Reliability Estimation for a Component Exposed Two, Three Independent Stresses Based on Weibull and InversLindley Distribution

Abstract

The reliability function for a component which has strength  independently exposed two stresses ; , also when exposed three stresses;    using Weibull distribution with unknown scale and known shape parameters ,and using Invers Lindley distribution  . Estimate the reliability ,  for Weibull distribution by four methods (MLE,MOM,LSE and WLSE) and also in the numerical simulation study a comparison between the four estimates by MES ,MAPE are introduced.

Keywords: Weibull , Invers Lindley  distribution , stress-strength,  reliability estimation, MLE, MOM , LSE and WLS estimation.