This thesis introduces some concepts as N random test,N-dimensional samples,N-dimensional random events,and N-dimensional space samples into the classical probability type\'s problem.

An new method for selecting sampling points in response surface method;

The response surface method (RSM) for structural reliability analysis is improved by proposing a new strategy for positioning sampling points.

An optimal combination forecasting method at sample point was set up in this paper,then,two methods of assesing weight coefficient of combination forecasting method were put forward, finally ,a practical case to explicate the rationality and practicability of the methods were given.

Improved algorithm for finding the sample points of algebraic decomposition on plane;

Combined with weighted filtration to successful sample points,it uses the method of sampling in three-dimensional space and range constraint to acquire three-dimensional coordinates of nodes.

Realization of this method will be followed by two steps:First,choose the sample space Ω according to the essential characteristic of event A for which probability will be calculated let the sample space satisfy the condition of "limited、 equiprobable" and AΩ;second,calculate the sample points numbers and nΩ and mΩ included in the Ω and A.