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Estimation of Reliability in Multicomponent Stress-Strength based On Inverse Rayleigh Distribution |
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PP: 261-267 |
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Author(s) |
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G. Srinivasa Rao,
R. R. L. Kantam,
K. Rosaiah,
J. Pratapa Reddy,
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Abstract |
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| A multicomponent system of k components having strengths following k– independently and identically distributed random
variables and each component experiencing a random stress Y is considered. The systemis regarded as alive only if at least s out of k (s<
k) strengths exceed the stress. The reliability of such a system is obtained when strength, stress variates are given by inverse Rayleigh
distribution with different scale parameters. The reliability is estimated using the Moment method and ML method of estimation
when samples drawn from strength and stress distributions. The reliability estimators are compared asymptotically. The small sample
comparison of the reliability estimates is made through Monte Carlo simulation. |
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