With this newly proposed statistical models, we can construct the accurate relation between data complexity and success probability, which gives the chance to make further trade-offs. Based on our statistical models, we can mount 29-round attacks on PRESENT-80 and PRESENT-128 without using full-codebook. Both attacks are the best ones so far. In future, there are plenty of interesting works. On the one hand, further applications on other ciphers using this technique with our statistical models are encouraged. On the other hand, statistical behaviors behind this technique when combing with other variants of linear attacks are worth to be discovered, such as for the multidimensional linear attacks or multivariate ones, or even for linear attacks using (multiple) zero-correlation linear hulls.