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File:Example when estimator bias is good.svg

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Summary

DescriptionExample when estimator bias is good.svg
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 domainPublic domainfalsefalse
[画像: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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inception<\/a>"}},"text\/plain":{"en":{"":"inception"}}},"{\"value\":{\"time\":\"+2009年07月06日T00:00:00Z\",\"timezone\":0,\"before\":0,\"after\":0,\"precision\":11,\"calendarmodel\":\"http:\\\/\\\/www.wikidata.org\\\/entity\\\/Q1985727\"},\"type\":\"time\"}":{"text\/html":{"en":{"P571":"6 July 2009"}},"text\/plain":{"en":{"P571":"6 July 2009"}}}}" class="wbmi-entityview-statementsGroup wbmi-entityview-statementsGroup-P571 oo-ui-layout oo-ui-panelLayout oo-ui-panelLayout-framed">

6 July 2009

source of file<\/a>"}},"text\/plain":{"en":{"":"source of file"}}},"{\"value\":{\"entity-type\":\"item\",\"numeric-id\":66458942,\"id\":\"Q66458942\"},\"type\":\"wikibase-entityid\"}":{"text\/html":{"en":{"P7482":"original creation by uploader<\/a>"}},"text\/plain":{"en":{"P7482":"original creation by uploader"}}}}" class="wbmi-entityview-statementsGroup wbmi-entityview-statementsGroup-P7482 oo-ui-layout oo-ui-panelLayout oo-ui-panelLayout-framed">

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Date/TimeThumbnailDimensionsUserComment
current06:49, 7 July 2009 Thumbnail for version as of 06:49, 7 July 2009 180 ×ばつ 121 (6 KB)Stpasha Corrected issues with "^" over betas
06:39, 7 July 2009 Thumbnail for version as of 06:39, 7 July 2009 180 ×ばつ 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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