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WROCŁAW UNIVERSITY
OF SCIENCE AND
TECHNOLOGY

Contents of PMS, Vol. 20, Fasc. 2,
pages 223 - 235
 

STATISTICAL INFERENCE FROM SET-VALUED OBSERVATIONS

Tomasz Schreiber

Abstract: Consider a random experiment whose true (unknown) outcome is modelled by a certain random element X and the available imprecise observations are modelled by some random set A such that X (- A almost surely. The purpose of the paper is to propose a statistical procedure for estimation of the real distribution of X. 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: -

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