Diversity analysis in multiple-choice questionnaires

We extend the analysis of the diversity of questionnaires with binary (yes–no) answers to the case of questionnaires with multiple answers. It has been demonstrated that the original techniques used by Khmaladze (2009) are universal and can be applied to prove limit theorems for more general cases. It was shown that this different framework again leads us to a model similar to that for a large number of rare events that Khmaladze obtained in Khmaladze (2009), namely, to the so called Karlin–Rouault law.