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Jan 27, 2019 at 16:40 comment added Sextus Empiricus @Tbertin, you do not mind that the Bayesian way, say you use a maximum a posteriori predictor, will result in only one single outcome for each temperature. E.g. your outcome will be independent from the particular $\beta$ and $\alpha$ that may generate the temperature, and you will always end up selecting the $\beta$ and $\alpha$ on the iso-temperature line for which the prior joint probability $P(T=x,\alpha=y,\beta=z) = P(\alpha=x,\beta=y) \delta(T-x)$ is maximum. That is, you will be just picking the maximum posterior $ P(\alpha,\beta)$ on the isoline for the T that you measure.
Jan 24, 2019 at 21:26 comment added Tbertin yes, it is my point
Jan 23, 2019 at 8:03 comment added Sextus Empiricus I notice that some people have given an answer in terms of tackling the problem in Bayesian way. Computing some posterior $P(\alpha,\beta | T)$ based on a prior $P (\alpha,\beta)$ and an observed $T$. Is that what you are looking for?
Jan 22, 2019 at 15:30 vote accept Tbertin
Jan 19, 2019 at 14:35 comment added Tbertin i have only one estimation per couple
Jan 19, 2019 at 13:31 answer added Salma Bouzid timeline score: 1
Jan 19, 2019 at 10:09 answer added Sextus Empiricus timeline score: 2
Jan 19, 2019 at 7:22 comment added Karel Macek Just curious:how many experiments or records do you have for one combination of $\alpha$ and $\gamma$?
Jan 19, 2019 at 0:00 answer added Dave Harris timeline score: 1
Jan 18, 2019 at 20:55 history edited Tbertin CC BY-SA 4.0
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Jan 18, 2019 at 15:28 comment added Tbertin Hi, thank you for your answer, but as you can see, a lot of cells have the same temperature, it means that is for a single temperature, you have a bunch of possible alpha and beta... the aim is to find their probability distribution...
Jan 17, 2019 at 21:53 comment added Karel Macek I suppose you have a matrix that you use for the visualization. You can find the cell in that matrix that is closest to 33C. Would this work?
Jan 17, 2019 at 21:25 answer added benso8 timeline score: 1
Jan 17, 2019 at 21:12 history asked Tbertin CC BY-SA 4.0