Abstract: Element momentum, velocity and translation probability distributions for a Newtonian fluid(or pscudo-fluid) are established by implementing the-stochastic theory. Theoretical distributions as derived show excellent agreement with all the sets of data from rigorous lab-scale experiments in a one dimensional vibratory shallow fluidized bed under various opera ting conditions. The paper also demonstrates that the movement of particles is a Markov process under proper fluidization. All these indicate the perspective of further implementing the stochastic theory in fluidization.