Abstract: Mathematical modeling of surface deformations caused by underground mining operation is commonly carried out with the use of empirical, numerical or stochastic models. One of the most frequently applied models for prediction of the ground deformation in many countries is Knothe model. The model, developed by Knothe as a stochastic method, is based on the influence function. In China a prediction method named probability integral method was established by Baochen Liu and Guohua Liao based on the stochastic medium theory. Modified version of this model allows to predict ground movements caused by mining operation in extremely complex technical and geological conditions. This model is commonly applied for coal, metal ore and salt deposits. The paper presents several modifications of the mathematical model used in China and Poland. The model is very widespread in the world, therefore the generalizations proposed herein can be implemented for the purposes of prediction of the surface deformations for various types of deposits in many countries. The presented generalizations were then tested on specific examples of coal mining, copper ore mining and rock salt deposit. The obtained results indicated high efficiency of this method based on the influence function in complex geological and mining conditions.