About The Researches On Numerical Characteristics Of Geometric Distribution

In this paper, some discussions were given about the numerical characteristics of geometric distribution from the angle of moment. Generalized the characters and the relations about the original moment,central moment and cumulant.Studies the numerical characteristics of geometric distribution with the probability and combinations methods based on the past experiences.Introduces the stirling numbers of the second kind S(p,k)of combinations, given general expressions for the high order original moment,the high order central moment and the high order cumulant with the characters of S(p,k).Also tried to give the simplest expressions and compared with the recursive relations.Calculated some lower order moments with the expressions of three high order moments expressions.Compared the results between the general expressions and the recursive relations.