Difference between revisions of "Three parameter beta distribution estimation procedure"
Jump to navigation
Jump to search
| (3 intermediate revisions by the same user not shown) | |||
| Line 1: | Line 1: | ||
| + | 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. | ||
| Line 4: | Line 5: | ||
[[File:BetaDistributionFourParameters.png|300 px|thumb|right|Form. 1.]] | [[File:BetaDistributionFourParameters.png|300 px|thumb|right|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: | 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 [https://www.mathcha.io/editor/pPzgOF6yI3nHLmp8K9COol96JcN2Ypnos2Ln7e 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. | ||
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:
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.