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

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

Regent Retrospect Musekwa  1 , Lesego Gabaitiri  1 , Boikanyo Makubate  1
Affiliations

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

Regent Retrospect Musekwa et al. Heliyon. .

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.

Keywords: 60E30; 62E10; Censored data; Logarithmic distribution; Marshall-Olkin-G distribution; Power series distribution; Weibull distribution.

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Conflict of interest statement

The authors declare that they have no known competing financial interests or personal relationships that could have appeared to influence the work reported in this paper.

Figures

Figure 1
Figure 1
The pdf and hrf plots for the MO-WL distribution.
Figure 2
Figure 2
Fitted density and probability plot of the MO-WL distribution for the remission times of 128 bladder cancer patients data.
Figure 3
Figure 3
ECDF and KM survival plots of the MO-WL distribution for the remission times of 128 bladder cancer patients data.
Figure 4
Figure 4
Estimated hrf plot and TTT of the MO-WL distribution for the remission times of 128 bladder cancer patients data.
Figure 5
Figure 5
Fitted density and probability plot of the MO-WL distribution for the Kevlar data.
Figure 6
Figure 6
ECDF and KM survival plots of the MO-WL distribution for the Kevlar data.
Figure 7
Figure 7
Estimated hrf plot and TTT of the MO-WL distribution for the Kevlar data.
Figure 8
Figure 8
Fitted density and probability plot of the MO-WL distribution for the censored data.
Figure 9
Figure 9
ECDF and KM survival plots of the MO-WL distribution for the censored data.
Figure 10
Figure 10
Estimated hrf plot and TTT of the MO-WL distribution for the censored data.
See this image and copyright information in PMC

References

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