Shrinkage estimation of stress strength reliability P (Y❮X❮Z) for lomax distribution based on records

Abstract

The present paper deals with the Shrinkage Estimation of stress strength reliability model R=P[Y❮X❮Z] Where X is the random strength and Y and Z are independent random stress variables follows Lomax Distribution based on record values. In this paper we obtain the shrinkage estimation of R based on record values using Classical and Bayesian Estimation method when the scale parameter ݜ† which is common for all the distribution is known. We illustrated the performance of the estimators using simulation study.