Aspects of statistical inference

Abstract

With the background in previous chapters, problems of statistical inference with fuzzy data should be somewhat straightforward in principle! By that we mean replacing random vectors by random fuzzy sets in all aspects of statistical inference. Of course, as in any generalization problem, this is just a guideline. Due to the nature of fuzzy data, as observations from random fuzzy sets, technical difficulties are expected in developing the theory. In fact, actual research is aiming at investigating, say, limit theorems for random fuzzy sets in order to provide rationale for large sample samples statistics with fuzzy data. © Springer-Verlag Berlin Heidelberg 2006.