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Feb 16, 2021 at 17:16 comment added user252965 Hi @my2cts, thanks for commenting!
Feb 16, 2021 at 17:15 history edited user252965 CC BY-SA 4.0
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Feb 16, 2021 at 8:57 comment added NDewolf There still is no $x$ in $Z$.
Feb 16, 2021 at 0:12 review Close votes
Mar 13, 2021 at 3:03
Feb 15, 2021 at 23:37 comment added my2cts gibs is actually spelled "Gibbs". Two b's, one s and starting with a capital G. Reference: en.wikipedia.org/wiki/Josiah_Willard_Gibbs
Feb 15, 2021 at 23:12 answer added Andrew timeline score: 0
Feb 15, 2021 at 20:49 history edited user252965 CC BY-SA 4.0
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Feb 15, 2021 at 20:34 comment added user252965 Hi @Andrew. My question is related to the paper "Geometrical aspects of statistical mechanics" Physical Review E, 1995, volume 51, number 2. A few examples are discussed in this paper. However, the probability distributions that authors consider do not show any dependence on $x$.
Feb 15, 2021 at 20:23 comment added Andrew Can you give an example? In the context of Bayesian inference, normally $\theta$ would refer to some parameters and $x$ to observed data. In statistical mechanics I would guess the $\theta$ are playing the role of Lagrange multipliers (inverse temperature, chemical potential...) and the $x$ are quantities the system could exchange with its environment (energy, number of particles, ...). But it would help to see an example or have more context.
Feb 15, 2021 at 20:05 comment added user252965 Hi @Andrew. Ok, I see your point. However, what is the meaning of $x$ in $Z$?
Feb 15, 2021 at 20:03 comment added Andrew It's not true you can write any distribution in this form, this is only true for exponential family of distributions en.wikipedia.org/wiki/Exponential_family
Feb 15, 2021 at 20:03 comment added user252965 Hi @NDewolf, I have just updated the question. Tell me if you see it
Feb 15, 2021 at 20:01 comment added NDewolf There is no $x$ in your $Z$.
Feb 15, 2021 at 19:42 history edited user252965 CC BY-SA 4.0
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Feb 15, 2021 at 19:08 review First posts
Feb 15, 2021 at 23:55
Feb 15, 2021 at 19:08 history asked user252965 CC BY-SA 4.0