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马歇尔 - 奥尔金 - 威布尔对数分布在完整数据和删失数据中的应用。

Application of the Marshall-Olkin-Weibull logarithmic distribution to complete and censored data.

作者信息

Retrospect Musekwa Regent, Gabaitiri Lesego, Makubate Boikanyo

机构信息

Department of Mathematics and Statistical Sciences, Botswana International University of Science and Technology, Palapye, Botswana.

出版信息

Heliyon. 2024 Jul 9;10(14):e34170. doi: 10.1016/j.heliyon.2024.e34170. eCollection 2024 Jul 30.

DOI:10.1016/j.heliyon.2024.e34170
PMID:39108904
原文链接:https://pmc.ncbi.nlm.nih.gov/articles/PMC11301245/
Abstract

In contemporary statistical research, there has been a notable surge of interest surrounding a suggested extension of the Marshall-Olkin-G distributions. The present extension exhibits a higher degree of flexibility in comparison to its parent distributions. In a similar manner, we present in this context an expansion of the Marshall-Olkin-G distributions proposed by statistical scholars. This study utilizes a specific variant of the extension known as the Marshall-Olkin-Weibull Logarithmic model, which is applied to both complete and censored data sets. It is evident that the aforementioned model has strong competitiveness in accurately characterizing both complete and censored observations in lifetime reliability issues, when compared to other comparative models discussed in this research work.

摘要

在当代统计研究中,围绕对马歇尔 - 奥尔金 - G分布的一种建议扩展,人们的兴趣显著激增。与它的母分布相比,当前的扩展表现出更高程度的灵活性。同样,在此背景下,我们提出了统计学者所提议的马歇尔 - 奥尔金 - G分布的一种扩展。本研究使用了该扩展的一种特定变体,即马歇尔 - 奥尔金 - 威布尔对数模型,它被应用于完整数据集和删失数据集。显然,与本研究工作中讨论的其他对比模型相比,上述模型在准确刻画寿命可靠性问题中的完整观测值和删失观测值方面具有很强的竞争力。

https://cdn.ncbi.nlm.nih.gov/pmc/blobs/e8d6/11301245/7a438c2e680f/gr008.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/e8d6/11301245/f291463d1958/gr001.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/e8d6/11301245/b39cf823535f/gr002.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/e8d6/11301245/079cfb1bafcd/gr003.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/e8d6/11301245/a63fe67d4083/gr004.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/e8d6/11301245/2211bb031d38/gr005.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/e8d6/11301245/5e32947d9adc/gr006.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/e8d6/11301245/457d3ba4fd7a/gr007.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/e8d6/11301245/7a438c2e680f/gr008.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/e8d6/11301245/f291463d1958/gr001.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/e8d6/11301245/b39cf823535f/gr002.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/e8d6/11301245/079cfb1bafcd/gr003.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/e8d6/11301245/a63fe67d4083/gr004.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/e8d6/11301245/2211bb031d38/gr005.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/e8d6/11301245/5e32947d9adc/gr006.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/e8d6/11301245/457d3ba4fd7a/gr007.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/e8d6/11301245/7a438c2e680f/gr008.jpg

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