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

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.