THERMAL SCIENCE

International Scientific Journal

Fatimah Almulhim

,

Hanad Abdelsalam

,

Weam Alharbi

,

Marwa Alzubaidi

,

Gamal A. Abd-Elmougod

INFERENCES BASED ON TYPE-I CENSORING COMPETING RISKS DATA OF POWER HAZARD RATE MODELS IN THE PRESENCE OF PARTIALLY OBSERVED CAUSES OF FAILURE

ABSTRACT
When population units fail for several reasons, the competing risks model is triggered. The failure time and associated reason of failure are noted in this model. It is possible to partially observe the reasons why the competing risks model fails. In this work, where the failure time is distributed with the power hazard rate distribution, we utilize the competing risks model under partially observed reasons of failure. We develop maximum likelihood estimators of the model parameters with related estimated confidence intervals based on the independent type-I censoring competing risks data. Two distinct approaches are used to construct the bootstrap point estimate and associated bootstrap confidence ranges. Analysis is done using actual type-I competing risks data that has some failure causes missing at random.
KEYWORDS
power hazard rate distribution, maximun likelihood estimation, competing risks model type-I censoring scheme, bootstrap confidence interval
PAPER SUBMITTED: 2024-08-10
PAPER REVISED: 2024-10-13
PAPER ACCEPTED: 2024-10-30
PUBLISHED ONLINE: 2025-01-25
DOI REFERENCE: https://doi.org/10.2298/TSCI2406011A
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2024, VOLUME 28, ISSUE Issue 6, PAGES [5011 - 5018]
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Inferences based on type-I censoring competing risks data of power hazard rate models in the presence of partially observed causes of failure

2025 Society of Thermal Engineers of Serbia. Published by the Vinča Institute of Nuclear Sciences, National Institute of the Republic of Serbia, Belgrade, Serbia. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution-NonCommercial-NoDerivs 4.0 International licence