Are robust estimation methods useful in the structural errors-in-variables model?

Metrika ◽  
1984 ◽  
Vol 31 (1) ◽  
pp. 33-41 ◽  
Author(s):  
R. H. Ketellapper ◽  
A. E. Ronner
1981 ◽  
Vol 10 (2) ◽  
pp. 165-185 ◽  
Author(s):  
Lawrence C. Hamilton

Exploratory data analysis (EDA) is used to study errors in self-reports of lest scores and grades from a survey sample of college students. Both response and non-response are found to be systematically biased, with unfortunate effects in combination. Errors are not normally distributed, and would be better modeled as contaminated distributions made up of two or more simple distributions. Errors are correlated with each other and with other variables, leading to spuriously inflated as well as deflated intervariable correlations. These findings may be typical of survey data in general; hence, more realistic error models and robust estimation methods are desirable.


2011 ◽  
Vol 57 (3) ◽  
pp. 14-29
Author(s):  
Silvia Gašincová ◽  
Juraj Gašinec ◽  
Gabriel Weiss ◽  
Slavomír Labant

Abstract The basis of mathematical analysis of geodetic measurements is the method of least squares (LSM), whose bicentenary we celebrated in 2006. In geodetic practice, we quite often encounter the phenomenon when outlier measurements penetrate into the set of measured data as a result of e.g. the impact of physical environment. That fact led to modifications of LSM that have been increasingly published mainly in foreign literature in recent years. The mentioned alternative estimation methods are e.g. robust estimation methods and methods in linear programming. The aim of the present paper is to compare LSM with the robust estimation methods on an example of a regression line.


2016 ◽  
Vol 85 (2) ◽  
pp. 270-289 ◽  
Author(s):  
Robert Graham Clark ◽  
Philip Kokic ◽  
Paul A. Smith

2011 ◽  
Vol 49 (4) ◽  
pp. 901-937 ◽  
Author(s):  
Xiaohong Chen ◽  
Han Hong ◽  
Denis Nekipelov

Measurement errors in economic data are pervasive and nontrivial in size. The presence of measurement errors causes biased and inconsistent parameter estimates and leads to erroneous conclusions to various degrees in economic analysis. While linear errors-in-variables models are usually handled with well-known instrumental variable methods, this article provides an overview of recent research papers that derive estimation methods that provide consistent estimates for nonlinear models with measurement errors. We review models with both classical and nonclassical measurement errors, and with misclassification of discrete variables. For each of the methods surveyed, we describe the key ideas for identification and estimation, and discuss its application whenever it is currently available. (JEL C20, C26, C50)


2017 ◽  
pp. 235-268
Author(s):  
Joop J. Hox ◽  
Mirjam Moerbeek ◽  
Rens van de Schoot

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