Remote Access Theory of Probability and Mathematical Statistics

Theory of Probability and Mathematical Statistics

ISSN 1547-7363(online) ISSN 0094-9000(print)

 
 

 

Orthogonal regression method for observations from a mixture


Authors: R. E. Maĭboroda, G. V. Navara and O. V. Sugakova
Translated by: S. V. Kvasko
Journal: Theor. Probability and Math. Statist. 99 (2019), 169-188
MSC (2010): Primary 62G05, 62G20; Secondary 62J05
DOI: https://doi.org/10.1090/tpms/1088
Published electronically: February 27, 2020
MathSciNet review: 3908664
Full-text PDF

Abstract | References | Similar Articles | Additional Information

Abstract: A generalization of the orthogonal regression method is considered for estimating parameters of the simple linear regression model with errors in variables for observations from a mixture with varying concentrations. The consistency and asymptotic normality is proved for the estimators studied in the paper. The dispersion matrix is established.


References [Enhancements On Off] (What's this?)

References

Similar Articles

Retrieve articles in Theory of Probability and Mathematical Statistics with MSC (2010): 62G05, 62G20, 62J05

Retrieve articles in all journals with MSC (2010): 62G05, 62G20, 62J05


Additional Information

R. E. Maĭboroda
Affiliation: Department of Probability Theory, Statistics, and Actuarial Mathematics, Faculty for Mechanics and Mathematics, Kyiv Taras Shevchenko National University, Volodymyrs’ka Street, 64/13, Kyiv 01601, Ukraine
Email: mre@univ.kiev.ua

G. V. Navara
Affiliation: Department of Probability Theory, Statistics, and Actuarial Mathematics, Faculty for Mechanics and Mathematics, Kyiv Taras Shevchenko National University, Volodymyrs’ka Street, 64/13, Kyiv 01601, Ukraine
Email: mrswade111017@gmail.com

O. V. Sugakova
Affiliation: Department of Mathematics and Theoretical Radiophysics, Faculty for Radiophysics, Electronics, and Computer Systems, Kyiv Taras Shevchenko National University, Volodymyrs’ka Street, 64/13, Kyiv 01601, Ukraine
Email: sugak@univ.kiev.ua

Keywords: Model of a mixture, orthogonal regression, method of generalized estimating equations
Received by editor(s): March 4, 2018
Published electronically: February 27, 2020
Article copyright: © Copyright 2020 American Mathematical Society