Application of Bayesian method based on random weighting in reliability parameter estimation;

The SPOT method for reliability verification under two parameter weibull distribution is discussed,whereas there is little history data,random weighting simulation is used to estimate the figure parameter of Weibull distribution and the prior test parameter.

Using the random weighting method, its approximating distribution which is more precise than normal approximation is obtained.

Mean ergodic theorems for square sequence with random weights;

Approximation to the distribution of least distances estimate in multivariate linear models by randomly weighted bootstrap;

The randomly weighted bootstrap method provides a way of assessing the distribution of the M-estimators without estimating the nuisance quantities of the error distributions.

This paper is concerned with the consistency and asymptotic normality on the RSS M-estimates and approximation to its distribution by randomly weighted bootstrap.

Aimming at the small sample of strapdown inertial measurement unit (SIMU) successive test data, a random weighting method is used to get the prior distribution function of population’s parameter with the known prior information under the situation that the parameters’ format of general distribution is unknown.

Bootstrap method and random weighting method are used to assess the individual bioequivalence(IBE),the power of hypothesis test is simulated,power of random weighting percentile method is the most excellent.