Jackknife covariance matrix estimation for observations from mixture
Open Access
- 7 November 2019
- journal article
- research article
- Published by VTeX in Modern Stochastics: Theory and Applications
- Vol. 6 (4), 495-513
- https://doi.org/10.15559/19-vmsta145
Abstract
Publisher: VTeX - Solutions for Science Publishing, Journal: Modern Stochastics - Theory and Applications, Title: Jackknife covariance matrix estimation for observations from mixture, Authors: Rostyslav Maiboroda, Olena Sugakova , A general jackknife estimator for the asymptotic covariance of moment estimators is considered in the case when the sample is taken from a mixture with varying concentrations of components. Consistency of the estimator is demonstrated. A fast algorithm for its calculation is described. The estimator is applied to construction of confidence sets for regression parameters in the linear regression with errors in variables. An application to sociological data analysis is considered.Keywords
This publication has 8 references indexed in Scilit:
- Finite Mixture ModelsAnnual Review of Statistics and Its Application, 2019
- Confidence ellipsoids for regression coefficients by observations from a mixtureModern Stochastics: Theory and Applications, 2018
- Statistics of mixtures with varying concentrations with application to DNA microarray data analysisJournal of Nonparametric Statistics, 2012
- Linear Regression AnalysisWiley Series in Probability and Statistics, 2003
- Mathematical StatisticsPublished by Springer Science and Business Media LLC ,2003
- Total Least Squares in AstronomyPublished by Springer Science and Business Media LLC ,2002
- Modeling Survival Data: Extending the Cox ModelPublished by Springer Science and Business Media LLC ,2000
- The Jackknife and BootstrapPublished by Springer Science and Business Media LLC ,1995