Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On asymptotically efficient statistical inference on a signal parameter   We consider the problems of confidence estimation and hypothesis testing on a
parameter of signal observed in Gaussian white noise. For these problems we
point out lower bounds of asymptotic efficiency in the zone of moderate
deviation probabilities. These lower bounds are versions of local asymptotic
minimax Hajek-Le Cam lower bound in estimation and the lower bound for Pitman
efficiency in hypothesis testing. The lower bounds were obtained for both
logarithmic and sharp asymptotic of moderate deviation probabilities.

11
The categories of this paper are: hep-lat
14
The categories of this paper are: math-ph
1
The categories of this paper are: cs
7
The categories of this paper are: hep-th
36
The categories of this paper are: cmp-lg
30
The categories of this paper are: q-alg
15
The categories of this paper are: nucl-ex
22
The categories of this paper are: chao-dyn
24
The categories of this paper are: dg-ga
5
The categories of this paper are: gr-qc
10
The categories of this paper are: q-bio
21
The categories of this paper are: adap-org
9
The categories of this paper are: nlin
25
The categories of this paper are: patt-sol
28
The categories of this paper are: alg-geom
20
The categories of this paper are: acc-phys