Lomax分布广义渐进混合截尾下的部分可观测竞争风险模型

IF 2.3 2区工程技术 Q3 ENGINEERING, INDUSTRIAL

Quality Technology and Quantitative Management Pub Date : 2022-06-13 DOI:10.1080/16843703.2022.2049507

Amulya Kumar Mahto, Chandrakant Lodhi, Y. Tripathi, Liang Wang

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引用次数: 5

摘要

摘要我们研究了一个竞争风险模型，假设潜在失效时间遵循Lomax分布族。当故障原因部分已知并且使用广义渐进混合截尾方案观察寿命数据时，我们获得了模型参数的各种推断。建立了未知参数的极大似然估计的存在唯一性。还得到了贝叶斯估计量和相关的可信区间。此外，在Lomax分布的阶限制形状参数下，导出了未知参数的各种推论。最后，进行了仿真研究，以评估所提出的估计的性能。为了便于说明，还对实际数据集进行了分析。

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On partially observed competing risk model under generalized progressive hybrid censoring for Lomax distribution

ABSTRACT We study a competing risks model under the assumption that latent failure times follow family of Lomax distributions. We obtain various inferences for model parameters when causes of failure are partially known and lifetime data are observed using a generalized progressive hybrid censoring scheme. The existence and uniqueness properties of maximum likelihood estimators of unknown parameters are established. Bayes estimators and associated credible intervals are also obtained. In addition, various inferences for unknown parameters are derived under order-restricted shape parameters of Lomax distributions. Finally, a simulation study is conducted to evaluate the performance of the proposed estimates. A real data set is also analysed for illustration purposes.

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来源期刊

Quality Technology and Quantitative Management ENGINEERING, INDUSTRIAL-OPERATIONS RESEARCH & MANAGEMENT SCIENCE

CiteScore

5.10

自引率

21.40%

发文量

审稿时长

>12 weeks

期刊介绍： Quality Technology and Quantitative Management is an international refereed journal publishing original work in quality, reliability, queuing service systems, applied statistics (including methodology, data analysis, simulation), and their applications in business and industrial management. The journal publishes both theoretical and applied research articles using statistical methods or presenting new results, which solve or have the potential to solve real-world management problems.