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Robust Variance Components Estimation in the PERG Mixed Distributions of Empirical Variances—PEROBVC Method

A mixed distribution of empirical variances, 
composed of two distributions the basic and contaminating ones, and referred to 
as PERG mixed distribution of empirical variances, is considered. In the paper 
a robust inverse problem solution is given, namely a (new) robust method for 
estimation of variances of both distributions—PEROBVC Method, as well as the 
estimates for the numbers of observations for both distributions and, in this 
way also the estimate of contamination degree.