To deal with optimal selection for empirical distribution,we propose"mean square distance"by introducing square loss function,and derive a"new"empirical distribution function,which is shown to be optimal.

Probabilistic distribution of geotechnical parameters by using AHP prior distribution fusion method;

The design of bayesian classification and discrimination method among several populations based on diffuse prior distribution;

It is usually assumed that the prior distributions of parameters and error are Gaussian distribution in remote sensing inversion.

Using the failure data of aviation engine parts,the paper estimated the parameters for six kinds of possible life distributions and determined their actual life distributions with distribution tests.

Failure distribution test and parameter estimation of airborne equipment are importamk task in reliability engineering, On the basis of the study of reliability data, computer testing failure distribution andestimating parameters have been implemented.

In view of the applied background of CFAR processor in multi-distribution clutter,the detection performances of the clutter distribution test CFAR(CT-CFAR) are investigated.

Robustness analysis for the prior distribution;

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.

Aiming at the small sample of strapdown inertial measurement unit (SIMU) successive test data,bootstrap method is used to get the prior distribution of population parameter of SIMU successive test data with the prior informa- tion,when the distribution form of population parameter is unknown.

Prior and posterior distribution of SIMU successive test data was set up by the method and the information of pretest,sample and population.