Sampling Bias Correction in the Model of Mixtures with Varying Concentrations

Verfasser / Beitragende:
[Olena Sugakova, Rostyslav Maiboroda]
Ort, Verlag, Jahr:
2015
Enthalten in:
Methodology and Computing in Applied Probability, 17/1(2015-03-01), 223-234
Format:
Artikel (online)
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024 7 0 |a 10.1007/s11009-013-9349-4  |2 doi 
035 |a (NATIONALLICENCE)springer-10.1007/s11009-013-9349-4 
245 0 0 |a Sampling Bias Correction in the Model of Mixtures with Varying Concentrations  |h [Elektronische Daten]  |c [Olena Sugakova, Rostyslav Maiboroda] 
520 3 |a 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. 
540 |a Springer Science+Business Media New York, 2013 
690 7 |a Biased sampling  |2 nationallicence 
690 7 |a Horvitz-Thompson weights  |2 nationallicence 
690 7 |a Finite mixture model  |2 nationallicence 
690 7 |a Mixture with varying concentrations  |2 nationallicence 
690 7 |a Consistency  |2 nationallicence 
690 7 |a Nonparametric estimation  |2 nationallicence 
700 1 |a Sugakova  |D Olena  |u Department of Mathematics and Theoretical Radiophysics, Taras Shevchenko National University of Kyiv, Kyiv, Ukraine  |4 aut 
700 1 |a Maiboroda  |D Rostyslav  |u Department of Probability, Statistics and Actuarial Mathematics, Taras Shevchenko National University of Kyiv, Kyiv, Ukraine  |4 aut 
773 0 |t Methodology and Computing in Applied Probability  |d Springer US; http://www.springer-ny.com  |g 17/1(2015-03-01), 223-234  |x 1387-5841  |q 17:1<223  |1 2015  |2 17  |o 11009 
856 4 0 |u https://doi.org/10.1007/s11009-013-9349-4  |q text/html  |z Onlinezugriff via DOI 
898 |a BK010053  |b XK010053  |c XK010000 
900 7 |a Metadata rights reserved  |b Springer special CC-BY-NC licence  |2 nationallicence 
908 |D 1  |a research-article  |2 jats 
949 |B NATIONALLICENCE  |F NATIONALLICENCE  |b NL-springer 
950 |B NATIONALLICENCE  |P 856  |E 40  |u https://doi.org/10.1007/s11009-013-9349-4  |q text/html  |z Onlinezugriff via DOI 
950 |B NATIONALLICENCE  |P 700  |E 1-  |a Sugakova  |D Olena  |u Department of Mathematics and Theoretical Radiophysics, Taras Shevchenko National University of Kyiv, Kyiv, Ukraine  |4 aut 
950 |B NATIONALLICENCE  |P 700  |E 1-  |a Maiboroda  |D Rostyslav  |u Department of Probability, Statistics and Actuarial Mathematics, Taras Shevchenko National University of Kyiv, Kyiv, Ukraine  |4 aut 
950 |B NATIONALLICENCE  |P 773  |E 0-  |t Methodology and Computing in Applied Probability  |d Springer US; http://www.springer-ny.com  |g 17/1(2015-03-01), 223-234  |x 1387-5841  |q 17:1<223  |1 2015  |2 17  |o 11009