Dependent count discrete data arise in the areas of spatial point pattern process. In this fields, number of points in any arbitrary region are affected by the distance to the especial focus. For analysis of these points it is necessary to find the correlation structure of counts variables and the distance to the special focus. These dependency can be considered as the Poisson-Weibull distribution for analysis of spatially dependent discrete-continues data. In this paper, by implementing the introducing of concentric buffers around to the especial focus and identifying the properties of valid spatial point pattern copula, the count-distance based data are modeled. Next, for prediction of counts, based on continuous extension of counts random variables a function was achieved and it is approximated by Monte Carlo method. Finally, based on achieved function we predict the numbers of Rats in some important regions of Madrid city.
