Difference between revisions of "Three parameter beta distribution estimation procedure"

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Part of [[Nutritional values probability theory|this]].
 
No procedure for a three parameter estimation can be found on Internet, so we have to come up with something.
 
No procedure for a three parameter estimation can be found on Internet, so we have to come up with something.
  
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As MediaWiki does not supports maths (yet), have a look at [https://www.mathcha.io/editor/pPzgOF6yI3nHLmp8K9COol96JcN2Ypnos2Ln7e this]
 
As MediaWiki does not supports maths (yet), have a look at [https://www.mathcha.io/editor/pPzgOF6yI3nHLmp8K9COol96JcN2Ypnos2Ln7e this]
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A first experiment with estimating yielded no results: I did not manage to find the variables that converged to a solution. To be continued.

Latest revision as of 07:31, 11 October 2024

Part of this. No procedure for a three parameter estimation can be found on Internet, so we have to come up with something.

The starting point is the four parameter Beta distribution found on wikipedia:

Form. 1.

This formula has two extra parameters a and c, which can be used to normalise the distribution to [0,1] with y = (c-a)x + a. As nutritional values always start at 0, we assume that a = 0. With this we can rewrite formula 1:

As MediaWiki does not supports maths (yet), have a look at this

A first experiment with estimating yielded no results: I did not manage to find the variables that converged to a solution. To be continued.