Bias factor in anisotropic stochastic fields

The geometrical and topological measures enable us to characterize stochastic field systematically, and  the relation between weighted and unweighted N-point functions is provided. One of such relations is given by the bias factor. In this paper, based on peak statistics, we study the bias factor for stochastic and anisotropic fields. Accordingly, we present the analytical description of local and linear bias factor. Doing simulations, we examine the validation of  the derived analytical relation. Our results show that at high threshold level and large spatial separation, there exists a good agreement between the analytical calculation and numerical computations.