Strong and weak consistency of least squares estimators in simple linear EV regression models

2020 ◽  
Vol 205 ◽  
pp. 64-73 ◽  
Author(s):  
Pingyan Chen ◽  
Luliang Wen ◽  
Soo Hak Sung
Keyword(s):  
Least Squares ◽  
Regression Models ◽  
Weak Consistency ◽  
Least Squares Estimators ◽  
Ev Regression Models

On Consistency of Estimators in Simple Linear Regression Models

2002 ◽  
Vol 53 (3-4) ◽  
pp. 261-264 ◽  
Author(s):  
Anindya Roy ◽  
Thomas I. Seidman
Keyword(s):  
Linear Regression ◽  
Least Squares ◽  
Regression Models ◽  
Sufficient Condition ◽  
Simple Linear Regression ◽  
Linear Regression Models ◽  
Least Squares Estimators

We derive a property of real sequences which can be used to provide a natural sufficient condition for the consistency of the least squares estimators of slope and intercept for a simple linear regression models.

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