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Stress-Strength Reliability for Monsef Distribution |
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PP: 1107-1126 |
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doi:10.18576/jsap/130320
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Author(s) |
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M. M. E. Abd El-Monsef,
E. I. Soliman,
M. A. El-Qurashi,
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Abstract |
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| The investigation of the reliability of any component tested in the field of life model is a challenge. Without a doubt, one of the most critical concerns is "stress “s” strength “S” reliability". This paper aims to discuss how the stress- strength coefficient R = P(Y < X ) from any statistical literature Can be estimated. System reshaping is subjected to a
random force X in such a way that the system fails if the stress exceeds the force. The reliability of stress resistance is examined in this study when force X has a Monsef distribution “ME” and stress (Y1 ,Y2 ,Y3 ,Y4 ,Y5 and Y6 ) has an ME
distribution, Lindley distribution “Lin”, Rayleigh distribution “Ray”, Exponential distribution “Exp”, Half-Normal distribution “HN” and Rayleigh Half-Normal distribution “RHN” respectively. Explicitly obtaining the maximum probability estimator for the unknown parameter is also possible. Additionally, the maximum likelihood estimation of “MLEs” asymptotic distribution obtained which can be used to construct a confidence interval for R. The proposed model is compared with other existence models using simulations, and an illustrative data analysis was performed. Finally, we determined that the maximum product of the spacing method yielded the best results.
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