- #1
GabrielN00
[mentor note: not a homework problem but a question on a math concept/terminology]
This is not exactly a problem, but more a reference request. A problem sheet I have has an exercise called "Application of the law of large numbers with brackets".
What are these "brackets"? It might be because of its generic name, but I haven't found anything about them online. I think there might be another name for it, or some source that I wasn't able to find.
Relevant equations
If ##\Theta \in \mathbb{R}^d## compact, ##\rho(x,\theta): \mathbb{R}^p\times\Theta\rightarrow\mathbb{R}^+## continuous in ##\theta \in \Theta## for all ##x##, then we define ##B=\{\rho(x,\theta), \theta \in \Theta\}=\{\rho_\theta(x), \theta \in \Theta\}##.
##B## is called a "bracket".
This is not exactly a problem, but more a reference request. A problem sheet I have has an exercise called "Application of the law of large numbers with brackets".
What are these "brackets"? It might be because of its generic name, but I haven't found anything about them online. I think there might be another name for it, or some source that I wasn't able to find.
Relevant equations
If ##\Theta \in \mathbb{R}^d## compact, ##\rho(x,\theta): \mathbb{R}^p\times\Theta\rightarrow\mathbb{R}^+## continuous in ##\theta \in \Theta## for all ##x##, then we define ##B=\{\rho(x,\theta), \theta \in \Theta\}=\{\rho_\theta(x), \theta \in \Theta\}##.
##B## is called a "bracket".
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