Quasi-Distribution for Non-Physicists

[consuli]

Hello!

I am a statistician interested in physics.

In the glm procedure in the software R, one can choose, quasi-distribution. I have always wondered what that might be.

Could you introduce the statistical nature of quasi-distribution to me, ideally without mentioning any physics terms like Schrödinger-equation and so on.

Quasi-distribution has a proper statistical definition, doesn't it? So for the first: The density of quasi-distribution references the probability of what?

Consuli

 

[mathman]

https://en.wikipedia.org/wiki/Quasiprobability_distribution

Try the above, but don't ask me to explain!

 

[consuli]

Well, I am looking for a more intuitive and especially less physical but more statistical introduction to this topic.

I am trying"The Wigner Transform", De Gosson, Maurice A, 2017 now. I guess, this isn't easier, but at least more detailed.

Consuli

 

[Stephen Tashi]

In the glm procedure in the software R, one can choose, quasi-distribution. I have always wondered what that might be.

The R documentation I see online uses the term "quasilikelihood", not "quasidistribution". https://www.rdocumentation.org/packages/stats/versions/3.4.3/topics/glm

A "Quasi-likelihood" may be an entirely different thing than a quasiprobability distribution. (The current Wikipedia treats them in different articles.)

Attempting to develop an intuition about either concept would be an interesting project.

 

[consuli]

The R documentation I see online uses the term "quasilikelihood", not "quasidistribution". https://www.rdocumentation.org/packages/stats/versions/3.4.3/topics/glm A "Quasi-likelihood" may be an entirely different thing than a quasiprobability distribution. (The current Wikipedia treats them in different articles.)

Meanwhile I have figured out, that
Wigner Probability Distribution
and
Quasi Probability Distribution
are the same, thus both related to Schrödinger equation (and the ones I asked for)

but
Quasi-likelihood
is another very different thing (I did NOT asked for).

Consuli