© Thara Belhamra, Halim Zeghdoudi, Vinoth Raman. Article available under the CC BY-SA 4.0 licence
ARTICLE
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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