Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On optimal designs for non-regular models   Classically, Fisher information is the relevant object in defining optimal
experimental designs. However, for models that lack certain regularity, the
Fisher information does not exist and, hence, there is no notion of design
optimality available in the literature. This article seeks to fill the gap by
proposing a so-called Hellinger information, which generalizes Fisher
information in the sense that the two measures agree in regular problems, but
the former also exists for certain types of non-regular problems. We derive a
Hellinger information inequality, showing that Hellinger information defines a
lower bound on the local minimax risk of estimators. This provides a connection
between features of the underlying model---in particular, the design---and the
performance of estimators, motivating the use of this new Hellinger information
for non-regular optimal design problems. Hellinger optimal designs are derived
for several non-regular regression problems, with numerical results empirically
demonstrating the efficiency of these designs compared to alternatives.

3
The categories of this paper are: physics
34
The categories of this paper are: chem-ph
12
The categories of this paper are: nucl-th
37
The categories of this paper are: supr-con
17
The categories of this paper are: q-fin
31
The categories of this paper are: ao-sci
29
The categories of this paper are: funct-an
25
The categories of this paper are: patt-sol
1
The categories of this paper are: cs
14
The categories of this paper are: math-ph
10
The categories of this paper are: q-bio
32
The categories of this paper are: atom-ph
27
The categories of this paper are: comp-gas
30
The categories of this paper are: q-alg
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The categories of this paper are: astro-ph
28
The categories of this paper are: alg-geom