Complex networks can model the structure and dynamics of different types of systems. It has been shown that they are characterized by a set of measures.In this work, we evaluate the variability of complex networks measures face to perturbations and, for this purpose, we impose controlled perturbations and quantify their effect. We analyze theoretical models (random, small-world and scale-free) and real networks (a collaboration network and a metabolic networks) along with the shortest path length, vertex degree, local cluster coefficient and betweenness centrality measures.In such analysis, we propose the use of three stochastic quantifiers: the Kullback-Leibler divergence and the Jensen-Shannon and Hellinger distances.The sensitivity of these measures was analyzed with respect to the following perturbations: edge addition, edge removal, edge rewiring and node removal, all of them applied at different intensities. The results reveal that the evalu- * Corresponding author. ated measures are influenced by these perturbations. Additionally, hypotheses tests were performed to verify the behavior of the degree distribution to identify the intensity of the perturbations that leads to break this property.Complex networks are systems whose structure is irregular, complex and dynamically evolving in time [1]. In recent years, a number of measures have been developed to quantify the structure and behavior of such systems, which provide a framework that allows its characterization, analysis and modeling, reflecting different features of the network such as, connectivity, centrality, cycles, distances, among others.The choice of an appropriate measure for the characterization of a network is performed by evaluating its behavior, and depends mainly on three factors: (i) data availability, (ii) storage capacity and processing and (iii) interest in characterizing the behavior of the measures. In this procedure, the network is mapped into a feature vector [2]; however, in many cases the mapping is not complete and does not accurately describe the network's real structure. In such cases, it is important to evaluate the performance of the measures when unexpected changes occur in the networks. For instance, what is the behavior of the measures if the network loses links or nodes? or, do these changes break the properties used to describe the network structure? To address such problems, it is necessary to compare different states of the network. In this work, we investigate the use of methods from the Information Theory, in particular the concept of Stochastic Quantifiers, as means to quantify the