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File:Example when estimator bias is good.svg

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Original file (SVG file, nominally 180 × 121 pixels, file size: 6 KB)

Summary

Description
English: This simple diagram shows two estimators, β1 and β2, of true parameter β0. Although second estimator is biased, it is clearly superior to the former.
Date
Source Own work
Author Stpasha

Source code (Mathematica)

Show[
  Graphics[{
    EdgeForm[Thickness[0.006]], RGBColor[1, 0.9, 0.6], 
    Rotate[Disk[{0, 0}, {1, 2}], 2],
    Black, FontSize->14, 
    Inset["\!\(\*SubscriptBox[\"\[Beta]\", \"1\"]\)", {1.6, -0.5}],
    Thickness[0.006], Line[{{1.48, -.35}, {1.56, -.30}, {1.65, -.35}}]
  }],
  Graphics[{
    EdgeForm[Thickness[0.006]], RGBColor[0.5, 0.8, 1], 
    Rotate[Disk[{-0.2, 0.2}, {0.5, 0.3}], -0.4], 
    Black, FontSize->14, 
    Inset["\!\(\*SubscriptBox[\"\[Beta]\", \"2\"]\)", {-0.8, 0.1}],
    Thickness[0.006], Line[{{-.92, 0.24}, {-.84, 0.29}, {-.75, 0.24}}]
  }],
  Graphics[{ 
    Disk[{0, 0}, 0.05],
    FontSize->14, 
    Inset["\!\(\*SubscriptBox[\"\[Beta]\", \"0\"]\)", {0.02, 0.2}]
  }],
  ImageSize -> Small
]
Export["c:/biases.svg", %];

Licensing

Public domain I, the copyright holder of this work, release this work into the public domain. This applies worldwide.
In some countries this may not be legally possible; if so:
I grant anyone the right to use this work for any purpose, without any conditions, unless such conditions are required by law.

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6 July 2009

File history

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Date/TimeThumbnailDimensionsUserComment
current06:49, 7 July 2009Thumbnail for version as of 06:49, 7 July 2009180 × 121 (6 KB)StpashaCorrected issues with "^" over betas
06:39, 7 July 2009Thumbnail for version as of 06:39, 7 July 2009180 × 121 (6 KB)Stpasha{{Information |Description={{en|1=This simple diagram shows two estimators, β1 and β2, of true parameter β0. Although second estimator is biased, it is clearly superior to the former.}} |Source=Own work by uploader |Author=Stpasha |Dat

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