Reliability of the cascade system for Stress-Strength System For the Inverse Lindley distribution

Abstract

The theoretical part of this thesis involves the derivation of the mathematical formula of the cascade system for more than one component that has the strength (x) and getting independent stress (Y_1) with an attenuation factor (k) which works to recertification the path of this system and make it works in right way. Also, this work reached the reliability function of the Cascade system 〖(R〗_3,R_2) depending on the derivative mathematical formula of the inverse Lindley distribution. Moreover, it was concluded that the reliability of R_3 is increasing by increase the value of the strength parameter, while R_3 is decreasing by increase the value of the stress parameter