E-ISSN 3115-5057 | ISSN 3115-5049
 

Research Article 


Marshal-Olkin Lomax Distribution: Properties and Application to Survival Dataset

Bashiru Sule Omeiza, Alhaji Modu Isa, Ibrahim Ali, Ibrahim Aminu.


Abstract
This study introduces the Marshal-Olkin Lomax distribution by compounding the Lomax distribution with the Marshal-Olkin generator. Various statistical properties of this new compound distribution, including the survival function, hazard function, moments, moment generating functions, and order statistics, were derived. The distribution parameters were estimated using the maximum likelihood estimation technique. Subsequently, the newly developed model, along with existing well-known models, was applied to a real-life dataset. The results of this application demonstrated that the newly proposed model outperformed other existing models, as evidenced by the evaluation metrics.

Key words: Marshal Olkin, Maximum Likelihood, Lomax Distribution, Entropy


 
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How to Cite this Article
Pubmed Style

Omeiza BS, Isa AM, Ali I, Aminu I. Marshal-Olkin Lomax Distribution: Properties and Application to Survival Dataset. CUJOSTECH. 2024; 1(1): 27-35. doi:10.5455/CUJOSTECH.240704


Web Style

Omeiza BS, Isa AM, Ali I, Aminu I. Marshal-Olkin Lomax Distribution: Properties and Application to Survival Dataset. https://www.cujostech.com.ng/?mno=197293 [Access: June 23, 2026]. doi:10.5455/CUJOSTECH.240704


AMA (American Medical Association) Style

Omeiza BS, Isa AM, Ali I, Aminu I. Marshal-Olkin Lomax Distribution: Properties and Application to Survival Dataset. CUJOSTECH. 2024; 1(1): 27-35. doi:10.5455/CUJOSTECH.240704



Vancouver/ICMJE Style

Omeiza BS, Isa AM, Ali I, Aminu I. Marshal-Olkin Lomax Distribution: Properties and Application to Survival Dataset. CUJOSTECH. (2024), [cited June 23, 2026]; 1(1): 27-35. doi:10.5455/CUJOSTECH.240704



Harvard Style

Omeiza, B. S., Isa, . A. M., Ali, . I. & Aminu, . I. (2024) Marshal-Olkin Lomax Distribution: Properties and Application to Survival Dataset. CUJOSTECH, 1 (1), 27-35. doi:10.5455/CUJOSTECH.240704



Turabian Style

Omeiza, Bashiru Sule, Alhaji Modu Isa, Ibrahim Ali, and Ibrahim Aminu. 2024. Marshal-Olkin Lomax Distribution: Properties and Application to Survival Dataset. Confluence University Journal of Science and Technology, 1 (1), 27-35. doi:10.5455/CUJOSTECH.240704



Chicago Style

Omeiza, Bashiru Sule, Alhaji Modu Isa, Ibrahim Ali, and Ibrahim Aminu. "Marshal-Olkin Lomax Distribution: Properties and Application to Survival Dataset." Confluence University Journal of Science and Technology 1 (2024), 27-35. doi:10.5455/CUJOSTECH.240704



MLA (The Modern Language Association) Style

Omeiza, Bashiru Sule, Alhaji Modu Isa, Ibrahim Ali, and Ibrahim Aminu. "Marshal-Olkin Lomax Distribution: Properties and Application to Survival Dataset." Confluence University Journal of Science and Technology 1.1 (2024), 27-35. Print. doi:10.5455/CUJOSTECH.240704



APA (American Psychological Association) Style

Omeiza, B. S., Isa, . A. M., Ali, . I. & Aminu, . I. (2024) Marshal-Olkin Lomax Distribution: Properties and Application to Survival Dataset. Confluence University Journal of Science and Technology, 1 (1), 27-35. doi:10.5455/CUJOSTECH.240704