caa a22 4500 605519552 CHVBK 20210128100731.0 cr unu---uuuuu 210128e20150301xx s 000 0 eng 10.1007/s11009-013-9349-4 doi (NATIONALLICENCE)springer-10.1007/s11009-013-9349-4 Sampling Bias Correction in the Model of Mixtures with Varying Concentrations [Elektronische Daten] [Olena Sugakova, Rostyslav Maiboroda] Model of mixture with varying concentrations is a generalization of the classical finite mixture model in which the mixing probabilities (concentrations) vary from observation to observation. We consider the case when the concentrations of the mixture components are known, but no assumptions on the distributions of the observed variable are made. The problem is to estimate the moments of the components' distributions. We propose a modification of the Horvitz-Thompson weighting for moments estimation by observations from mixture with varying concentrations in presence of sampling bias. Consistency of obtained estimators is demonstrated. Results of simulations are presented. Springer Science+Business Media New York, 2013 Biased sampling nationallicence Horvitz-Thompson weights nationallicence Finite mixture model nationallicence Mixture with varying concentrations nationallicence Consistency nationallicence Nonparametric estimation nationallicence Sugakova Olena Department of Mathematics and Theoretical Radiophysics, Taras Shevchenko National University of Kyiv, Kyiv, Ukraine aut Maiboroda Rostyslav Department of Probability, Statistics and Actuarial Mathematics, Taras Shevchenko National University of Kyiv, Kyiv, Ukraine aut Methodology and Computing in Applied Probability Springer US; http://www.springer-ny.com 17/1(2015-03-01), 223-234 1387-5841 17:1<223 2015 17 11009 https://doi.org/10.1007/s11009-013-9349-4 text/html Onlinezugriff via DOI BK010053 XK010053 XK010000 Metadata rights reserved Springer special CC-BY-NC licence nationallicence 1 research-article jats NATIONALLICENCE NATIONALLICENCE NL-springer NATIONALLICENCE 856 40 https://doi.org/10.1007/s11009-013-9349-4 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Sugakova Olena Department of Mathematics and Theoretical Radiophysics, Taras Shevchenko National University of Kyiv, Kyiv, Ukraine aut NATIONALLICENCE 700 1- Maiboroda Rostyslav Department of Probability, Statistics and Actuarial Mathematics, Taras Shevchenko National University of Kyiv, Kyiv, Ukraine aut NATIONALLICENCE 773 0- Methodology and Computing in Applied Probability Springer US; http://www.springer-ny.com 17/1(2015-03-01), 223-234 1387-5841 17:1<223 2015 17 11009