On maximum likelihood estimation of the general projected normal distribution*

2021 ◽  
pp. 1-20
Author(s):  
Amani A. Ahmed ◽  
Alyaa R. Zahran ◽  
Moshira A. Ismail ◽  
Abd El Naser Saad
Keyword(s):  
Maximum Likelihood ◽  
Maximum Likelihood Estimation ◽  
Normal Distribution ◽  
Likelihood Estimation ◽  
Projected Normal Distribution

scholarly journals Estimate Stress-Strength Reliability Model Using Rayleigh and Half-Normal Distribution

2021 ◽  
Vol 2021 ◽  
pp. 1-10
Author(s):  
Osama Abdulaziz Alamri ◽  
M. M. Abd El-Raouf ◽  
Eman Ahmed Ismail ◽  
Zahra Almaspoor ◽  
Basim S. O. Alsaedi ◽  
...  
Keyword(s):  
Maximum Likelihood ◽  
Maximum Likelihood Estimation ◽  
Normal Distribution ◽  
Exponential Distribution ◽  
Likelihood Estimation ◽  
Rayleigh Distribution ◽  
Reliability Model ◽  
Method Of Moment ◽  
Life Testing ◽  
Strength Parameters

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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