Confidence ellipsoids for regression coefficients by observations from a mixture

Confidence ellipsoids for linear regression coefficients are constructed by observations from a mixture with varying concentrations. Two approaches are discussed. The first one is the nonparametric approach based on the weighted least squares technique. The second one is an approximate maximum likel...

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Bibliographic Details
Main Authors: Vitalii Miroshnichenko, Rostyslav Maiboroda
Format: Article
Language:English
Published: VTeX 2018-06-01
Series:Modern Stochastics: Theory and Applications
Subjects:
Online Access:https://vmsta.vtex.vmt/doi/10.15559/18-VMSTA105
Description
Summary:Confidence ellipsoids for linear regression coefficients are constructed by observations from a mixture with varying concentrations. Two approaches are discussed. The first one is the nonparametric approach based on the weighted least squares technique. The second one is an approximate maximum likelihood estimation with application of the EM-algorithm for the estimates calculation.
ISSN:2351-6046
2351-6054