Generalized Type-I Hybrid Censoring Scheme in Estimation Competing Risks Chen Lifetime Populations

Different types of censoring scheme are investigated; however, statistical inference on censoring scheme which can save the ideal test time and the minimum number of failures is needed. The generalized type-I hybrid censoring scheme (GHCS) solves this problem. Competing the risk models under the GHC...

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Bibliographic Details
Published in:Mathematical problems in engineering 2021, Vol.2021, p.1-12
Main Authors: Sayed-Ahmed, Neveen, Jawa, Taghreed M., Aloafi, Tahani A., Bayones, F. S., Elhag, Azhari A., Bouslimi, J., Abd-Elmougod, G. A.
Format: Article
Language:English
Subjects:
Accelerated life tests
Asymptotic methods
Confidence intervals
Failure
Failure times
Mathematical problems
Maximum likelihood estimation
Parameter estimation
Random variables
Statistical analysis
Statistical inference
Stress
Testing time
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Summary:Different types of censoring scheme are investigated; however, statistical inference on censoring scheme which can save the ideal test time and the minimum number of failures is needed. The generalized type-I hybrid censoring scheme (GHCS) solves this problem. Competing the risk models under the GHCS when time to failure has Chen lifetime distribution (CD) is adopted in this research with consideration of only two cases of failure. Partially step-stress accelerated life tests (ALTs) are applied to obtain enough failure times in a small period to achieve a highly reliable product. The problem of parameter estimation under maximum likelihood (ML) and Bayes methods is discussed. The asymptotic confidence interval as well as the Bayes credible interval is constructed. The validity of theoretical results is assessed and compared through simulation study. Finally, brief comments are reported to describe the behaviour of the estimation results.
ISSN:1024-123X
1563-5147
DOI:10.1155/2021/6693243