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

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

Author(s): Thara Belhamra, Halim Zeghdoudi, Vinoth Raman
Subject(s): Economy
Published by: Główny Urząd Statystyczny
Keywords: Zeghdoudi distribution; maximum likelihood estimator; Newton-Raphson method; outlier; fuzzy reliability;

Summary/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.

  • Issue Year: 25/2024
  • Issue No: 1
  • Page Range: 167-177
  • Page Count: 10
  • Language: English
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