Meaning of non-parametric empirical Bayes

  • Thread starter Thread starter mersecske
  • Start date Start date
AI Thread Summary
Non-parametric in non-parametric Bayesian modeling typically implies an infinite number of parameters, leading to confusion regarding its application in non-parametric empirical Bayes methods. The discussion raises the question of whether "non-parametric" in this context means the absence of parameters altogether. The Robbins method is highlighted as a specific example of a non-parametric empirical Bayes method. Clarification is sought on whether the term refers to a broader class of methods beyond Robbins. Understanding these distinctions is essential for grasping the nuances of non-parametric empirical Bayes approaches.
mersecske
Messages
186
Reaction score
0
As far as I know non-parametric in non-parametric Bayesian modelling means infinite number of parameters. Therefore I expected the same meaning in non-parametric empirical Bayes methods, however I am a little bit confused, because I cannot find infinite number of parameters in the description of non-parametrics empirical Bayes methods. Is it possible that in this case non-parametric means only no parameter?
 
Physics news on Phys.org
Yes, Robbins method.
 
I was reading documentation about the soundness and completeness of logic formal systems. Consider the following $$\vdash_S \phi$$ where ##S## is the proof-system making part the formal system and ##\phi## is a wff (well formed formula) of the formal language. Note the blank on left of the turnstile symbol ##\vdash_S##, as far as I can tell it actually represents the empty set. So what does it mean ? I guess it actually means ##\phi## is a theorem of the formal system, i.e. there is a...
Back
Top