Abstract
This paper concerned with estimation reliability ( for K components parallel system of the stress-strength model with non-identical components which is subjected to a common stress, when the stress and strength follow the Generalized Exponential Distribution (GED) with unknown shape parameter α and the known scale parameter θ (θ=1) to be common. Different shrinkage estimation methods will be considered to estimate depending on maximum likelihood estimator and prior estimates based on simulation using mean squared error (MSE) criteria. The study approved that the shrinkage estimation using shrinkage weight function was the best.
Highlights
At a specific time, the reliability is defined as a probability that the intended functions under specified operational conditions and environments the item will be performed
Estimation Methods of Rk: 2-1 Maximum Likelihood Estimator (MLE): Let k be a component of a system is put on the life–testing experiment
2-2-2 Constant Shrinkage Weight Factor: We suggest in this subsection constant shrinkage weight factor φ α 0.3; i=1,2,...,k+1
Summary
The reliability is defined as a probability that the intended functions under specified operational conditions and environments the item will be performed. The reliability function is a function of the lifetime which is monotonically decreasing function; it is a quantitative measure of the quality of the item. The reliability over time exhibit decreasing in all mechanical systems and their materials degrade as they age because their components are not ideal [1]. The widest approach is the well-known application of reliability estimation is the model of stress–strength. This model is used in many applications of system collapse and engineering such as strength failure and physics. Some systems of engineering, which may have more than one component there may fail together or separately
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