Selected article for: "maximum likelihood estimation and moment estimation"

Author: Alamri, Osama Abdulaziz; El-Raouf, M. M. Abd; Ismail, Eman Ahmed; Almaspoor, Zahra; Alsaedi, Basim S. O.; Khosa, Saima Khan; Yusuf, M.
Title: Estimate Stress-Strength Reliability Model Using Rayleigh and Half-Normal Distribution
  • Cord-id: cm6z5st9
  • Document date: 2021_7_5
  • ID: cm6z5st9
    Snippet: In the field of life testing, it is very important to study the reliability of any component under testing. One of the most important subjects is the “stress-strength reliability” term which always refers to the quantity P (X > Y) in any statistical literature. It resamples a system with random strength (X) that is subjected to a random strength (Y) such that a system fails in case the stress exceeds the strength. In this study, we consider stress-strength reliability where the strength (X)
    Document: In the field of life testing, it is very important to study the reliability of any component under testing. One of the most important subjects is the “stress-strength reliability” term which always refers to the quantity P (X > Y) in any statistical literature. It resamples a system with random strength (X) that is subjected to a random strength (Y) such that a system fails in case the stress exceeds the strength. In this study, we consider stress-strength reliability where the strength (X) follows Rayleigh-half-normal distribution and stress (Y(1), Y(2), Y(3), and Y(4)) follows Rayleigh-half-normal distribution, exponential distribution, Rayleigh distribution, and half-normal distribution, respectively. This effort comprises determining the general formulations of the reliabilities of a system. Also, the maximum likelihood estimation approach and method of moment (MOM) will be utilized to estimate the parameters. Finally, reliability has been attained utilizing various values of stress and strength parameters.

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