Abstract
One of the generalizations of statistical convergence is I-convergence which was introduced by Kostyrko et al. [12]. In this paper, we define and study the concept of I-convergence, I*-convergence, I-limit points and I-cluster points of double sequences in probabilistic normed space. We discuss the relationship between I-2-convergence and I-2*-convergence, i.e., we show that I-2*-convergence implies I-2-convergence in probabilistic normed space. Furthermore, we have also demonstrated through an example that, in general, I-2-convergence does not imply I-2*-convergence in probabilistic normed space.