Cascade stress-strength system Reliability Estimation of Inverse Rayleigh Distribution

Abstract

The electronic devices, equipment and complex machines used in many fields such as telecommunications, medicine, astronautics and others are all subject to malfunctions, which cause material and moral losses, waste of time and other damages. Hence the importance of reliability issue in our working life by evaluating the performance and efficiency of these systems and Measuring the reliability of any device will be the basis for the development of most of these devices . Then In this paper will  discussed the Estimation of Reliability Rn for cascade system when the stress and strength are Inverse Rayleigh distributed random variables. under-voltage rating. The cascade system is a redundant component system, which is a redundant component with under-voltage rating and independently distributed power, in which the redundant component replaces the faulty component.. Cascade system is a special case of Stress- Strength models system. Also we discussed the Estimation of Marginal Reliabilities R1, R2 and R3 for Cascade system by three estimation methods (Max. likelihood, Weighted Least Square, Least Square) and Compare between the estimators  of  R4. © 2018 JASET, International Scholars and Researchers Association