Three parameter beta distribution estimation procedure

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Revision as of 14:21, 9 October 2024 by Aleene (talk | contribs)
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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: <iframe frameBorder="0" width="100%" height="100%" style="min-width: 400px; min-height:400px" src="https://www.mathcha.io/editor/pPzgOF6yI3nHLmp8K9COol96JcN2Ypnos2Ln7e?embedded=true" ></iframe>