We establish its dual random model in which the force interest accumulation function is joint by both reflected Brownian motion (RBM) and Poisson process, and obtain all orders of moment of the present value of the benefits.

At last,this paper sets up a random model of interest rate combined with reflected Brownian motion and Gamma Distribution,the pure insurance premium and pure insurance premium responsibility reserves are obtained according to this model.

On the basis of those,in this paper,we give the definition of semi Markov Brownian motion,and deal with its existence,one dimensional distribution,distributions and moments of integral type functional.

Brownian Motion and dynamic light scattering to Characterize Particle Size;

Brownian motion measurement of nano particles with the SPT method;

Effect of confined geometry on Brownian motion;

An analysis of influence led by Brownian movement on measurement result of Millikan s oil-drop;

The Submicron particles suspended in liquld do Brownian movement and it's mov-ing disolacement is relation to the particle size.

This paper introduces a new method that measures Brownian movement track and particle s size of submicron particles according to Langevin s Brownian movement theory.