Reliability for Zeghdoudi distribution with an outlier, fuzzy reliability and application

Thara Belhamra; Halim Zeghdoudi; Vinoth Raman

doi:https://doi.org/10.59170/stattrans-2024-010

Reliability for Zeghdoudi distribution with an outlier, fuzzy reliability and application

Thara Belhamra Department of Mathematics, Science Faculty, Badji Mokhtar-Annaba University, 2300, Annaba, Algeria ORCID:https://orcid.org/0009-0008-4771-279X , Halim Zeghdoudi Department of Mathematics, Science Faculty, Badji Mokhtar-Annaba University, 2300, Annaba, Algeria ORCID:https://orcid.org/0000-0002-4759-5529 , Vinoth Raman Imam Abdulrahman Bin Faisal University Dammam, Eastern, Saudi Arabia ORCID:https://orcid.org/0000-0002-3815-2312 Statistics in Transition new series, vol. 25, 2024, 1, pages: 167-177 Published online: 6 March 2024 https://doi.org/10.59170/stattrans-2024-010 Citation: Belhamra, T., Zeghdoudi, H., Raman, V., 2024. Reliability for Zeghdoudi distribution with an outlier, fuzzy reliability and application. Statistics in Transition new series, 25(1), pp. 167-177. https://doi.org/10.59170/stattrans-2024-010.

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ABSTRACT

This study focuses on estimating reliability P[Y<X], where Y has a Zeghdoudi distribution with parameter a, X has a Zeghdoudi distribution with one outlier present and parameter c, and the remaining (n – 1) random variables are from a Zeghdoudi distribution with parameter b, in order for X and Y to be independent. Several findings of a simulation study and the maximum likelihood estimate of R are provided. We also present some results related to fuzzy dependability. Finally, using actual data on survival durations (in days) of 72 Algerians infected with a coronavirus, we demonstrate how the Zeghdoudi distribution may be applied to other distributions in order to demonstrate its adaptability.

KEYWORDS

Zeghdoudi distribution, maximum likelihood estimator, Newton-Raphson method, outlier, fuzzy reliability

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