In the present study, the implicit integration scheme using the Distributed LOAD (DLOAD) subroutine has been adopted in a finite element numerical model to forecast the behavior of pavement subjected to moving load. Statistical computation using the F-test, T-test, and chi-square methods was performed to forecast the displacement behavior of pavement. The results obtained using the finite element program show a non-monotonic increase in the post-elastic domain. Considering the vulnerability of pavement failure, the peak displacement values have been selected to obtain the Prob > F, Prob > |t|, dependency, and convergence for reproducibility using the novel empirical equation proposed in this work. The results were found in the 95% confidence and 95% prediction band for the set of selected velocities considered in this study. On a scale of 0 to 1, the dependency of statistical parameters was found in the range of 0.95 to 1, neglecting the one case where the dependence was 0.8. This issue was resolved by reduced chi-square and adjusted R-square with convergence of the data from 80 to 97.6%. Hence, it can be stated that the novel statistical computation model presented in this research work has the potential to predict the post-elastic response of the pavement-soil system and its uses in the design of pavements.