article Open Access
Cascade reliability of stress-strength system for the new Rayleigh-Pareto distribution
International Journal of Statistics and Applied Mathematics · 2020 · Vol. 5(2) · pp. 131–139
Abstract
In This paper we present the estimation of stress strength model by considering cascade stress strength model. The system survives if and only if the strength is greater than stress, otherwise fails. The statistical model is derived to study the cascade and system reliability. Here we assume that all the components are independents and follow the New Rayleigh-Pareto strength stress distribution. The first four cascade reliabilities are obtained for various values of strength-stress parameters. The statistical variation in cascade and system reliability is shown graphically.
Probabilistic and Robust Engineering DesignStatistical Distribution Estimation and ApplicationsFatigue and fracture mechanicsCascadeRayleigh distributionReliability (semiconductor)Stress (linguistics)Pareto principleStress testing (software)Pareto distributionReliability engineeringMathematicsStatistics
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