Stress-strength reliability problems arise frequently in applied statistics and related fields. Often they involve two independent and possibly small samples of measurements on strength and breakdown pressures (stress). The goal of the researcher is to use the measurements to obtain inference on reliability, which is the probability that stress will exceed strength. This paper addresses the cas...

A second-order hierarchical uncertainty model of a system of independent random variables is studied in the paper. It is shown that the complex nonlinear optimization problem for reducing the second-order model to the firstorder one can be represented as a finite set of simple linear programming problems with a finite number of constraints. The stress-strength reliability analysis by unreliable...

This paper discusses the problem of the estimation of stressed system reliability under both classical and Bayesian paradigms. It is assumed that the strength of a system and the environmental stress applied on it, follow the generalized Lindley distribution. For Bayesian calculation, we proposed the use of MCMC technique viz Metropolis-Hastings algorithm to approximate the posteriors of the st...

Abstract-This paper presents the reliability computation and Bayesian estimation of system reliability when the applied stress and strength follows the power function distribution. The Power Function Distribution is considered as a simple model to assess component reliability and may exhibit a better fit for failure data and also provide more appropriate information about hazard rate. The resul...

This paper presents estimation of reliability R P(X Y)   of a system, for the cases when its strength (X) and stress (Y) follow exponential, normal or gamma distributions, using Monte Carlo simulation (MCS). First the parameters of strength and / stress are estimated and substituting them in the reliability expressions, in different cases, the estimates of reliability are obtained. Normal dis...

The reliability analysis method and the allowable stress method were both applied in this study to determine design values of ultimate compression strength (UCS) of visually-graded 40 x 65 mm dimension Chinese larch lumber. A total of 784 lumber samples were tested on the static full-size compression strength, according to Chinese National Standards. The goodness-of-fit for the UCS distribution...