A weighted sampling method developed to improve radiography quality combines the characteristics of the X-ray attenuation in the object,weighted factors for describing the particle transmission and random sampling.

Methods Sampling weights are utilized to calculate population quantities of interest,and their variances are estimated by Taylor series linearization,and a practical example is also presented in this article.

Digital simulation of fuzzy reliability based on the importance sampling method;

An adaptive importance sampling algorithm is presented to evaluate fuzzy-random general failure probability,where a simulated annealing optimization is employed to seek the fuzzy-random design point—the Most Probable Failure Point(MPFP) in the failure region.

The zero-variance technique is used to analyze a highly efficient importance sampling method developed by S.

This paper discusses in some details how to apply the method of repeat replications to the regression analysis, including both the linear and the nonlinear models.

In this paper,in order to establish a practical and reliable risk assessing system of platform structures,a stochastic simulation technique based on the importance sampling procedure is used to estimate the structure failure probability for CB12-C platform in th.

Owing to the fact that the structural system reliability can be formulated by the main failure modes,the RPAM is used to evaluate the structural system earthquake resistant reliability,and its precision is verified by the importance sampling method.

In this paper, JC method, random throwing - dot method and the importance sampling method of Monte - Carlo Method are adopted to calculate the failure probability and the reliability index of foundation bearing capacity.

The application of the importance sampling method in the engineering examples,including an unstable problem and the total life of crack initiating and crack expanding,is discussed in the paper.