多项式函数的判定及其在概率系统辨识中的应用

Determination of Polynomials and Its Application to Characterization of Probability Distributions

讨论了一类特殊的函数方程,证明满足方程的函数为次数不超过某一估计值的多项式函数,并且用这个结果讨论了一类随机系统中的辨识问题,对已有的结果作了一定的推广.

A kind of functional equations,whose solutions must be polynomials,is considered.The known result of the characterization of probability distributions by linear forms is improved by applying the theory of these functional equations.