English

Linear regression by observations from mixture with varying concentrations

Probability 2016-01-07 v1

Abstract

We consider a finite mixture model with varying mixing probabilities. Linear regression models are assumed for observed variables with coefficients depending on the mixture component the observed subject belongs to. A modification of the least-squares estimator is proposed for estimation of the regression coefficients. Consistency and asymptotic normality of the estimates is demonstrated.

Keywords

Cite

@article{arxiv.1601.01109,
  title  = {Linear regression by observations from mixture with varying concentrations},
  author = {Daryna Liubashenko and Rostyslav Maiboroda},
  journal= {arXiv preprint arXiv:1601.01109},
  year   = {2016}
}

Comments

Published at http://dx.doi.org/10.15559/15-VMSTA41 in the Modern Stochastics: Theory and Applications (https://www.i-journals.org/vtxpp/VMSTA) by VTeX (http://www.vtex.lt/)

R2 v1 2026-06-22T12:23:52.853Z