One , Two and Multi-Component Gompertz Stress- strength Reliability Estimation

Abstract

The reliability function for a component which has strength independently exposed three stresses ; , two component parallel which are subjected to a common stress; , and for a multi-component;  using Gompertz distribution with unknown location and known shape parameters, are parameter derived from a stress- strength models. Estimate the reliability ,  and  by three methods MLE, LSE and WLSE) and also in the numerical simulation study a comparison between the three estimates by  MES  is introduced.

Keywords: Gompertz distribution, components stress-strength, reliability, estimation, ML, LS and WLS estimation.