On the Ergodicity of lst-order Probability Distributon Functions of Stochastic Process

This article give a sufficient and necessary condition for the ergodicity of lst-order probality distribution,and further generalizs the general distributed theorm about the stochastic variable functions under a weaker condition, With the aid of these results, We discuss the ergodicity of Ist-order distribution fuctions of periodic process of stochastic initial phase, Finally,as an application, we construct a model of white noise by means of stochastic process of I-dimension homogeneouos distribution.