Estimate Reliability Function of Inverse Lindley for Strength – Stress Models

Abstract

Cascade models are considered as a special case of standby redundancy of stress strength modes. Inverse Lindley distribution belong to an exponential family distribution and it can be written as invers of Lindley distribution
 This study concerns some Inverse Lindley Distribution’s properties. cascade models with stress and strength variables that follow inverse Lindley distribution has been simulated. Reliability function of inverse Lindsley distribution for stress strength cascade models was estimated using both Likelihood and Bayes method. Compresence between these two methods has been made.