File:Example when estimator bias is good.svg
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Size of this PNG preview of this SVG file: 180 × 121 pixels. Other resolutions: 320 × 215 pixels | 640 × 430 pixels | 1,024 × 688 pixels | 1,280 × 860 pixels | 2,560 × 1,721 pixels.
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
|
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. |
File history
Click on a date/time to view the file as it appeared at that time.
| Date/Time | Thumbnail | Dimensions | User | Comment | |
|---|---|---|---|---|---|
| current | 08:49, 7 July 2009 | | 180 × 121 (6 KB) | wikimediacommons>Stpasha | Corrected issues with "^" over betas |
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