance sampling technique is performed to derive the Bayesian estimates and credible intervals under the squared error loss function and the linex loss function, respectively. Eventually, we conduct the Monte Carlo simulation and real data analysis. Moreover, we consider the parameters that have order restrictions and provide the maximum likelihood estimates and Bayesian inference. |
format | Online Article Text |
id | pubmed-9141993 |
institution | National Center for Biotechnology Information |
language | English |
publishDate | 2022 |
publisher | MDPI |
record_format | MEDLINE/PubMed |
spelling | pubmed-91419932022-05-28 Statistical Inference of the Generalized Inverted Exponential Distribution under Joint Progressively Type-II Censoring Chen, Qiyue Gui, Wenhao Entropy (Basel) Article In this paper, we study the statistical inference of the generalized inverted exponential distribution with the same scale parameter and various shape parameters based on joint progressively type-II censored data. The expectation maximization (EM) algorithm is applied to calculate the maximum likelihood estimates (MLEs) of the parameters. We obtain the observed information matrix based on the missing value principle. Interval estimations are computed by the bootstrap method. We provide Bayesian inference for the informative prior and the non-informative prior. The importance sampling technique is performed to derive the Bayesian estimates and credible intervals under the squared error loss function and the linex loss function, respectively. Eventually, we conduct the Monte Carlo simulation and real data analysis. Moreover, we consider the parameters that have order restrictions and provide the maximum likelihood estimates and Bayesian inference. MDPI 2022-04-20 /pmc/articles/PMC9141993/ /pubmed/35626461 http://dx.doi.org/10.3390/e24050576 Text en © 2022 by the authors. https://creativecommons.org/licenses/by/4.0/Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (https://creativecommons.org/licenses/by/4.0/). |
spellingShingle | Article Chen, Qiyue Gui, Wenhao Statistical Inference of the Generalized Inverted Exponential Distribution under Joint Progressively Type-II Censoring |
title | Statistical Inference of the Generalized Inverted Exponential Distribution under Joint Progressively Type-II Censoring |
title_full | Statistical Inference of the Generalized Inverted Exponential Distribution under Joint Progressively Type-II Censoring |
title_fullStr | Statistical Inference of the Generalized Inverted Exponential Distribution under Joint Progressively Type-II Censoring |
title_full_unstemmed | Statistical Inference of the Generalized Inverted Exponential Distribution under Joint Progressively Type-II Censoring |
title_short | Statistical Inference of the Generalized Inverted Exponential Distribution under Joint Progressively Type-II Censoring |
title_sort | statistical inference of the generalized inverted exponential distribution under joint progressively type-ii censoring |
topic | Article |
url | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9141993/ https://www.ncbi.nlm.nih.gov/pubmed/35626461 http://dx.doi.org/10.3390/e24050576 |
work_keys_str_mv | AT chenqiyue statisticalinferenceofthegeneralizedinvertedexponentialdistributionunderjointprogressivelytypeiicensoring AT guiwenhao statisticalinferenceofthegeneralizedinvertedexponentialdistributionunderjointprogressivelytypeiicensoring |