中数的存在性及其性质

On the Existence and Nature of Median

任意随机变量的中数是存在的,但中数并不具备唯一性,中数在以均值为中心标准差为半径的范围内取值(E|ξ-bξm|mEξ+bξ),且满足E|ξ-m|E|ξ-α|。

Median of any random variable is always in existence, but it is not unique. It satisfies the following formula: E｜ξ-bξm｜mEξ+ and E｜ξ-m｜E｜ξ-α｜.