Analysis of the submodularity with quadratic form theory.

Add a paper from Richardson on LSE.

1 files changed, 19 insertions, 0 deletions

diff --git a/notes.bib b/notes.bib
index 785cf1e..db41d54 100644
--- a/notes.bib
+++ b/notes.bib
@@ -149,3 +149,22 @@
   year={1950},
   publisher={JSTOR}
 }
+
+@article{lse,
+     jstor_articletype = {research-article},
+     title = {Least Squares and Grouping Method Estimators in the Errors in Variables Model},
+     author = {Richardson, David H. and Wu, De-Min},
+     journal = {Journal of the American Statistical Association},
+     jstor_issuetitle = {},
+     volume = {65},
+     number = {330},
+     jstor_formatteddate = {Jun., 1970},
+     pages = {pp. 724-748},
+     url = {http://www.jstor.org/stable/2284583},
+     ISSN = {01621459},
+     abstract = {The probability density function of the least squares estimator of the slope coefficient in the errors in variables model is presented. It is shown how the bias and mean-square error of the least squares estimator b depend on the parameters of the model. In particular, for a given sample size, b converges to the true parameter as one of the distribution parameters increased indefinitely. The analysis is supplemented with numerical computations of the relative bias and mean-square error. The distribution function of the grouping method estimator b̄ has the same form as that of b. The biases and mean-square errors of b and b̄ are compared. For the case of zero within-group variance, the use of b̄ always reduces the magnitude of the relative bias and generally reduces the mean-square error. For large values of the within-group variance, use of b̄ may result in an increase in mean-square error.},
+     language = {English},
+     year = {1970},
+     publisher = {American Statistical Association},
+     copyright = {Copyright © 1970 American Statistical Association},
+    }