Statistical convergence on probalistic normed spaces

In this paper we define concepts of statistical conver- gence and statistical Cauchy on probabilistic normed spaces. Then we give a useful characterization for statistically convergent sequences. Fur- thermore, we display an example such that our method of convergence is stronger than the usual convergence on probabilistic normed spaces. We also introduce statistical limit points, statistical cluster points on proba- bilistic normed spaces and then we give the relations between these and limit points of sequence on probabilistic normed spaces.