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In phase transition phenomena, the estimation of the critical point iscrucial for the calculation of the various critical exponents and thedetermination of the universality class they belong to. However, this is not aneasy task, since a huge amount of realizations is needed to eliminate the noisein the data. In this paper, we introduce a novel method for the simultaneousestimation of the critical point $p_c$ and the critical exponent $\beta/\nu$,applied for the case of "explosive" bond percolation on $2D$ square latticesand ER networks. The results show that with only a few hundred of realizations,it is possible to acquire accurate values for these quantities. Guidelines aregiven at the end for the applicability of the method to other cases as well.

Method for estimating critical exponents in percolation processes with low sampling