Beta_Distribution_for_conjugate_alpha_beta.svg


Summary

Description
English: Beta distribution for {α,β} = {4,4}, {α,β} = {3-Sqrt(2), 3+Sqrt(2)}, and {α,β} = {3+Sqrt(2), 3-Sqrt(2)}
This file supersedes the file Beta Distribution for alpha=beta=4 and (alpha=3--+Sqrt(2), beta=6-alpha) J. Rodal.jpg . It is recommended to use this file rather than the other one.

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minor quality
Date
Source Own work
Author Rayhem
SVG development
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Source

values = {{4, 4}, {3 - Sqrt[2], 3 + Sqrt[2]}, {3 + Sqrt[2], 3 - Sqrt[2]}};
dists = PDF[BetaDistribution[#1, #2], x] & @@@ values;
figure = Plot[dists, {x, 0, 1}, Frame -> True, Axes -> False, 
  Exclusions -> None, PlotStyle -> Thick, FrameStyle -> {Black}, 
  GridLines -> Automatic, 
  GridLinesStyle -> Directive[LightGray, Dashed], ImageSize -> Large, 
  PlotRange -> {-0.11, 3}, 
  PlotLegends -> 
   Placed[LineLegend[{values}, LegendLayout -> {"Row", 1}, 
     LegendFunction -> (Framed[#1, RoundingRadius -> 5] &), 
     LegendLabel -> "{\[Alpha],\[Beta]}"], {0.5, 0.9}]]

Licensing

I, the copyright holder of this work, hereby publish it under the following license:
w:en:Creative Commons
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  • to share – to copy, distribute and transmit the work
  • to remix – to adapt the work
Under the following conditions:
  • attribution – You must give appropriate credit, provide a link to the license, and indicate if changes were made. You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use.
  • share alike – If you remix, transform, or build upon the material, you must distribute your contributions under the same or compatible license as the original.

Captions

Beta distribution

Items portrayed in this file

depicts

5 January 2023

image/svg+xml

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460 pixel

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