STATISTICAL INFERENCE FROM SET-VALUED OBSERVATIONS
Abstract: Consider a random experiment whose true (unknown) outcome is modelled by a
certain random element and the available imprecise observations are modelled by some
random set such that almost surely. The purpose of the paper is to propose a
statistical procedure for estimation of the real distribution of The asymptotic
properties of the suggested procedure are then investigated in both nonparametric and
parametric settings. So far, only the results for a finite sample space are available.
1991 AMS Mathematics Subject Classification: Primary: -; Secondary: -;
Key words and phrases: -