Abstract
This research introduces a new two-parameter Marshall-Olkin Garima distribution model. The novel model has many sub-models that are useful in modeling real-life data, such as the extended Garima distribution, exponentiated Garima distribution, exponential distribution, Lindley distribution, Kumaraswamy Garima distribution, and normal distribution. The proposed model demonstrates a high level of suitability in modeling both reliability and survival data. It is flexible in accommodating various failures. The quantile function, density shapes, hazard rate functions, and order statistics are a few of the statistical features that have been explored. Maximum likelihood estimation methods were employed to estimate the parameters. Using five data sets, the suggested distribution’s flexibility was shown with nuclear reactions that are important systems in the field of nuclear physics. The proposed distribution was compared with its sub-models and other existing models. The findings demonstrated that, compared to the other competing distributions, the suggested distribution offered a superior fit to the data sets.
Recommended Citation
Aygün, Murat and Karakaş, Ayşe Metin
(2024).
(R2116) The Novel Garima Distribution Properties and Nuclear Data Application,
Applications and Applied Mathematics: An International Journal (AAM), Vol. 20,
Iss.
1, Article 7.
Available at:
https://digitalcommons.pvamu.edu/aam/vol20/iss1/7