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340633

Inference for Generalized Progressive Hybrid Type-II Censored Weibull Lifetimes under Competing Risk Data.

Article

Last updated: 05 Jan 2025

Subjects

-

Tags

Mathematical Statistics

Abstract

The competing risks model plays a pivotal role in the analysis of various domains, including engineering, econometrics, and biology. When a product being tested is likely to fail due to multiple factors, these factors conflict with each other to precipitate product failure. This situation is referred to as the competing risks problem. This paper specifically concentrates on a competing risks model that employs a generalized progressive hybrid type-II censoring scheme . It assumes that the underlying lifetime distributions of the failure causes follow Weibull distribution. The paper derives maximum likelihood estimates and Bayes estimates , utilizing Markov Chain Monte Carlo techniques for computing Bayes estimates and credible intervals. Further, Bayes estimates of the parameters which obtained based on squared error and linear exponential loss functions under the assumptions of independent Gamma priors. To illustrate these concepts, the paper includes simulation studies and real-world examples.

DOI

10.21608/cjmss.2024.256760.1035

Keywords

competing risks, Generalized progressive hybrid type-II censoring scheme, Weibull distribution, Markov Chain Monte Carlo, Bayesian estimation

Authors

First Name

Samia

Last Name

Aboul-Fotouh Salem

MiddleName

-

Affiliation

Department of Statistics, Faculty of Commerce Zagazig University, Zagazig 44519, Egypt

Email

samia_a_salem@yahoo.com

City

-

Orcid

-

First Name

Osama Eraki

Last Name

Abo-Kasem

MiddleName

-

Affiliation

Department of Statistics, Faculty of Commerce Zagazig University, Zagazig 44519, Egypt

Email

osamaelsayederaki@gmail.com

City

Zagazig

Orcid

-

First Name

amarat

Last Name

abdelgaied khairy

MiddleName

-

Affiliation

Department of Statistics, Faculty of Commerce Zagazig University, Zagazig 44519, Egypt

Email

amiraemad561@gmail.com

City

-

Orcid

-

Volume

3

Article Issue

1

Related Issue

44604

Issue Date

2024-04-01

Receive Date

2023-12-20

Publish Date

2024-04-01

Page Start

177

Page End

202

Print ISSN

2974-3435

Online ISSN

2974-3443

Link

https://cjmss.journals.ekb.eg/article_340633.html

Detail API

https://cjmss.journals.ekb.eg/service?article_code=340633

Order

340,633

Type

Original Article

Type Code

2,545

Publication Type

Journal

Publication Title

Computational Journal of Mathematical and Statistical Sciences

Publication Link

https://cjmss.journals.ekb.eg/

MainTitle

Inference for Generalized Progressive Hybrid Type-II Censored Weibull Lifetimes under Competing Risk Data.

Details

Type

Article

Created At

29 Dec 2024