随机漫步理论的另一个假设是价格变动符合可能性分布(Chitenderu, Maredza和Sibanda, 2014)。然而，在这两个假设之间，独立性是最重要的。价格变动的分配模型被认为是对希望在这一领域从事实际工作的个人的重要信息。统计工具的强度通常与它的功能特性密切相关。
According to the author, the theory of the random walks regarding the security prices in genuine sense associates with two different hypotheses which are as follows:
The successive price alterations are independent.
The price alterations are conventional to some possibility distribution.
According to the article, a range of successive price alterations is adequate to account for some specific property of the distribution of price alterations. In case the real in the ranges is not adequate to explain for the property in question, the statistician may take an independent hypothesis as a sufficient description of the reality (Chen, 2010).
Independence of consecutive price alteration for a specific stock may simply imitate a price mechanism that is completely dissimilar to the actual world of economies along with the political events.
Another hypothesis of the theory of random walks is indicated to be the price alteration that conforms to possibility distribution (Chitenderu, Maredza and Sibanda, 2014). However, between the two hypotheses, the independence is the most significant. The model of the distribution of the price alterations is considered as important information to an individual who wishes to perform the practical job in this field. The strength of statistical tools is in general closely connected to the nature of data to which it is functional.